tr.bib

@COMMENT{{This file has been generated by bib2bib 1.46}}

@COMMENT{{Command line: /webadmin/algweb/bin/bib2bib -q -oc /WWW/algor/reports/tagstr -ob /WWW/algor/reports/trnourl.bib -c 'number : ".*/.*pa.*/.*"' /WWW/algor/reports/all.bib}}

@TECHREPORT{dalt:89,
  AUTHOR = {M.~J.~Daydé and M.~Lescrenier and Ph.~L.~Toint},
  TITLE = {A comparison between {S}traeter's parallel variable
       metric algorithm and parallel discrete {N}ewton's
       methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1989},
  NUMBER = {TR/PA/89/15},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{adnr:90c,
  AUTHOR = {M.~Arioli and I.~S.~Duff and J.~Noailles and
       D.~Ruiz},
  TITLE = {A block projection method for sparse matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/31},
  NOTE = {Preliminary version of the article published in
       SISC, vol. 13, pp 47-70}
}

@TECHREPORT{crps:90,
  AUTHOR = {M.~Crouzeix and B.~Philippe and M.~Sadkane},
  TITLE = {The {D}avidson method},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/45}
}

@TECHREPORT{dadu:90a,
  AUTHOR = {M.~J.~Daydé and I.~S.~Duff},
  TITLE = {Use of Level 3 {BLAS} in {LU} factorization in a
       multiprocessing environment on three vector
       multiprocessors, the {A}LLIANT {FX}/80, the
       {CRAY}-2, and the {IBM} 3090/{VF}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/30},
  NOTE = {Preliminary version of the article published in
       Int. J. Supercomputer Applications, vol. 3, nber 2,
       pp 40-70}
}

@TECHREPORT{duff:90e,
  AUTHOR = {I.~S.~Duff},
  TITLE = {Parallel algorithm research at {CERFACS}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/40}
}

@TECHREPORT{dupu:90b,
  AUTHOR = {I.~S.~Duff and C.~Puglisi},
  TITLE = {Efficient computation of a matrix-matrix kernel},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/12},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1990/TR_PA_90_12.ps.gz}
}

@TECHREPORT{edel:90,
  AUTHOR = {A.~Edelman},
  TITLE = {Note on the probability that a numerical analysis
       problem is difficult},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/21}
}

@TECHREPORT{pugl:90,
  AUTHOR = {C.~Puglisi},
  TITLE = {Modification of the {H}ouseholder method based on
       the compact {WY} representation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/29},
  NOTE = {Preliminary version of the article published in
       SISC, vol. 13, pp 723-726},
  URL = {http://www.cerfacs.fr/algor/reports/1990/TR_PA_90_29.ps.gz}
}

@TECHREPORT{rota:90,
  AUTHOR = {Y.-H.~{De Roeck} and P.~{Le Tallec}},
  TITLE = {Analysis and test of a local domain decomposition
       preconditioner},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/28}
}

@TECHREPORT{sadk:90,
  AUTHOR = {M.~Sadkane},
  TITLE = {A Block {A}rnoldi-{C}hebyshev method for computing
       the leading eigenpairs of large sparse unsymmetric
       matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/46}
}

@TECHREPORT{sadk:90b,
  AUTHOR = {M.~Sadkane},
  TITLE = {On the solution of large sparse eigenvalue problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/47}
}

@TECHREPORT{tarv:90,
  AUTHOR = {P.~{Le Tallec} and Y.-H.~{De Roeck} and M.~Vidrascu},
  TITLE = {Domain decomposition methods for the large linearly
       elliptic three dimensional problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1990},
  NUMBER = {TR/PA/90/20}
}

@TECHREPORT{algoreport:91,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 1991},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1991},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/91/00}
}

@TECHREPORT{adrs:91,
  AUTHOR = {M.~Arioli and I.~S.~Duff and D.~Ruiz and M.~Sadkane},
  TITLE = {Techniques for accelerating the block {C}immino
       method},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1991},
  NUMBER = {TR/PA/91/63},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of article in SISC, vol. 16 ,
       nber 6 , pp 1478-1511}
}

@TECHREPORT{ardr:91,
  AUTHOR = {M.~Arioli and I.~S.~Duff and D.~Ruiz},
  TITLE = {Stopping criteria for iterative solvers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1991},
  NUMBER = {TR/PA/91/58},
  NOTE = {Preliminary version of the article published in
       SIMAX, vol. 13, pp 138-144}
}

@TECHREPORT{armv:91,
  AUTHOR = {M.~Arioli and H.~Munthe-Kaas and L.~Valdettaro},
  TITLE = {Componentwise error analysis for {FFT}'s with
       applications to fast {H}elmholz solvers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1991},
  NUMBER = {TR/IT/PA/91/55}
}

@TECHREPORT{bedm:91,
  AUTHOR = {Ph.~Berger and M.~J.~Daydé and P.~Morère},
  TITLE = {Implementation and use of Level 3 {BLAS} kernels on
       a transputer {T}800 ring network},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1991},
  MONTH = {June},
  NUMBER = {TR/PA/91/54}
}

@TECHREPORT{chfr:91a,
  AUTHOR = {F.~Chatelin and V.~Frayssé},
  TITLE = {A statistical study of the stability of linear
       systems},
  INSTITUTION = {CERFACS},
  YEAR = {1991},
  NUMBER = {TR/PA/91/43},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{chfr:91b,
  AUTHOR = {F.~Chatelin and V.~Frayss{é}},
  TITLE = {Arithmetic reliability of algorithms},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1991},
  NUMBER = {TR/PA/91/57},
  NOTE = {Preliminary version of proceeding in 2nd {S}ymposium
       on {H}igh {P}erformance {C}omputing}
}

@TECHREPORT{chfr:91c,
  AUTHOR = {F.~Chatelin and V.~Frayss{é}},
  TITLE = {Analysis of arithmetic algorithms: a statistical
       study},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1991},
  NUMBER = {TR/PA/91/56},
  NOTE = {Preliminary version of proceeding in 10th Symposium
       on Computer Arithmetic, June 1991}
}

@TECHREPORT{rotv:91,
  AUTHOR = {Y.-H.~{De Roeck} and P.~{Le Tallec} and M.~Vidrascu},
  TITLE = {A domain-decomposed solver for nonlinear elasticity},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1991},
  NUMBER = {TR/PA/91/51}
}

@TECHREPORT{savi:91a,
  AUTHOR = {M.~Sadkane and B.~Vital},
  TITLE = {Davidson's method for linear systems of equations:
       Implementation of a block algorithm on a
       multiprocessor},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1991},
  NUMBER = {TR/PA/91/60},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{addm:92a,
  AUTHOR = {P.~R.~Amestoy and M.~J.~Daydé and I.~S.~Duff and
       P.~Morère},
  TITLE = {Linear algebra calculations on a virtual shared
       memory computer},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/70},
  NOTE = {Preliminary version of article in Int. J. of High
       Speed Computing, 1995, vol.~7(1)}
}

@TECHREPORT{amdu:92,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff},
  TITLE = {Memory allocation issues in sparse multifrontal
       methods on multiprocessors},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/83},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{arcf:92a,
  AUTHOR = {M.~Arioli and B.~Codenotti and C.~Fassino},
  TITLE = {The {P}ade method for computing the matrix
       exponential},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/84},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{arcf:92b,
  AUTHOR = {M.~Arioli and B.~Codenotti and C.~Fassino},
  TITLE = {Error analysis of three methods for computing the
       matrix exponential},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/87},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{basm:92,
  AUTHOR = {N.~Barth and S.~L.~Smith},
  TITLE = {Coupling numerical models of the atmosphere and
       ocean using the {P}arallel {V}irtual {M}achine
       ({PVM}) package},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/CMGC/PA/92/76},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{care:92,
  AUTHOR = {D.~Calvetti and L.~Reichel},
  TITLE = {Adaptive {R}ichardson iteration based on {L}eja
       points},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/82},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{dadp:92,
  AUTHOR = {M.~J.~Daydé and I.~S.~Duff and A.~Petitet},
  TITLE = {A parallel block implementation of Level 3 {BLAS}
       kernels for {MIMD} vector processors},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/74},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in ACM
       TOMS, vol. 20, pp 178-193},
  URL = {http://www.cerfacs.fr/algor/reports/1992/TR_PA_92_74.ps.gz}
}

@TECHREPORT{ddeg:92,
  AUTHOR = {M.~J.~Daydé and I.~S.~Duff and J.-Y.~L'Excellent
       and L.~Giraud},
  TITLE = {Evaluation d'ordinateurs vectoriels et parallèles
       sur un jeu de programmes représentatifs des
       calculs intensifs à la division avions de
       l'{A}érospatiale~: bilan de l'étape de portage},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {PR/PA/92/10},
  TYPE = {{Partner Report}}
}

@TECHREPORT{deed:92,
  AUTHOR = {J.~W.~Demmel and A.~Edelman},
  TITLE = {The dimension of matrices (matrix pencils) with
       given {J}ordan ({K}ronecker) canonical forms},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/67},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{dugl:92,
  AUTHOR = {I.~S.~Duff and R.~G.~Grimes and J.~G.~Lewis},
  TITLE = {Users' Guide for the {H}arwell-{B}oeing Sparse
       Matrix Collection},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/86},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Also RAL Technical Report RAL 92-086}
}

@TECHREPORT{dumr:92,
  AUTHOR = {I.~S.~Duff and M.~Marrone and G.~Radicati},
  TITLE = {A proposal for user level sparse {BLAS}. SPARKER
       Working Note 1},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/85},
  TYPE = {{T}ech. {R}ep.}
}

@TECHREPORT{gira:92,
  AUTHOR = {L.~Giraud},
  TITLE = {Shared and distributed implementations of block
       preconditioned conjugate gradient using domain
       decomposition on a distributed virtual shared memory
       computer},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/91},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1992/TR_PA_92_91.ps.gz}
}

@TECHREPORT{gotu:92,
  AUTHOR = {G.~H.~Golub and R.~S.~Tuminaro},
  TITLE = {Cyclic reduction / multigrid},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/79},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{hamm:92,
  AUTHOR = {S.~W.~Hammond},
  TITLE = {Parallel block {$LU$} and {$LDL^T$} decomposition of
       LARGE dense complex linear systems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/93},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{hero:92,
  AUTHOR = {M.~A.~Heroux},
  TITLE = {A proposal for a sparse {BLAS} toolkit. SPARKER
       Working Note 2},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/90},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{lere:92,
  AUTHOR = {N.~Levenberg and L.~Reichel},
  TITLE = {A generalized {ADI} iterative method},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/81},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{munt:92,
  AUTHOR = {H.~Munthe-Kaas},
  TITLE = {Super Parallel {FFT}'s},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/64},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{simp:92,
  AUTHOR = {R.~B.~Simpson},
  TITLE = {A database abstraction for unstructured triangular
       mesh algorithms},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/66},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{simps:92b,
  AUTHOR = {R.~B.~Simpson},
  TITLE = {Anisotropic mesh transformations and optimal error
       control},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/77},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{smit:92,
  AUTHOR = {S.~L.~Smith},
  TITLE = {Performance analysis of dynamic scheduling
       techniques for irregularly structured computation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/88},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{tuwa:92,
  AUTHOR = {R.~S.~Tuminaro and W.~Walker},
  TITLE = {The solution of the drift-diffusion equations on a
       large scale parallel machine},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/80},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{vdvo:92,
  AUTHOR = {H.~A.~{van der Vorst}},
  TITLE = {Lecture notes on iterative methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1992},
  NUMBER = {TR/PA/92/75},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{algoreport:93,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 1993},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/93/00}
}

@TECHREPORT{acdgr:93,
  AUTHOR = {M.~Arioli and T.~F.~Chan and I.~S.~Duff and
       N.~I.~M.~Gould and J.~K.~Reid},
  TITLE = {Computing a search direction for large-scale
       linearly-constrained nonlinear optimization
       calculations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/34},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Also RAL Technical Report RAL 93-066}
}

@TECHREPORT{ast:93,
  AUTHOR = {I.~d'Ast},
  TITLE = {Parallelization of a bidimensional compressible
       unsteady {N}avier-{S}tokes solver on shared and
       distributed {MIMD} computers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/04},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{basm:93,
  AUTHOR = {N.~Barth and S.~L.~Smith},
  TITLE = {{DC} a package for distributed coupling},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/24},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{bcgt:93,
  AUTHOR = {I.~Bongartz and A.~R.~Conn and N.~I.~M.~Gould and
       Ph.~L.~Toint},
  TITLE = {{CUTE}~: {C}onstrained and {U}nconstrained {T}esting
       {E}nvironment},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/10},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{bodo:93,
  AUTHOR = {E.~Bodon},
  TITLE = {Numerical experiments with {ABS} algorithms on
       banded systems of linear equations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/13},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{bodo:93b,
  AUTHOR = {E.~Bodon},
  TITLE = {Numerical experiments with {ABS} algorithms on upper
       banded systems of linear equations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/14},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{bosc:93a,
  AUTHOR = {A.~Bouaricha and R.~B.~Schnabel},
  TITLE = {Parallel tensor methods for nonlinear equations and
       nonlinear least squares},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/20},
  CATEGORY = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_20.ps.gz}
}

@TECHREPORT{bosc:93b,
  AUTHOR = {A.~Bouaricha and R.~B.~Schnabel},
  TITLE = {TENSOLVE : A software package for solving systems of
       nonlinear equations and nonlinear least squares
       problems using tensor methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/23},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{boua:93,
  AUTHOR = {A.~Bouaricha},
  TITLE = {Software Package for Large Sparse Unconstraint
       Optimization using Tensor Methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/35},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_35.ps.gz}
}

@TECHREPORT{brac:93,
  AUTHOR = {T.~Braconnier},
  TITLE = {The {A}rnoldi-{T}chebycheff algorithm for solving
       large non symmetric eigenproblems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/25},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_25.ps.gz}
}

@TECHREPORT{cgst:93a,
  AUTHOR = {A.~R.~Conn and N.~I.~M.~Gould and A.~Sartenaer and
       Ph.~L.~Toint},
  TITLE = {Global convergence of two augmented Lagrangian
       algorithms for optimization with a combination of
       general equality and linear constraints},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/26},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{cgst:93b,
  AUTHOR = {A .~R.~Conn and N.~I.~M.~Gould and A.~Sartenaer and
       Ph.~L.~Toint},
  TITLE = {Local convergence properties of two augmented
       Lagrangian algorithms for optimization with a
       combination of general equality and linear
       constraints},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/27},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{chfb:93,
  AUTHOR = {T.~Braconnier and F.~Chatelin and V.~Frayssé},
  TITLE = {Qualitative {C}omputing~: elements of a theory for
       finite precision computation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/12},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Lecture Notes for the Workshop on Reliability of
       Computations, March 30-April 1, Toulouse, France}
}

@TECHREPORT{cogt:93,
  AUTHOR = {A.~R.~Conn and N.~I.~M.~Gould and Ph.~L.~Toint},
  TITLE = {Improving the decomposition of partially separable
       functions in the context of large-scale
       optimization: a first approach},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/16},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{cogt:93b,
  AUTHOR = {A.~R.~Conn and N.~I.~M.~Gould and Ph.~L.~Toint},
  TITLE = {A note on using alternative second-order models for
       the subproblems arising in barrier function methods
       for minimization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/17},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{dadu:93a,
  AUTHOR = {T.~A.~Davis and I.~S.~Duff},
  TITLE = {An unsymmetric-pattern multifrontal method for
       sparse {LU} factorization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/21},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{ddlg:93,
  AUTHOR = {M.~J.~Daydé and I.~S.~Duff and J.-Y.~L'Excellent
       and L.~Giraud},
  TITLE = {Evaluation d'ordinateurs vectoriels et
       parall{è}les sur un jeu de programmes
       repr{é}sentatifs des calculs intensifs {à} la
       division Avions de l'{A}{é}rospatiale},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {PR/PA/93/19},
  TYPE = {{Partner Report}},
  NOTE = {Rapport final}
}

@TECHREPORT{dias:93,
  AUTHOR = {F.~D.~D'Almeida},
  TITLE = {Iterative refinement of eigenelements of compact
       integral operators using {BLAS} 3 routines on the
       {A}lliant {VFX}/80 and the {A}lliant {FX}/2800},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/11},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{dudr:93,
  AUTHOR = {I.~S.~Duff and T.~Drummond and D.~Ruiz},
  TITLE = {A parallel distributed implementation of the block
       conjugate gradient algorithm},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/02},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_02.ps.gz}
}

@TECHREPORT{edel:93,
  AUTHOR = {A.~Edelman},
  TITLE = {Large dense numerical linear algebra in 1993; {T}he
       parallel computing influence},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = 1993,
  NUMBER = {TR/PA/93/51},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_51.ps.gz}
}

@TECHREPORT{gima:93,
  AUTHOR = {L.~Giraud and G.~M.~Manzini},
  TITLE = {Parallel Implementations of a Multidomain Explicit
       High-order Accurate {E}uler Solver},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/CFD-PA/93/49},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in
       Journal of Computational Physics, vol. 123, pp
       111-118},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_CFD-PA_93_49.ps.gz}
}

@TECHREPORT{gitu:93a,
  AUTHOR = {L.~Giraud and R.~S.~Tuminaro},
  TITLE = {A Domain Decomposition Probing Variant Suitable for
       Anisotropic Problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/36},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_36.ps.gz}
}

@TECHREPORT{gitu:93b,
  AUTHOR = {L.~Giraud and R.~S.~Tuminaro},
  TITLE = {Grid Transfer Operators for Highly Variable
       Coefficient Problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/37},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_37.ps.gz}
}

@TECHREPORT{goko:93,
  AUTHOR = {S.~Godet-Thobie and V.~Kostin},
  TITLE = {Some experiments with the unsymmetric eigenvalue
       problem},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/15},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{hegl:93,
  AUTHOR = {M.~Hegland},
  TITLE = {Description and use of animal breeding data for
       large least squares problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/50},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_50.ps.gz}
}

@TECHREPORT{kost:93,
  AUTHOR = {V.~I.~Kostin},
  TITLE = {Linear algebra algorithms with guaranteed accuracy},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/05},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{marq:93a,
  AUTHOR = {O.~A.~Marques},
  TITLE = {Optimization of a symmetric block {L}anczos Basis
       generation process},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/52},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_52.ps.gz}
}

@TECHREPORT{marq:93b,
  AUTHOR = {O.~A.~Marques},
  TITLE = {A partitioned skyline {LDL$^T$} factorization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/53},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_53.ps.gz}
}

@TECHREPORT{seva:93,
  AUTHOR = {E.~Sevault},
  TITLE = {A barotropic vorticity equation model on a {V}irtual
       {S}hared {M}emory computer},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1993},
  NUMBER = {TR/PA/93/22},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1993/TR_PA_93_22.ps.gz}
}

@TECHREPORT{algoreport:94,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific Report for 1994},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/95/37},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_37.ps.gz}
}

@TECHREPORT{addr:94,
  AUTHOR = {M.~Arioli and A.~Drummond and I.~S.~Duff and
       D.~Ruiz},
  TITLE = {A parallel scheduler for block iterative solvers in
       heterogeneous computing environments},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/15},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_15.ps.gz}
}

@TECHREPORT{amdg:94a,
  AUTHOR = {C.~Amestoy and M.~J.~Daydé and L.~Giraud},
  TITLE = {Parallélisation conjointe {CERFACS-CNES} d'un code
       pilote du {CNES}: Bilan de la première phase},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {IR/PA/94/06},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{amdg:94b,
  AUTHOR = {C.~Amestoy and M.~J.~Daydé and L.~Giraud},
  TITLE = {Parallelisation conjointe {CERFACS-CNES} d'un code
       pilote du {CNES}.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {FR/PA/94/13},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{amdp:94,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and C.~Puglisi},
  TITLE = {Multifrontal {QR} factorisation in a multiprocessor
       environment},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/09},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_09.ps.gz}
}

@TECHREPORT{bebr:93a,
  AUTHOR = {M.~Bennani and T.~Braconnier},
  TITLE = {Stopping criteria for eigensolvers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/22},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_22.ps.gz}
}

@TECHREPORT{bebr:93b,
  AUTHOR = {M.~Bennani and T.~Braconnier},
  TITLE = {Comparative behaviour of eigensolvers on highly
       nonnormal matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/23},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_23.ps.gz}
}

@TECHREPORT{boua:94,
  AUTHOR = {A.~Bouaricha},
  TITLE = {Tensor methods for large sparse unconstrained
       optimization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/02},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_02.ps.gz}
}

@TECHREPORT{boua:94b,
  AUTHOR = {A.~Bouaricha},
  TITLE = {{T}ensor-{K}rylov methods for large sparse systems
       of nonlinear equations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/04},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_04.ps.gz}
}

@TECHREPORT{brac:94b,
  AUTHOR = {T.~Braconnier},
  TITLE = {The {A}rnoldi-{T}chebycheff algorithm for solving
       large complex nonhermitian generalized
       eigenproblems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/08},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_08.ps.gz}
}

@TECHREPORT{brac:94c,
  AUTHOR = {T.~Braconnier},
  TITLE = {The role of the orthogonalization scheme used for
       eigensolvers applied to nonnormal matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/20},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_20.ps.gz}
}

@TECHREPORT{chat:94a,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Le calcul sur ordinateur à précision finie},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  MONTH = {February},
  NUMBER = {TR/PA/94/05},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Rapport réalisé à la demande de l'Institut
       d'Expertise de l'Ecole Normale Supérieure pour le
       compte de la DGA / DRET},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_05.ps.gz}
}

@TECHREPORT{chat:94b,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Is nonnormality a serious difficulty?},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  MONTH = {August},
  NUMBER = {TR/PA/94/18},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Presented at ILAS 94, Rotterdam.},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_18.ps.gz}
}

@TECHREPORT{chfb:94,
  AUTHOR = {F.~Chaitin-Chatelin and V.~Frayssé and
       T.~Braconnier},
  TITLE = {The influence of large nonnormality on the quality
       of convergence of iterative methods in linear
       algebra},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/07},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_07.ps.gz}
}

@TECHREPORT{dadu:94a,
  AUTHOR = {M.~J.~Daydé and I.~S.~Duff},
  TITLE = {Porting industrial codes and developing sparse
       linear solvers on parallel computers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/01},
  NOTE = {Also published as RAL Report 94-019. Preliminary
       version of proceeding of VECPAR 93 in Computing
       Systems in Engineering, vol. 6, nber 4/5, pp
       295-305},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_01.ps.gz}
}

@TECHREPORT{dadu:94b,
  AUTHOR = {M.~J.~Daydé and I.~S.~Duff},
  TITLE = {The {CERFACS} experience},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/10},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_10.ps.gz}
}

@TECHREPORT{gkpp:94,
  AUTHOR = {R.~Glowinski and A.~J.~Kearsley and T.~W.~Pan and
       J.~Periaux},
  TITLE = {Numerical simulation and optimal shape for viscous
       flow by a fictitious domain method},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/19},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{grat:94,
  AUTHOR = {S.~Gratton},
  TITLE = {Moindres carrés pour l'orbitographie. {E}tude de
       la stabilité},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/17},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{marq:94,
  AUTHOR = {O.~A.~Marques},
  TITLE = {An interactive complex hermitian-{L}anczos
       eigensolver},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/16},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_16.ps.gz}
}

@TECHREPORT{perr:94,
  AUTHOR = {J.~Perrin},
  TITLE = {La collection de matrices creuses
       {H}arwell-{B}oeing. Méthode de résolution
       frontale en environnement distribué},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1994},
  NUMBER = {TR/PA/94/15},
  URL = {http://www.cerfacs.fr/algor/reports/1994/TR_PA_94_15.ps.gz}
}

@TECHREPORT{amdd:95a,
  AUTHOR = {P.~R.~Amestoy and T.~A.~Davis and I.~S.~Duff},
  TITLE = {An approximate minimum degree ordering algorithm},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/09},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_09.ps.gz}
}

@TECHREPORT{burd:95,
  AUTHOR = {O.~Burdakov},
  TITLE = {On properties of {N}ewton's method for smooth and
       nonsmooth equations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/14},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_14.ps.gz}
}

@TECHREPORT{burd:95b,
  AUTHOR = {O.~Burdakov},
  TITLE = {An {MST}-type algorithm for the optimal basis
       problem},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/22},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_22.ps.gz}
}

@TECHREPORT{algoreport:96,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 1996},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/97/03},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_03.ps.gz}
}

@TECHREPORT{cadg:95,
  AUTHOR = {L.~M.~Carvalho and I.~S.~Duff and L.~Giraud},
  TITLE = {Linear algebra kernels for parallel domain
       decomposition methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/26},
  NOTE = {Preliminary version of proceeding in {A}dvanced
       {C}omputational {M}ethods in {S}tructural
       {M}echanics, 1996},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_26.ps.gz}
}

@TECHREPORT{chat:95,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Le calcul qualitatif. {C}omment donner un sens à
       des résultats faux ?},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  MONTH = {Mars},
  NUMBER = {TR/PA/95/10},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Support de cours pour le DEA intensif Problèmes
       inverses en Astrophysique. Concepts mathématiques
       et méthodes de résolution, CIRM, Luminy, 20-24
       Mars 95},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_10.ps.gz}
}

@TECHREPORT{chgr:95,
  AUTHOR = {F.~Chaitin-Chatelin and S.~Gratton},
  TITLE = {Convergence in finite precision of successive
       iteration methods under high nonnormality},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/43},
  NOTE = {Preliminary version of the article published in BIT,
       vol. 36, pp 455-469},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_43.ps.gz}
}

@TECHREPORT{does:95,
  AUTHOR = {C.~Douglas and A.~Ern and M.~Smooke},
  TITLE = {High Performance Computing and Numerical Simulation
       of Flames},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/34},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_34.ps.gz}
}

@TECHREPORT{doug:95,
  AUTHOR = {C.~Douglas},
  TITLE = {Caching with Multigrid Algorithms : Problems in Two
       Dimensions},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/15},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_15.ps.gz}
}

@TECHREPORT{doug:95b,
  AUTHOR = {C.~Douglas},
  TITLE = {A Sparse Matrix Approach to Abstract Multilevel
       Solvers on Serial Parallel Computers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/35},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_35.ps.gz}
}

@TECHREPORT{doug:95c,
  AUTHOR = {C.~Douglas},
  TITLE = {A Review of Numerous Parallel Multigrid Methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/36},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_36.ps.gz}
}

@TECHREPORT{frgr:95,
  AUTHOR = {V.~Frayss{é} and S.~Gratton},
  TITLE = {Moindres carr{é}s pour l'orbitographie - {E}tude
       de Stabilit{é} - {P}artie {II}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {FR/PA/95/28},
  TYPE = {{C}ontract {R}eport}
}

@TECHREPORT{gcji:95,
  AUTHOR = {F.~Collino and S.~Ghanemi and L.~Giraud and
       S.~Gratton and M.~Invernizzi and P.~Joly and
       A.~Piacentini},
  TITLE = {Rapport de fin de contrat {T}homson: Résolution
       des équations de {M}axwell tridimensionnelles dans
       le domaine fréquentiel sur réseaux
       hétérogènes de calculateurs.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {FR/EL-PA/95/25}
}

@TECHREPORT{gigr:95,
  AUTHOR = {L.~Giraud and S.~Gratton},
  TITLE = {Solveurs lin{é}aires performants pour la
       r{é}solution de syst{è}mes complexes non
       hermitiens creux de grande taille},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/24}
}

@TECHREPORT{gitu:95,
  AUTHOR = {L.~Giraud and R.~S.~Tuminaro},
  TITLE = {Time Dependent Solvers on Distributed Memory
       Computers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/03},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in
       Calculateurs parallèles, vol. 7, nber 3, pp
       255-269},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_03.ps.gz}
}

@TECHREPORT{gnsv:95,
  AUTHOR = {L.~Giraud and P.~Noyret and E.~Sevault and V.~{Van
       Kemenade}},
  TITLE = {{IPM} - User's guide and reference manual},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/01},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_01.ps.gz}
}

@TECHREPORT{grat:95,
  AUTHOR = {S.~Gratton},
  TITLE = {Moindres carrés pour l'orbitographie - {E}tude de
       Stabilité},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {IR/PA/95/20},
  TYPE = {{C}ontract {R}eport}
}

@TECHREPORT{grat:95b,
  AUTHOR = {S.~Gratton},
  TITLE = {On the condition number of linear least squares
       problems in {F}robenius norm},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/27},
  NOTE = {Preliminary version of the article published in BIT,
       vol. 36, pp 523-530},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_27.ps.gz}
}

@TECHREPORT{marq:95,
  AUTHOR = {O.~A.~Marques},
  TITLE = {Eigensolvers and Applications in Finite Element
       Analyses},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/29},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_29.ps.gz}
}

@TECHREPORT{marq:95b,
  AUTHOR = {O.~A.~Marques},
  TITLE = {{BLZPACK}: Description and User's Guide},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/30},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_30.ps.gz}
}

@TECHREPORT{masa:95,
  AUTHOR = {O.~A.~Marques and Y-H.~Sanejouand},
  TITLE = {Hinge Bending Motion in Citrate Synthase Arising
       from Normal Modes Calculations.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/31},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_31.ps.gz}
}

@TECHREPORT{masa:95b,
  AUTHOR = {O.~A.~Marques and Y-H.~Sanejouand},
  TITLE = {Protein Motions through Eigenanalyses : A Set of
       Study Cases},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/32},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_32.ps.gz}
}

@TECHREPORT{mato:95a,
  AUTHOR = {O.~A.~Marques and V.~Toumazou},
  TITLE = {Spectral Portrait Computation by a Lanczos Method
       (Normal equation version)},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/02},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{mato:95b,
  AUTHOR = {O.~A.~Marques and V.~Toumazou},
  TITLE = {Spectral Portrait Computation by a {L}anczos Method
       (Augmented Matrix version)},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {TR/PA/95/05},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1995/TR_PA_95_05.ps.gz}
}

@TECHREPORT{sclm:95,
  AUTHOR = {R.~M.~Sydenstricker and A.~L.~G.~A.~Coutinho and
       L.~Landau and O.~A.~Marques},
  TITLE = {Pseudoconsistent load vector and mass matrix for the
       discrete {K}irchhoff and discrete shear triangle
       elements.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1995},
  NUMBER = {FR/PA/95/44}
}

@TECHREPORT{benz:96,
  AUTHOR = {M.~Benzi},
  TITLE = {Remarks on the Numerical Solution of Certain Linear
       Complementarity Problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/42},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in
       J. Comp. Appl. Math., vol. 83, pp 1137-143},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_42.ps.gz}
}

@TECHREPORT{besz:96,
  AUTHOR = {M.~Benzi and D.~B.~Szyld},
  TITLE = {Existence and uniqueness of splittings for
       Stationary Iterative Methods with Applications to
       Alternating Methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/16},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in
       Numerische Mathematik, vol. 76, pp 309-321},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_16.ps.gz}
}

@TECHREPORT{betu:96a,
  AUTHOR = {M.~Benzi and M.~Tuma},
  TITLE = {A Sparse Approximate Inverse Preconditioner for
       Nonsymmetric Linear Systems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/15},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in
       SISC, vol. 19, nber 3, pp 968-994},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_15.ps.gz}
}

@TECHREPORT{betu:96c,
  AUTHOR = {M.~Benzi and M.~Tuma},
  TITLE = {Approximate Inverse Preconditioning for the
       Conjugate Gradient Method on a Vector Computer},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/41},
  TYPE = {{T}echnical {R}eport},
  NOTE = {In Proceedings of the Prague Mathematical Conference
       (PMC96), K. Segeth (Ed.), 29-34, 1996.},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_41.ps.gz}
}

@TECHREPORT{brch:96,
  AUTHOR = {T.~Braconnier and F.~Chaitin-Chatelin},
  TITLE = {Chaotic behaviour for eigensolvers applied on highly
       nonnormal matrices in finite precision},
  INSTITUTION = {Manchester Center for Computational Mathematics},
  YEAR = {1996},
  NUMBER = {TR/PA/96/50},
  NOTE = {Also published as Numerical Analysis Report 303},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_50.ps.gz}
}

@TECHREPORT{cadj:96,
  AUTHOR = {J.~Cardenal and I.~S.~Duff and J.~M.~Jimenez},
  TITLE = {A projection method for the solution of rectangular
       systems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/05},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in IMA
       J. Numerical Analysis, vol. 18, nber 2, pp 165-177},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_05.ps.gz}
}

@TECHREPORT{cagi:96a,
  AUTHOR = {L.~M.~Carvalho and L.~Giraud},
  TITLE = {Additive {S}chwarz for the {S}chur complement
       method},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  MONTH = {September},
  NUMBER = {TR/PA/96/51},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of proceeding in {D}omain
       {D}ecomposition {M}ethods in {S}cientific
       {C}omputing, 1998},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_51.ps.gz}
}

@TECHREPORT{chat:96b,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Is nonnormality a serious computational difficulty
       in practice~?},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/33},
  NOTE = {Preliminary version of proceeding in {T}he quality
       of {N}umerical {S}oftware, 1997},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_33.ps.gz}
}

@TECHREPORT{dadu:96,
  AUTHOR = {M.~J.~Dayd{é} and I.~S.~Duff},
  TITLE = {A blocked implementation of Level 3 {BLAS} for
       {RISC} processors},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/06},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Also ENSEEIHT-IRIT Technical Report RT/APO/96/1 and
       RAL Technical Report RAL-TR-96-014},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_06.ps.gz}
}

@TECHREPORT{dadu:96a,
  AUTHOR = {M.~J.~Daydé and I.~S.~Duff},
  TITLE = {Use of Computational Kernels in full and Sparse
       Linear Solvers, Efficient Code Design on
       High-Performance {RISC} Processors},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/47},
  NOTE = {Presented at meeting VECPAR'96, Porto, Portugal},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_47.ps.gz}
}

@TECHREPORT{duff:96a,
  AUTHOR = {I.~S.~Duff},
  TITLE = {Sparse numerical linear algebra: direct methods and
       preconditioning},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/22},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Also RAL Report RAL 96-047},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_22.ps.gz}
}

@TECHREPORT{fgnt:96,
  AUTHOR = {V.~Frayssé and M.~Gueury and F.~Nicoud and
       V.~Toumazou},
  TITLE = {Spectral portraits for matrix pencils},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/19},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_19.ps.gz}
}

@TECHREPORT{frgg:96,
  AUTHOR = {V.~Frayssé and L.~Giraud and S.~Gratton},
  TITLE = {Solveurs linéaires itératifs pour la
       résolution de systèmes complexes non hermitiens
       creux de grande taille},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {FR/PA/96/34},
  TYPE = {{C}ontract {R}eport}
}

@TECHREPORT{frgt:96a,
  AUTHOR = {V.~Frayssé and L.~Giraud and V.~Toumazou},
  TITLE = {Parallel computation of spectral portraits on the
       {M}eiko {CS}2},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/02},
  NOTE = {Preliminary version of proceeding in
       {H}igh-{P}erformance {C}omputing and {N}etworking,
       1996},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_02.ps.gz}
}

@TECHREPORT{frgt:96c,
  AUTHOR = {V.~Frayssé and S.~Gratton and V.~Toumazou},
  TITLE = {Note on the conditioning of linear systems of the
       kind ${A^*A}x = b$},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/17},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_17.ps.gz}
}

@TECHREPORT{frto:96,
  AUTHOR = {V.~Frayssé and V.~Toumazou},
  TITLE = {A note on the normwise perturbation theory for the
       regular generalized eigenproblem ${A}x=$λ$
       {B}x$},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/18},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in
       Numerical Linear Algebra with Applications, vol. 5,
       nber 1, pp 1-10},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_18.ps.gz}
}

@TECHREPORT{grat:96b,
  AUTHOR = {S.~Gratton},
  TITLE = {Conditionnement en {O}ptimisation. {E}tude
       bibliographique},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {FR/PA/96/36},
  TYPE = {{C}ontract {R}eport}
}

@TECHREPORT{hamm:96a,
  AUTHOR = {B.~Hamma},
  TITLE = {Parallel Optimization of Interplanetary
       Trajectories},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/45},
  NOTE = {Preliminary version of proceeding in {A}pplied
       {P}arallel {C}omputing in {I}ndustrial {P}roblems
       and {O}ptimization, 1996},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_45.ps.gz}
}

@TECHREPORT{havt:96,
  AUTHOR = {B.~Hamma and S.~Viitanen and A.~Torn},
  TITLE = {Parallel Continuous Simulated Annealing for Global
       Optimization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/44},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1996/TR_PA_96_44.ps.gz}
}

@TECHREPORT{vaal:96,
  AUTHOR = {P.~B.~Vasconcelos and F.~D.~D'Almeida},
  TITLE = {Preconditioning Iterative Methods in Coupled
       Discretization of Fluid Flow Problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1996},
  NUMBER = {TR/PA/96/04},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{algoreport:97,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 1997},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/98/06},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_06.ps.gz}
}

@TECHREPORT{albg:97a,
  AUTHOR = {G.~All{é}on and M.~Benzi and L.~Giraud},
  TITLE = {Sparse Approximate Inverse Preconditioning for Dense
       Linear Systems Arising in Computational
       Electromagnetics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/05},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of article in {N}umerical
       {A}lgorithms, vol.~16, pp 1-15, 1997},
  KEYWORDS = {Dense linear systems, preconditioning, sparse approximate 
               inverses, complex symmetric matrices, scattering calculations, 
               {K}rylov subspace methods, parallel computing.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_05.ps.gz}
}

@TECHREPORT{algo:97,
  AUTHOR = {{T}he {P}arallel {A}lgorithms {P}roject},
  TITLE = {Activity Report of the Parallel Algorithms Project,
       January 1995 - December 1996},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/03},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_03.ps.gz}
}

@TECHREPORT{beba:97,
  AUTHOR = {L.~H.~Bezerra and F.~S.~V.~Bazán},
  TITLE = {Eigenvalue Locations of Generalized Companion
       Predictor Matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/01},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in
       SIMAX, vol. 19, nber 4, pp 886-897},
  KEYWORDS = {companion matrices, eigenvalues, linear prediction, exponential
               approximation, signal processing.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_01.ps.gz}
}

@TECHREPORT{becs:97a,
  AUTHOR = {M.~Benzi and H.~Choi and D.~B.~Szyld},
  TITLE = {Threshold Ordering for Preconditioning Nonsymmetric
       Problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/02},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of proceeding in {P}roceedings
       of the {W}orkshop on {S}cientific {C}omputing,
       {H}ong {K}ong '97, 1997},
  KEYWORDS = {Linear {S}ystems, {N}onsymmetric {M}atrices, {O}rderings of {S}parse 
               {M}atrices, {P}reconditioning, {K}rylov {S}ubspace {M}ethods, 
               {I}ncomplete {F}actorizations.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_02.ps.gz}
}

@TECHREPORT{begi:97,
  AUTHOR = {M.~Benzi and L.~Giraud},
  TITLE = {Acquisition d'une méthode pour la résolution des
       systèmes linéaires issus des problèmes
       d'électromagnétisme},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {FR/PA/97/04},
  TYPE = {Final {C}ontract {R}eport}
}

@TECHREPORT{betu:97,
  AUTHOR = {M.~Benzi and M.~Tuma},
  TITLE = {Numerical Experiments with Two Approximate Inverse
       Preconditioners},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/11},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in BIT,
       vol. 38, pp 15-41},
  KEYWORDS = {Sparse {L}inear {S}ystems, {I}terative {M}ethods, {P}arallel 
              {P}reconditioning, {SPAI}, {I}ncomplete {B}iconjugation.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_11.ps.gz}
}

@TECHREPORT{bghj:97a,
  AUTHOR = {S.~Baldini and L.~Giraud and L.~Hamel and
       J.~M.~Jimenez and L.~M.~Matey},
  TITLE = {{HIPERCOMBATS}~: a Parallel Industrial Tool for
       Two-Wheeler Suspensions Design},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/08},
  NOTE = {Preliminary version of proceeding in {H}igh
       {P}erformance {C}omputing and {N}etworking, 1997}
}

@TECHREPORT{bgjm:97,
  AUTHOR = {S.~Baldini and L.~Giraud and J.~M.~Jimenez and
       L.~M.~Matey and J.~G.~Izaguirre},
  TITLE = {High Performance Computing in Multi-Body System
       Design},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/27},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_27.ps.gz}
}

@TECHREPORT{bra:97,
  AUTHOR = {T.~Braconnier},
  TITLE = {Complete Iterative Method for Computing
       Pseudospectra},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/13},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Pseudospectra, {S}ingular {V}alues.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_13.ps.gz}
}

@TECHREPORT{brfr:97,
  AUTHOR = {T.~Braconnier and V.~Frayss{é} and J.-C.~Rioual},
  TITLE = {{ARNCHEB} Users' Guide~: Solution of Large Non
       Symmetric or Non Hermitian Eigenvalue Problems by
       The {A}rnoldi-{T}chebycheff Method},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/50},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {eigenvalues, sparse matrices, {K}rylov spaces, {A}rnoldi method, 
               {T}chebycheff acceleration.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_50.ps.gz}
}

@TECHREPORT{brmt:97,
  AUTHOR = {T.~Braconnier and R.~A.~McCoy and V.~Toumazou},
  TITLE = {Using the Field of Values for Pseudospectra
       Generation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/28},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Field of values, pseudospectra, {G}ershgörin disks.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_28.ps.gz}
}

@TECHREPORT{cagi:97,
  AUTHOR = {L.~M.~Carvalho and L.~Giraud},
  TITLE = {Block diagonal preconditioners for the Schur
       complement method},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/46},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_46.ps.gz}
}

@TECHREPORT{chgr:97,
  AUTHOR = {F.~Chaitin-Chatelin and S.~Gratton},
  TITLE = {Etude de la non convergence de {G}auss-{N}ewton},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {IR/PA/97/14},
  TYPE = {Contract Report},
  KEYWORDS = {Moindres carrés non linéaires, variable de contrôle réelle à 
             une dimension, condition géométrique de convergence, itération
             chaotique de {G}auss-{N}ewton.}
}

@TECHREPORT{dadu:97b,
  AUTHOR = {T.~A.~Davis and I.~S.~Duff},
  TITLE = {A combined unifrontal/multifrontal method for
       unsymmetric sparse matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/34},
  TYPE = {Technical Report},
  NOTE = {Also appeared as {RAL} Report RAL-TR-97-046, and
       {CISE} University of Florida Report
       TR-97-016. Preliminary version of the article
       published in {ACM} {TOMS}, vol. 25, nber 1, pp 1-20},
  KEYWORDS = {sparse unsymmetric matrices, linear equations,
               multifrontal methods, frontal methods.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_34.ps.gz}
}

@TECHREPORT{dmrv:97,
  AUTHOR = {I.~S.~Duff and M.~E.~Marrone and G.~Radicati and
       C.~Vittoli},
  TITLE = {Level 3 {B}asic {L}inear {A}lgebra {S}ubprograms for
       sparse matrices: a user level interface},
  INSTITUTION = {RAL},
  YEAR = {1997},
  NUMBER = {TR/PA/97/00},
  NOTE = {Preliminary version of the article published in {ACM} {TOMS}, vol. 23, nber 3, pp 379--401, 1997}
}

@TECHREPORT{dugl:97,
  AUTHOR = {I.~S.~Duff and R.~G.~Grimes and J.~G.~Lewis},
  TITLE = {The {R}utherford-{B}oeing {S}parse {M}atrix
       {C}ollection},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/36},
  NOTE = {Also Technical Report RAL-TR-97-031 from Rutherford
       Appleton Laboratory and Technical Report
       ISSTECH-97-017 from Boeing Information \& Support
       Services},
  KEYWORDS = {sparse matrices, test matrices, sparse linear equations,
               sparse eigenvalue problems.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_36.ps.gz}
}

@TECHREPORT{duko:97,
  AUTHOR = {I.~S.~Duff and J.~Koster},
  TITLE = {The design and use of algorithms for permuting large
       entries to the diagonal of sparse matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/45},
  NOTE = {Also appeared as Report RAL-TR-97-059, Rutherford
       Appleton Laboratories, Oxfordshire. Preliminary
       version of the article published in SIMAX, vol. 20,
       nber 4, pp 889-901},
  KEYWORDS = {Sparse matrices, maximum transversal, direct methods, iterative
               methods, preconditioning.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_45.ps.gz}
}

@TECHREPORT{frgg:97,
  AUTHOR = {V.~Frayssé and L.~Giraud and S.~Gratton},
  TITLE = {A Set of {GMRES} Routines for Real and Complex
       Arithmetics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/49},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {linear systems, {K}rylov methods, {GMRES}, reverse communication,
               distributed memory.},
  PS = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_49.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_49.pdf}
}

@TECHREPORT{frgi:97,
  AUTHOR = {V.~Frayssé and L.~Giraud},
  TITLE = {An implementation of block {QMR} for {J}-symmetric
       matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {FR/PA/97/57},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{gils:97,
  AUTHOR = {L.~Giraud and D.~Lugato and F.~Saab},
  TITLE = {Parallel Distributed Fast 3{D} {P}oisson},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/58},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Parallel distributed computing, {F}ast {P}oisson {S}olver.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_58.ps.gz}
}

@TECHREPORT{hamm:97,
  AUTHOR = {B.~Hamma},
  TITLE = {Local and Global Behavior of Moving Polytope
       Algorithms},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/39},
  NOTE = {submitted to "From Local to Global Optimization"
       Edited Book in Honor of 70th birthday of Professor
       Hoang TUY},
  KEYWORDS = {Direct {S}earch {M}ethods, {N}umerical {O}ptimization, {P}arallel
               {C}omputing, {I}mprovement of {L}ocal {M}inimum.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_39.ps.gz}
}

@TECHREPORT{harr:97,
  AUTHOR = {A.~Harrabi},
  TITLE = {Pseudospectre d'une Suite d'Operateurs Bornés},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/48},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {pseudospectre, spectre d'une suite d'opérateurs bornés, 
               convergence uniforme, convergence collectivement compacte.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_48.ps.gz}
}

@TECHREPORT{khaa:97,
  AUTHOR = {H.~{Kharraz-Aroussi}},
  TITLE = {Parall{é}lisation de {GMRES} avec {PVM}. Une
       application en astrophysique},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/30},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Linear systems, iterative methods, {GMRES}, parallelism, 
           distributed memory machine, {PVM}.}
}

@TECHREPORT{lund:97,
  AUTHOR = {L.~K.~Lundin},
  TITLE = {How to Compute the Velocity of a Rotating Flow},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/09},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Cauchy-{R}iemann equations, overdetermined linear systems of 
             equations, conjugate gradients, least squares, parallel computers.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_09.ps.gz}
}

@TECHREPORT{mcto:97,
  AUTHOR = {R.~A.~McCoy and V.~Toumazou},
  TITLE = {{PRECISE} {U}ser's {G}uide - {V}ersion 1.0},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/38},
  KEYWORDS = {finite precision, backward error analysis, stability,
               pseudospectra.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_38.ps.gz}
}

@TECHREPORT{wibe:97,
  AUTHOR = {P.~Wiberg},
  TITLE = {A Study of the {HR} and Extended {HR} Methods for
       the Standard Eigenvalue Problem},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {TR/PA/97/33},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Eigenproblem, direct method.},
  URL = {http://www.cerfacs.fr/algor/reports/1997/TR_PA_97_33.ps.gz}
}

@TECHREPORT{algoreport:98,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 1998},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/99/16},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_16.ps.gz}
}

@TECHREPORT{adep:98b,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and J.-Y.~L'Excellent
       and P.~Plechác},
  TITLE = {{PARASOL}- An integrated programming environment for
       parallel sparse matrix solvers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/13},
  NOTE = {Preliminary version of proceeding in {M}anchester
       {HPCI} {P}roceedings, 1998},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_13.ps.gz}
}

@TECHREPORT{amde:98a,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and J.-Y.~L'Excellent},
  TITLE = {{MUMPS} {M}Ultifrontal {M}assively {P}arallel
       {S}olver Version 2.0},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/02},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Multifrontal, sparse solver, distributed memory parallelism,
               {MPI}, {BLAS}, {BLACS}, {ScaLAPACK}, {PARASOL}.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_02.ps.gz}
}

@TECHREPORT{amde:98b,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and J.-Y.~L'Excellent},
  TITLE = {{Multifrontal Parallel Distributed Symmetric and
       Unsymmetric Solvers}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/22},
  NOTE = {Preliminary version of the article published in
       Comput. Methods in Appl. Mech. Eng, vol. 184, pp
       501-520},
  KEYWORDS = {{MPI}, distributed memory architecture, sparse
               matrices, multifrontal direct methods.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_22.ps.gz}
}

@TECHREPORT{amma:98,
  AUTHOR = {P.~Amodio and F.~Mazzia},
  TITLE = {A new approach to the backward error analysis in the
       {LU} factorization algorithm},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/09},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Gaussian elimination, stability, backward error analysis,
               growth factor.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_09.ps.gz}
}

@TECHREPORT{betm:98,
  AUTHOR = {L.~H.~Bezerra and C.~Tomei and R.~A.~Mc{C}oy},
  TITLE = {Möbius Transforms and Solvers for Large Sparse
       Generalized Nonsymmetric Eigenvalue Problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/03},
  NOTE = {Submitted to BIT},
  KEYWORDS = {Generalized eigenvalues, sparse matrices, Mobius transforms.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_03.ps.gz}
}

@TECHREPORT{cagl:98,
  AUTHOR = {L.~M.~Carvalho and L.~Giraud and P.~Le Tallec},
  TITLE = {Algebraic two-level preconditioners for the {S}chur
       complement method},
  INSTITUTION = {CERFACS},
  YEAR = {1998},
  ADDRESS = {France},
  NUMBER = {TR/PA/98/18},
  TYPE = {{T}ech. {R}ep.},
  NOTE = {Preliminary version of the paper published in SIAM
       SISC, vol. 22, nbr 6, pp 1987-2005, 2001},
  KEYWORDS = {Domain decomposition, two-level preconditioning,
               {S}chur complement, parallel distributed computing,
               elliptic partial differential equations.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_18.ps.gz}
}

@TECHREPORT{chdf:99,
  AUTHOR = {F.~Chaitin-Chatelin and S.~Dallakyan and
       V.~Frayssé},
  TITLE = {{On the GPS Carrier Phase Ambiguity Resolution. The
       LAMBDA method: an analysis of speed, efficiency and
       numerical robustness}},
  INSTITUTION = {CERFACS},
  YEAR = {1999},
  NUMBER = {IR/PA/99/23},
  TYPE = {Contract Report}
}

@TECHREPORT{chfg:97,
  AUTHOR = {F.~Chaitin-Chatelin and V.~Frayss{é} and
       S.~Gratton},
  TITLE = {Fiabilit{é} des calculs en pr{é}cision finie~:
       principes et mise en {\oe}uvre},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1997},
  NUMBER = {FR/PA/97/55},
  TYPE = {{C}ontract {R}eport}
}

@TECHREPORT{chfg:98,
  AUTHOR = {F.~Chaitin-Chatelin and V.~Frayssé and S.~Gratton},
  TITLE = {Traitement d'ambiguït{é}s enti{è}res~:
       Rapport intermédiaire},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {IR/PA/98/54},
  TYPE = {Contract Report},
  KEYWORDS = {integer quadratic problem, {GPS}, integer ambiguities.}
}

@TECHREPORT{chgr:98a,
  AUTHOR = {F.~Chaitin-Chatelin and S.~Gratton},
  TITLE = {On the condition number associated with the polar
       factorization of a rectangular matrix},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/25},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in
       Numerical Linear Algebra with Applications, vol. 7,
       pp 337--354},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_25.ps.gz}
}

@TECHREPORT{chgr:98b,
  AUTHOR = {F.~Chaitin-Chatelin and S.~Gratton},
  TITLE = {About the distance to singularity for polynomials in
       one variable},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/26},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_26.ps.gz}
}

@TECHREPORT{chgr:98c,
  AUTHOR = {F.~Chaitin-Chatelin and S.~Gratton},
  TITLE = {A note on the convergence of {G}auss-{N}ewton
       algorithm},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/27},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_27.ps.gz}
}

@TECHREPORT{chha:98,
  AUTHOR = {F.~Chaitin-Chatelin and A.~Harrabi},
  TITLE = {About Definitions of Pseudospectra of Closed
       Operators in {B}anach Spaces},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/08},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Pseudospectra, {C}losed {L}inear {O}perator, 
               {B}anach and {H}ilbert space.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_08.ps.gz}
}

@TECHREPORT{dai:98a,
  AUTHOR = {H.~Dai},
  TITLE = {Two Algorithms for Symmetric Linear Systems with
       Multiple Right-Hand Sides},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/17},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {symmetric linear systems, multiple right-hand sides,
               block {L}anczos algorithm, block {MINRES} method.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_17.ps.gz}
}

@TECHREPORT{dai:98b,
  AUTHOR = {H.~Dai},
  TITLE = {A numerical method for solving inverse eigenvalue
       problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/33},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Accepted for electronic publication in Mathematical
       Modelling and Numerical Analysis},
  KEYWORDS = {inverse eigenvalue problems, {QR}-like decomposition,
               least squares, {G}auss-{N}ewton method.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_33.ps.gz}
}

@TECHREPORT{dai:98c,
  AUTHOR = {H.~Dai},
  TITLE = {Some developments on parameterized inverse
       eigenvalue problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/34},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {eigenvalue problems, inverse problems, nonlinear equations,
               iterative methods.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_34.ps.gz}
}

@TECHREPORT{dai:98d,
  AUTHOR = {H.~Dai},
  TITLE = {Block bidiagonalization methods for solving
       nonsymmetric linear systems with multiple right-hand
       sides},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/35},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {nonsymmetric systems, multiple right-hand sides, block
               iterative methods.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_35.ps.gz}
}

@TECHREPORT{duff:98,
  AUTHOR = {I.~S.~Duff},
  TITLE = {Direct Methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/28},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {sparse matrices, direct methods, indirect addressing,
               fill-in, cliques, graph theory, frontal methods, 
               multifrontal methods, parallel computers, software.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_28.ps.gz}
}

@TECHREPORT{duvd:98,
  AUTHOR = {I.~S.~Duff and H.~A.~{van der Vorst}},
  TITLE = {Preconditioning and Parallel Preconditioning},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/23},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {preconditioning, parallel computers,sparse matrices, 
               incomplete factorization, sparse approximate inverses,
               block methods, element by element preconditioning.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_23.ps.gz}
}

@TECHREPORT{frgg:98,
  AUTHOR = {V.~Frayssé and L.~Giraud and S.~Gratton},
  TITLE = {A Set of {F}lexible-{GMRES} Routines for Real and
       Complex Arithmetics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/20},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Linear systems, {K}rylov Methods, {GMRES}, {FGMRES},
               reverse communication, distributed memory.},
  PS = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_20.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_20.pdf}
}

@TECHREPORT{frgi:98,
  AUTHOR = {V.~Frayssé and L.~Giraud},
  TITLE = {Comparative study of {QMR} versus block {QMR} for
       {J}-symmetric matrices in electromagnetism
       applications},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/11},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{frgk:98b,
  AUTHOR = {V.~Frayssé and L.~Giraud and H.~{Kharraz-Aroussi}},
  TITLE = {On the influence of the orthogonalization scheme on
       the parallel performance of {GMRES}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/07},
  NOTE = {Preliminary version of proceeding of EUROPAR'98
       Parallel Processing},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_07.ps.gz}
}

@TECHREPORT{grft:98,
  AUTHOR = {S.~Gratton and V.~Frayssé and V.~Toumazou},
  TITLE = {On a structured backward error analysis for linear
       systems of the type ${A^*A} x = b$},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/01},
  NOTE = {Preliminary version of the article published in BIT,
                vol. 40, nber 1, pp 74-83},
  KEYWORDS = {structured perturbations,  condition number,
               backward error, linear systems.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_01.ps.gz}
}

@TECHREPORT{harr:98a,
  AUTHOR = {A.~Harrabi},
  TITLE = {Défaut de Normalité},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/36},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {défaut de normalité, conditionnement {H}ölderien, spectre, 
               pseudospectre, resolvante.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_36.ps.gz}
}

@TECHREPORT{harr:98b,
  AUTHOR = {A.~Harrabi},
  TITLE = {On the Approximation of Pseudospectra of Nonnormal
       Operators by Discretization, Part {I}: the First
       Derivative Operator},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/37},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {pseudospectra, first derivative operator, {G}alerkin
               approximation, collocation approximation, finite-difference
               method.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_37.ps.gz}
}

@TECHREPORT{harr:98e,
  AUTHOR = {A.~Harrabi},
  TITLE = {On the Approximation of Pseudospectra of Nonnormal
       Operators by Discretization, Part {II}: the
       Convection-Diffusion Operator},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/38},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {pseudospectra, convection-diffusion operator, {G}alerkin
               approximation, collocation approximation, finite-difference method.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_38.ps.gz}
}

@TECHREPORT{mamc:98a,
  AUTHOR = {F.~Mazzia and R.~A.~McCoy},
  TITLE = {Numerical Experiments with a shifted {SSOR}
       preconditioner for symmetric matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/12},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_12.ps.gz}
}

@TECHREPORT{mazz:98,
  AUTHOR = {F.~Mazzia},
  TITLE = {Loss of biorthogonality and linear system solvers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/10},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Linear system of equations, sparse matrix, {L}anczos algorithm,
                biorthogonalization algorithm, quasi-minimal residual method.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_10.ps.gz}
}

@TECHREPORT{nosz:98,
  AUTHOR = {J.~Nocedal and A.~Sartenaer and C.~Zhu},
  TITLE = {On the Accuracy of Nonlinear Optimization
       Algorithms},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/52},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {nonlinear optimization, unconstrained optimization, {N}ewton's
               method, quasi-{N}ewton method, limited memory method, steepest
               descent method.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_52.ps.gz}
}

@TECHREPORT{raho:98a,
  AUTHOR = {J.~Rahola},
  TITLE = {On the Eigenvalue of the Volume Integral Operator of
       Electromagnetic Scattering},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/19},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Electromagnetic scattering, eigenvalues of matrices,
               spectrum of linear operators, iterative methods,
               integral equations.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_19.ps.gz}
}

@TECHREPORT{raho:98b,
  AUTHOR = {J.~Rahola},
  TITLE = {Experiments on iterative methods and the fast
       multipole method in electromagnetic scattering
       calculations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/49},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Electromagnetic scattering, iterative methods,
               integral equations, fast multipole methods.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_49.ps.gz}
}

@TECHREPORT{rati:98,
  AUTHOR = {J.~Rahola and S.~Tissari},
  TITLE = {Iterative solution of dense linear systems arising
       from boundary element formulations of the
       biomagnetic inverse problem},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/40},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Integral equations, magnetoencephalography, electroencephalography,
               boundary element method, iterative methods, eigenvalues, preconditioners.},
  NOTE = {Preliminary version of the article "Iterative solution of dense linear systems arising from the electrostatic integral equation in MEG" published in Physics in Medicine and Biology, Vol 47, Issue 6 pages 961 - 975, 2002.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_40.ps.gz}
}

@TECHREPORT{tira:98,
  AUTHOR = {S.~Tissari and J.~Rahola},
  TITLE = {Error Analysis of a New {G}alerkin Method to Solve
       the Forward Problem in {MEG} and {EEG} Using the
       Boundary Element Method},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1998},
  NUMBER = {TR/PA/98/39},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {{MEG}, {EEG}, {BEM}, forward problem, collocation method, {G}alerkin
               method, constant basis functions, linear basis functions.},
  NOTE = {Preliminary version of the article "Error analysis of a Galerkin method to solve the forward problem in MEG
using the boundary element method" published in Computer Methods and Programs in Biomedicine, Vol. 72, pages 209-222, 2003.},
  URL = {http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_39.ps.gz}
}

@TECHREPORT{algoreport:99a,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 1999 (without images)},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/00/0a},
  PS = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_0a.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_0a.pdf}
}

@TECHREPORT{algoreport:99b,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 1999 (with images)},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/00/0b},
  PS = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_0b.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_0b.pdf}
}

@TECHREPORT{adek:99,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and J.-Y.~L'Excellent
       and J.~Koster},
  TITLE = {A fully asynchronous multifrontal solver using
       distributed dynamic scheduling},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/28},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in
       SIMAX, vol. 23, nber 1, pp 15-41, 2001},
  KEYWORDS = {MPI, distributed memory architecture, sparse matrices, 
               multifrontal direct methods.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_28.ps.gz}
}

@TECHREPORT{bcfi:99,
  AUTHOR = {A.~Bouras and F.~Chaitin-Chatelin and V.~Frayssé
       and A.~Ilahi},
  TITLE = {Nouvelles analyses de la méthode de la
       puissance. Partie 1 : Etude asymptotique
       générale},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/35},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Eigenvalue, eigenvector, power method convergence, 
               multiple eigenvalue.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_35.ps.gz}
}

@TECHREPORT{cadg:99a,
  AUTHOR = {B.~Carpentieri and I.~S.~Duff and L.~Giraud},
  TITLE = {Experiments with sparse preconditioning of dense
       problems from electromagnetic applications.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/04},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Krylov subspaces methods, preconditioning techniques, 
               sparse approximate inverse, electromagnetic scattering, boundary element method.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_04.ps.gz}
}

@TECHREPORT{cadg:99b,
  AUTHOR = {B.~Carpentieri and I.~S.~Duff and L.~Giraud},
  TITLE = {Sparse pattern selection strategies for robust
       {F}robenius-norm minimization preconditioners in
       electromagnetism},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/05},
  TYPE = {{Technical Report}},
  NOTE = {Also {T}echnical {R}eport {RAL-TR-2000-009}. Preliminary version of the article published in
       {N}umerical {L}inear {A}lgebra with {A}pplications, vol. 7,
       nber 7-8, pp 667-685},
  KEYWORDS = {Preconditioning techniques, {F}robenius-norm minimization method, 
                nonzero pattern selection strategies, electromagnetic scattering applications.},
  PS = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_05.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_05.pdf}
}

@TECHREPORT{cagi:99,
  AUTHOR = {L.~M.~Carvalho and L.~Giraud},
  TITLE = {Parallel subdomain-based preconditioner for the
       {S}chur complement},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/04},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the proceedings {EUROPAR'99
       Parallel Processing}, 1999},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_04.ps.gz}
}

@TECHREPORT{cagm:99,
  AUTHOR = {L.~M.~Carvalho and L.~Giraud and G.~Meurant},
  TITLE = {Local preconditioners for two-level non-overlapping
       domain decomposition methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/38},
  TYPE = {{T}ech. {R}ep.},
  NOTE = {Preliminary version of the article published in
       Numerical Linear Algebra with Applications, vol. 8,
       nber 4, pp 207-227, 2001},
  KEYWORDS = {Domain decomposition, two-level preconditioning, 
               {S}chur complement, parallel distributed computing,
               elliptic partial differential equations, parabolic partial
               differential equations.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_38.ps.gz}
}

@TECHREPORT{cgot:99,
  AUTHOR = {A.~R.~Conn and N.~I.~M.~Gould and D.~Orban and
       Ph.~L.~Toint},
  TITLE = {{A Primal-Dual Trust-Region Algorithm for Non-Convex
       Nonlinear Programming}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/27},
  TYPE = {{T}echnical {R}eport},
  NOTE = {{Published in Mathematical Programming "Davidon
       Festschrift" Online First, DOI
       10.1007/s101070000144, March 15, 2000.}},
  KEYWORDS = {Nonlinear constrained programming,interior point methods,
               primal-dual methods, trust regions, logarithmic barrier.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_27.ps.gz}
}

@TECHREPORT{chai:99,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {{L}e {S}ens de la {V}ie},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/20},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Calcul, fiabilite du calcul, mecanisme du calcul, information, 
               complexite, harmonie, temps, espace, symbole, sens, synthese, 
               calcul qualitatif, exact, asymptotique, a precision finie, 
               evolution lineaire, evolution cyclique, horloges biologiques.},
  PS = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_20.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_20.pdf}
}

@TECHREPORT{chai:99a,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {{T}he computing power of {G}eometry},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/24},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in {D}.{F}. {G}riffiths et al. (eds), Proceedings of {N}umerical {A}nalysis 1999,  
               pp 83-92, {CRC} {P}ress {LLC}, 1999},
  KEYWORDS = {Real numbers, complex numbers, quaternions, octonions, 
               {N}ature's computation, powers of hypercomplex numbers.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_24.ps.gz}
}

@TECHREPORT{chdf:99b,
  AUTHOR = {F.~Chaitin-Chatelin and S.~Dallakyan and
       V.~Frayssé},
  TITLE = {{An overview of Carrier Phase Differential GPS}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {IR/PA/99/50},
  TYPE = {Contract Report},
  KEYWORDS = {GPS, integer ambiguities.}
}

@TECHREPORT{chhi:99,
  AUTHOR = {F.~Chaitin-Chatelin and A.~Harrabi and A.~Ilahi},
  TITLE = {About {H}ölder Condition Numbers and the
       Stratification diagram for Defective Eigenvalues},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/19},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the proceedings Mathematics
       and Computers in Simulation, vol. 54, pp 397-402},
  KEYWORDS = {multiple defective eigenvalue, index, {H}ölder condition number, 
               {F}rechet and {G}ateaux derivatives, exact arithmetic, finite precision 
               arithmetic, stratification associated with the commutator {AX-XA}.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_19.ps.gz}
}

@TECHREPORT{chtt:99,
  AUTHOR = {F.~Chaitin-Chatelin and V.~Toumazou and
       E.~Traviesas},
  TITLE = {Accuracy assessment for eigencomputations~: variety
       of backward errors and pseudospectra},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/03},
  NOTE = {Preliminary version of the article published in 
                Linear Algebra with its Applications, vol 309, p. 73-83},
  KEYWORDS = {Stability analysis, eigencomputations, backward error, normwise perturbation, 
                homotopic perturbation, pseudospectrum.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_03.ps.gz}
}

@TECHREPORT{daag:99,
  AUTHOR = {S.~K.~Dallakyan and N.~S.~Ananikian and
       R.~G.~Ghulghazaryan},
  TITLE = {Thermodynamic chaos and infinitely many critical
       exponents in the Baxter-Wu model},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/06},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Submitted for publication to Physica D,
       cond-mat/9909289},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_06.ps.gz}
}

@TECHREPORT{dall:99,
  AUTHOR = {S.~Dallakyan},
  TITLE = {A note on the visualization of multiparametric
       bifurcations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/07},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in Computers & Graphics,
       vol. 24, nber 2, pp 269-270, 2000},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_07.ps.gz}
}

@TECHREPORT{duff:99a,
  AUTHOR = {I.~S.~Duff},
  TITLE = {A brief bibliography of recent research and software
       for the parallel solution of large sparse linear
       equations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/12},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of proceedings of the
       Computational Cattle Breeding '99 Workshop},
  KEYWORDS = {Sparse linear systems, sparse least squares, sparse normal
               equations, mixed model equations, {BLUP}, cattle breeding, iterative methods,
               direct methods, preconditioning, block iterative methods.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_12.ps.gz}
}

@TECHREPORT{duvd:99,
  AUTHOR = {I.~S.~Duff and H.~A.~van der Vorst},
  TITLE = {Developments and trends in the parallel solution in
       linear systems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/10},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {linear systems, dense matrices, sparse matrices, tridiagonal systems,
               parallelism, direct methods, iterative methods, {K}rylov methods, 
               preconditionning.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_10.ps.gz}
}

@TECHREPORT{grft:99,
  AUTHOR = {S.~Gratton and V.~Frayssé and V.~Toumazou},
  TITLE = {Structured backward error and condition number for
       linear systems of the type ${A^*A x = b}$},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/05},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the article published in BIT,
       vol. 40, nber 1, pp 74-83},
  KEYWORDS = {structured perturbations, condition number, backward 
               error, linear systems.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_05.ps.gz}
}

@TECHREPORT{totr:99,
  AUTHOR = {V.~Toumazou and E.~Traviesas},
  TITLE = {A note on homotopic backward error and pseudospectra
       for the generalized eigenproblem},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/14},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Generalized eigenproblem, normwise and homotopic perturbations, 
               backward error and pseudospectra.},
  URL = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_14.ps.gz}
}

@TECHREPORT{wror:99,
  AUTHOR = {S.~J.~Wright and D.~Orban},
  TITLE = {Properties of the Log-Barrier Function on Degenerate
       Nonlinear Programs},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {1999},
  NUMBER = {TR/PA/99/36},
  TYPE = {{Technical Report}},
  NOTE = {Preliminary version of the article published in {M}athematics of
               {O}perations {R}esearch, vol. 27, nber 3, pp 585-613, 2002},
  KEYWORDS = {Barrier function, nonlinear programming, {M}angasarian-
               {F}romovitz condition, degenerate problems.},
  PS = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_36.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/1999/TR_PA_99_36.pdf}
}

@TECHREPORT{algoreport:00,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 2000},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/01/23},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_23.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_23.pdf}
}

@TECHREPORT{adel:00,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and J.-Y.~L'Excellent
       and X.~S.~Li},
  TITLE = {Analysis, Tuning and Comparison of Two General
       Sparse Solvers for Distributed Memory Computers},
  INSTITUTION = {CERFACS},
  YEAR = {2000},
  NUMBER = {TR/PA/00/72},
  TYPE = {{Technical Report}},
  NOTE = {Preliminary version of the article published in {\it {ACM} {T}rans. {M}ath. {S}oftw.}, vol. 27, pp 338-421},
  KEYWORDS = {Sparse linear systems, distributed memory codes, multifrontal, 
                supernodal, direct methods, comparison of codes.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_72.ps.gz}
}

@TECHREPORT{adel:00b,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and J.-Y.~L'Excellent
       and X.~S.~Li},
  TITLE = {Analysis and Comparison of Two General Sparse
       Solvers for Distributed Memory Computers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  MONTH = {December},
  NUMBER = {TR/PA/00/90},
  NOTE = {Preliminary version of the article published in
            {\it ACM Trans. Math. Softw.}, (2001), {\bf 27}-4, pp. 1-33},
  KEYWORDS = {sparse linear systems, distributed memory codes, multifrontal, 
                supernodal, direct methods, comparison of codes.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_90.ps.gz}
}

@TECHREPORT{adel:00c,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and J.-Y.~L'Excellent
       and X.~S.~Li},
  TITLE = {Performance and tuning of two distributed memory
       sparse solvers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  MONTH = {December},
  NUMBER = {TR/PA/00/91},
  NOTE = {Accepted for presentation at the Tenth SIAM
       Conference on Parallel Processing for Scientific
       Computing that will be held in Norfolk, Virginia
       from March 12th-14th, 2001},
  KEYWORDS = {sparse linear systems, distributed memory codes, multifrontal, 
                supernodal, direct methods, comparison of codes.},
  PS = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_91.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_91.pdf}
}

@TECHREPORT{bocf:00,
  AUTHOR = {A.~Bouras and F.~Chaitin-Chatelin and V.~Frayss{é}},
  TITLE = {{Solveurs itératifs imbriqués}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {FR/PA/00/19},
  TYPE = {{C}ontract {R}eport},
  KEYWORDS = {inner-outer iterations, {K}rylov methods, linear systems, 
               eigenproblems, domain decomposition methods, inexact methods.}
}

@TECHREPORT{bofg:00,
  AUTHOR = {A.~Bouras and V.~Frayssé and L.~Giraud},
  TITLE = {A relaxation strategy for inner-outer linear solvers
       in domain decomposition methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/17},
  TYPE = {{Technical Report}},
  KEYWORDS = {domain decomposition linear systems, iterative methods, 
               inner-outer iterations.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_17.ps.gz}
}

@TECHREPORT{bofr:00a,
  AUTHOR = {A.~Bouras and V.~Frayssé},
  TITLE = {A relaxation strategy for inexact matrix-vector
       products for {K}rylov methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/15},
  TYPE = {{Technical Report}},
  NOTE = {{Submitted to SIAM Journal in Matrix Analysis and
       Applications}},
  KEYWORDS = {linear systems, iterative methods, {K}rylov methods, 
               inner-outer iterations.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_15.ps.gz}
}

@TECHREPORT{bofr:00b,
  AUTHOR = {A.~Bouras and V.~Frayssé},
  TITLE = {A relaxation strategy for the {A}rnoldi method in
       eigenproblems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/16},
  TYPE = {{Technical Report}},
  KEYWORDS = {eigenvalue, iterative method, {K}rylov methods, inner-outer iterations.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_16.ps.gz}
}

@TECHREPORT{cha:00a,
  AUTHOR = {F.~{Chaitin-Chatelin}},
  TITLE = {Comprendre les méthodes de {K}rylov en précision
       finie~: le programme du {G}roupe {Q}ualitative
       {C}omputing au {CERFACS}},
  INSTITUTION = {CERFACS},
  YEAR = {2000},
  NUMBER = {TR/PA/00/11},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Algorithme d'{A}rnoldi de base, calcul inexact, perturbations
               homotopiques, solveurs emboités, arrêt heureux, erreur inverse,
               erreur de méthode.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_11.ps.gz}
}

@TECHREPORT{chdf:00,
  AUTHOR = {F.~Chaitin-Chatelin and S.~Dallakyan and
       V.~Frayssé},
  TITLE = {{GPS} {C}arrier {P}hase {A}mbiguity {R}esolution
       with the {LAMBDA} method:~1. A stability analysis
       2. An exponential speed-up},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {CR/PA/00/52},
  TYPE = {Contract Report},
  KEYWORDS = {{GPS}, integer ambiguities, {LAMBDA} method.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/CR_PA_00_52.ps.gz}
}

@TECHREPORT{chmz:00a,
  AUTHOR = {F.~Chaitin-Chatelin and T.~Me\v skauskas and
       A.~N.~Zaoui},
  TITLE = {Computation with Hypercomplex Numbers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/69},
  TYPE = {{Technical Report}},
  NOTE = {Preliminary version of the article published in the Proceedings of 3rd World Congress
       	    of $Nonlinear Analysis$, vol. 47, pp. 3391-3400, 2001},
  KEYWORDS = {hypercomplex numbers, quaternions, octonions, division algebra,
                {N}ature's computation, logistic iteration, {M}andelbrot set.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_69.ps.gz}
}

@TECHREPORT{chmz:00b,
  AUTHOR = {F.~Chaitin-Chatelin and T.~Me\v skauskas and
       A.~N.~Zaoui},
  TITLE = {About real and binary algebras: the interplay
       between geometry and algebra},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/74},
  TYPE = {{Technical Report}},
  KEYWORDS = {hypercomplex numbers, hypercomplex algebras, quaternions, 
                octonions, division algebra, composition algebra, geometry, 
                four-color theorem.},
  PS = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_74.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_74.pdf}
}

@TECHREPORT{chtp:00,
  AUTHOR = {F.~{Chaitin-Chatelin} and E.~Traviesas and
       L.~Planti{é}},
  TITLE = {Understanding {K}rylov methods in finite precision},
  YEAR = {2000},
  NOTE = {Preliminary version of the article published in {L}. {V}ulkov et al. (eds), Proceedings of NAA 2000,  
               pp 187-197, {S}pringer {V}erlag {LNCS}, vol. 1988, 2000},
  PUBLISHER = {Springer Verlag},
  NUMBER = {TR/PA/00/40},
  KEYWORDS = {Eigenvalues, {K}rylov subspace, {A}rnoldi method, {H}appy {B}reackdown, 
               finite precision, backward error, homotopic perturbations.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_40.ps.gz}
}

@TECHREPORT{chtr:00,
  AUTHOR = {F.~{Chaitin-Chatelin} and E.~Traviesas},
  TITLE = {{PRECISE}, a toolbox for assessing the quality of
       numerical methods and software},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/12},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Proceedings of the 16th IMACS World
       Congress, Lausanne, Switzerland},
  KEYWORDS = {Recommender systems, backward-error analysis, condition,
               reliability, sensitivity analysis.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_12.ps.gz}
}

@TECHREPORT{duvo:00,
  AUTHOR = {I.~S.~Duff and C.~Vömel},
  TITLE = {{Level 2 and Level 3 Basic Linear Algebra
       Subprograms for Sparse Matrices: A Fortran 95
       instantiation}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/18},
  TYPE = {{Technical Report}},
  KEYWORDS = {unstructured sparse matrices, sparse data structures,
               programming standard, iterative linear solvers, {BLAS},
               {S}parse{BLAS}.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_18.ps.gz}
}

@TECHREPORT{duvo:00a,
  AUTHOR = {I.~S.~Duff and C.~Vömel},
  TITLE = {Incremental {N}orm {E}stimation for {D}ense and
       {S}parse {M}atrices},
  INSTITUTION = {CERFACS},
  YEAR = {2000},
  ADDRESS = {Toulouse, France},
  NUMBER = {TR/PA/00/83},
  KEYWORDS = {matrix norm, condition number, incremental estimators, 
               approximate singular vectors, sparse triangular matrices, 
               {QR} factorization, rank-revealing.},
  NOTE = {Preliminary version of the article published in BIT, Numerical Mathematics, Volume 42, Issue 2 (June 2002), pp. 300--322},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_83.ps.gz}
}

@TECHREPORT{duvoyo:00,
  AUTHOR = {I.~S.~Duff and C.~Vömel and M.~Youan},
  TITLE = {Implementing the {S}parse {BLAS} in {F}ortran 95},
  INSTITUTION = {CERFACS},
  YEAR = {2000},
  ADDRESS = {Toulouse, France},
  NUMBER = {TR/PA/00/82},
  KEYWORDS = {unstructured sparse matrices, sparse data structures, 
                programming standard, iterative linear solvers, 
                {BLAS}, {S}parse {BLAS}.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_82.ps.gz}
}

@TECHREPORT{frgi:00,
  AUTHOR = {V.~Frayssé and L.~Giraud},
  TITLE = {A Set of Conjugate Gradient Routines for Real and
       Complex Arithmetics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/47},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {linear systems, {K}rylov methods, {CG}, reverse communication, 
                distributed memory.},
  PS = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_47.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_47.pdf}
}

@TECHREPORT{gost:00,
  AUTHOR = {N.~I.~M.~Gould and D.~Orban and A.~Sartenaer and
       Ph.~L.~Toint},
  TITLE = {Superlinear convergence of primal-dual interior
       point algorithms for nonlinear programming},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/20},
  TYPE = {{Technical Report}},
  NOTE = {Preliminary version of the article published in
       {\it SIAM J. Optimization}, (2001), {\bf 11}-4, pp 974-1002},
  KEYWORDS = {primal-dual interior point method, componentwise {Q}-superlinear convergence.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_20.ps.gz}
}

@TECHREPORT{gost:00b,
  AUTHOR = {N.~I.~M.~Gould and D.~Orban and A.~Sartenaer and
       Ph.~L.~Toint},
  TITLE = {Componentwise fast convergence in the solution of
       full-rank systems of nonlinear equations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/56},
  TYPE = {{Technical Report}},
  NOTE = {Preliminary version of the article published in {\em Mathematical Programming Serie B}, vol. 92. nber 3, pp. 481-508, 2002},
  KEYWORDS = {nonlinear systems of equations, path-following methods, componentwise {Q}-superlinear convergence.},
  PS = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_56.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_56.pdf}
}

@TECHREPORT{gost:00c,
  AUTHOR = {N.~I.~M.~Gould and D.~Orban and A.~Sartenaer and
       Ph.~L.~Toint},
  TITLE = {{High Rates of Convergence of Primal-Dual Interior
       Point Algorithms for Nonlinear Programming}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/63},
  TYPE = {{Technical Report}},
  KEYWORDS = {primal-dual interior-point method, componentwise convergence.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_63.ps.gz}
}

@TECHREPORT{guev:00,
  AUTHOR = {F.~Guevara Vasquez},
  TITLE = {Internship report on Domain Decomposition Methods
       for the solution of Partial Differential Equations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/98},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{lebl:00,
  AUTHOR = {S.~Leblond},
  TITLE = {Two direct methods for large sparse problems:
       Multifrontal Massively Parallel Solver {(MUMPS)} and
       Fast Parallel Direct Solver for Coarse Grid Problems
       ({H. TUFO})},
  INSTITUTION = {CERFACS},
  YEAR = {2000},
  NUMBER = {WN/PA/00/105},
  TYPE = {{T}echnical {R}eport}
}

@TECHREPORT{mecb:00,
  AUTHOR = {T.~Me\v skauskas and P.~Caminal and A.~Bayes de
       Luna},
  TITLE = {Calculation of 1/ f noise indexes from
       electrocardiogram data in detection of cardiac
       illness},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/81},
  KEYWORDS = {Electrocardiogram ({ECG}), {ECG} processing, 1/ f noise, 
               spectral analysis, chaos theory.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_81.ps.gz}
}

@TECHREPORT{meiv:00,
  AUTHOR = {T.~Me\v skauskas and F.~Ivanauskas},
  TITLE = {Initial Boundary-Value Problems for Derivative
       Nonlinear Schrödinger Equation. Justification of
       Two-Step Algorithm},
  INSTITUTION = {CERFACS},
  YEAR = {2000},
  NUMBER = {TR/PA/00/70},
  TYPE = {{Technical Report}},
  KEYWORDS = {Derivative nonlinear {S}chrodinger equation, initial boundary-value problem, 
                {B}acklund transformations, {C}rank-{N}icolson finite difference scheme, 
                convergence and stability of difference schemes.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_70.ps.gz}
}

@TECHREPORT{plan:00,
  AUTHOR = {L.~Plantié},
  TITLE = {The boundary layer problem of triple deck type},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/61},
  TYPE = {{Technical Report}},
  NOTE = {Also in Proceedings of the Second Conference on
       Numerical Analysis and Applications, Rousse,
       Bulgaria, Springer Verlag, pp 675--683},
  KEYWORDS = {Boundary layer, triple deck, semi-discretization, existence, asymptotic behaviour.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_61.ps.gz}
}

@TECHREPORT{plan:00a,
  AUTHOR = {L.~Planti{é}},
  TITLE = {A semi-discrete problem for the boundary layer of
       triple deck type (Part 1)},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/45},
  TYPE = {{Technical Report}},
  KEYWORDS = {Boundary layer, triple deck, semi-discretization, existence, 
                asymptotic behaviour, uniqueness.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_45.ps.gz}
}

@TECHREPORT{plan:00b,
  AUTHOR = {L.~Planti{é}},
  TITLE = {A semi-discrete problem for the boundary layer of
       triple deck type (Part 2)},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/46},
  TYPE = {{Technical Report}},
  KEYWORDS = {Boundary layer, triple deck, semi-discretization, existence, 
                asymptotic behaviour, uniqueness.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_46.ps.gz}
}

@TECHREPORT{roso:00,
  AUTHOR = {M.~Rojas and D.~C.~Sorensen},
  TITLE = {A Trust-Region Approach to the Regularization of
       Large-Scale Discrete Ill-Posed Problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/57},
  TYPE = {{Technical Report}},
  NOTE = {Preliminary version of the article published in SIAM {J}ournal on {S}cientific {C}omputing, vol. 26, nber 3, pp 1843-1861, 2002},
  KEYWORDS = {regularization, constrained quadratic optimization,
                trust region, {L}anczos method, ill-posed problems, inverse
                problems, seismic inversion.},
  PS = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_57.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_57.pdf}
}

@TECHREPORT{trza:00,
  AUTHOR = {A.~N.~Zaoui and E.~Traviesas},
  TITLE = {The hybrid eigensolver {I}{S}{A} to compute the $r$
       eigenvalues closest to a given complex point : A
       qualitative study},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/13},
  NOTE = {16th IMACS World Congress, Lausanne, Switzerland},
  KEYWORDS = {Hybrid eigensolver, block {A}rnoldi method, {S}ubspace {I}terations method, spectral transformation, numerical quality.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_13.ps.gz}
}

@TECHREPORT{trza:00a,
  AUTHOR = {A.~N.~Zaoui and E.~Traviesas},
  TITLE = {Sur la fiabilité et la robustesse du code ISABeL},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2000},
  NUMBER = {TR/PA/00/76},
  TYPE = {{Technical Report}},
  KEYWORDS = {Méthode d'{A}rnoldi-{B}loc, méthode des {I}térations {S}imultanées, 
                valeurs propres, critères de convergence, arithmétique exacte, précision finie.},
  URL = {http://www.cerfacs.fr/algor/reports/2000/TR_PA_00_76.ps.gz}
}

@TECHREPORT{ctil:01,
  AUTHOR = {F.~Chaitin-Chatelin and E.~Traviesas and A.~Ilahi},
  TITLE = {Résolution géométrique d'une équation de
       degré 4 : Partie 1},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  NUMBER = {WN/PA/01/01},
  TYPE = {{W}orking {N}otes},
  KEYWORDS = {Parabole, hyperbole, équation de degré 4, étude asymptotique.},
  PS = {http://www.cerfacs.fr/algor/reports/2001/WN_PA_01_01.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/WN_PA_01_01.pdf}
}

@TECHREPORT{ggtu:01,
  AUTHOR = {L.~Giraud and F.~Guevara Vasquez and R.~S.~Tuminaro},
  TITLE = {Grid Transfer Operators for Highly Variable
       Coefficient Problems in Two-level Non-overlapping
       Domain Decomposition Methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  NUMBER = {TR/PA/01/03},
  TYPE = {{T}ech. {R}ep.},
  NOTE = {Preliminary version of the article published in {N}umerical {L}inear {A}lgebra and {A}pplications,
                vol. 10, nbr 5-6, pp 467-484, 2003},
  KEYWORDS = {Domain decomposition, two-level preconditioning, {S}chur complement, parallel distributed computing, elliptic partial differential equations, discontinuous coefficients.},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_03.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_03.pdf}
}

@TECHREPORT{goot:01,
  AUTHOR = {N.~I.~M.~Gould and D.~Orban and Ph.~L.~Toint},
  TITLE = {{\sf CUTEr}, a Constrained and Unconstrained Testing
       Environment, revisited},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  NUMBER = {TR/PA/01/04},
  TYPE = {{Technical Report}},
  KEYWORDS = {Nonlinear constrained optimization, testing environment, shared filesystems, heterogeneous environment, {SIF} format.},
  NOTE = {Preliminary version of the paper published in ACM Transactions on Mathematical Software, vol. 29, nber 4, december 2003},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_04.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_04.pdf}
}

@TECHREPORT{duhp:01,
  AUTHOR = {I.~S.~Duff and M.~A.~Heroux and R.~Pozo},
  TITLE = {{The Sparse BLAS}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/01/24},
  NOTE = {Preliminary version of the paper published in {\it ACM Trans. Math. Softw.}, vol. 28, nber 2, pp 239-267, 2002},
  KEYWORDS = {Sparse {BLAS}, sparse matrices, sparse iterative methods, computational kernels, algorithms, software.},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_24.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_24.pdf}
}

@TECHREPORT{duvo:01,
  AUTHOR = {I.~S.~Duff and C.~Vömel},
  TITLE = {The {I}mplementation of the {S}parse {BLAS} in         
                {F}ortran~95},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/01/27},
  NOTE = {Preliminary version of the paper published in {\it ACM Trans. Math. Softw.}, vol. 28, nber 2, pp 268-283, 2002},
  KEYWORDS = {Unstructured sparse matrices, sparse data structures, programming standard, iterative linear solvers, {BLAS}, {S}parse {BLAS}.},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_27.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_27.pdf}
}

@TECHREPORT{gira:01,
  AUTHOR = {L.~Giraud},
  TITLE = {Combining Shared and Distributed Memory Programming
                Models on Clusters of Symmetric Multiprocessors: Some Basic
                Promising Experiments},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  NUMBER = {WN/PA/01/19},
  TYPE = {{W}orking {N}ote},
  KEYWORDS = {Cluster of {P}entium {PC}s, cluster {A}linka {I}tanium, {C}ompaq {A}lphaserver, shared memory, distributed memory, {OpenMP}, {MPI}, performance evaluation.},
  NOTE = {Preliminary version of the paper published in the {I}nternational {J}ournal of {H}igh {P}erformance {C}omputing {A}pplications, vol. 16, nber 4, pp 425-430, 2002},
  PS = {http://www.cerfacs.fr/algor/reports/2001/WN_PA_01_19.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/WN_PA_01_19.pdf}
}

@TECHREPORT{cdgm:01a,
  AUTHOR = {B.~Carpentieri and I.~S.~Duff and L.~Giraud and M.~Magolu monga Made},
  TITLE = {Sparse symmetric preconditioners for dense linear systems in electromagnetism.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  NUMBER = {TR/PA/01/35},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Preconditioning techniques, {F}robenius-norm minimization method, factorized approximate inverse, {I}ncomplete {C}holesky factorization, nonzero pattern selection strategies, electromagnetic scattering applications.},
  NOTE = {Also {T}echnical {R}eport {RAL-TR-2002-016}. Preliminary version of the paper published in {N}umerical {L}inear {A}lgebra and {A}pplications, vol. 11, nber 8-9, pp 753-771, 2004},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_35.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_35.pdf}
}

@TECHREPORT{gila:01,
  AUTHOR = {L.~Giraud and J.~Langou},
  TITLE = {When modified {G}ram-{S}chmidt generates a well-conditioned
                 set of vectors},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/01/17},
  NOTE = {Preliminary version of the paper published in the IMA {J}ournal of {N}umerical {A}nalysis, vol. 22, nber 4, pp 521-528,2002},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_17.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_17.pdf}
}

@TECHREPORT{gkmr:01,
  AUTHOR = {L.~Giraud and J.~Koster and A.~Marrocco and
                J.-C.~Rioual},
  TITLE = {Domain decomposition methods in semiconductor device
                modeling},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  NUMBER = {TR/PA/01/51},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the paper published in the
                proceedings of the $13^{th}$ conference
                on {D}omain {D}ecomposition {M}ethods in {S}cientific
                {C}omputing, 2001},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_51.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_51.pdf}
}

@TECHREPORT{matr:01,
  AUTHOR = {C.~Mandry and E.~Traviesas},
  TITLE = {Convergence de la méthode d'{A}rnoldi en précision
                 finie en fonction du vecteur initial},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  NUMBER = {WN/PA/01/36},
  TYPE = {{W}orking {N}ote},
  KEYWORDS = {Méthode d'Arnoldi, erreur inverse, défaut 
                  d'orthogonalité.},
  PS = {http://www.cerfacs.fr/algor/reports/2001/WN_PA_01_36.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/WN_PA_01_36.pdf}
}

@TECHREPORT{rost:01,
  AUTHOR = {M.~Rojas and T.~Steihaug},
  TITLE = {An interior-point trust-region-based method for large-scale
                 nonnegative regularization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  TYPE = {Technical {R}eport},
  NUMBER = {TR/PA/01/11},
  NOTE = {Preliminary version of the article published in {I}nverse {P}roblems, vol. 18, nber 5, pp 1291-1307, 2002},
  KEYWORDS = {Regularization, constrained quadratic optimization, trust region,
                 {L}anczos method, ill-posed problems, inverse problems, image restoration.},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_11.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_11.pdf}
}

@TECHREPORT{chtr:01,
  AUTHOR = {F.~Chaitin-Chatelin and E.~Traviesas},
  TITLE = {Homotopic perturbation - {U}nfolding the field of 
                singularities of a matrix by a complex parameter: 
                a global geometric approach},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  TYPE = {Technical {R}eport},
  KEYWORDS = {homotopic perturbations, {N}eumann series, spectral orbit, 
                 spectral ray, eigenvalue problem},
  NUMBER = {TR/PA/01/84},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_84.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_84.pdf}
}

@TECHREPORT{chme:01a,
  AUTHOR = {F. Chaitin-Chatelin and T.~Me\v skauskas},
  TITLE = {Inner-Outer ierations for mode solvers in structural mechanics: application to the {C}ode {A}ster},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  TYPE = {{C}ontract {R}eport},
  NUMBER = {TR/PA/01/85},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_85.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_85.pdf}
}

@TECHREPORT{algoreport:01,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 2001},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/01/105},
  PS = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_105.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_105.pdf}
}

@TECHREPORT{gigr:01,
  AUTHOR = {John~R.~Gilbert and Laura~Grigori},
  TITLE = {A note on the column elimination tree},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2001},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {column elimination tree, sparse partial pivoting, structure
              preditiction, lower bounds},
  NUMBER = {TR/PA/01/104},
  URL = {http://www.cerfacs.fr/algor/reports/2001/TR_PA_01_104.ps.gz}
}

@TECHREPORT{goot:02a,
  AUTHOR = {N.~I.~M.~Gould and D.~Orban and Ph.~L.~Toint},
  TITLE = {General {{\sf CUTEr}} documentation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/02/13},
  KEYWORDS = {Nonlinear constrained optimization, testing environment, shared filesystems, heterogeneous environment, {SIF} format.},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_13.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_13.pdf}
}

@TECHREPORT{goot:02b,
  AUTHOR = {N.~I.~M. Gould and D.~Orban and Ph.~L.~Toint},
  TITLE = {General {{\sf SifDec}} documentation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/02/14},
  KEYWORDS = {Nonlinear constrained optimization, testing environment, shared filesystems, heterogeneous environment, {SIF} format.},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_14.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_14.pdf}
}

@TECHREPORT{rich:02,
  AUTHOR = {G.~Richard},
  TITLE = {Coupling {MUMPS} and ordering software},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{W}orking {N}otes},
  KEYWORDS = {sparse direct factorization, distributed computing, ordering
                  techniques, multifrontal},
  NUMBER = {WN/PA/02/24},
  PS = {http://www.cerfacs.fr/algor/reports/2002/WN_PA_02_24.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/WN_PA_02_24.pdf}
}

@TECHREPORT{chmz:02,
  AUTHOR = {F.~Chaitin-Chatelin and T.~Me\v skauskas and A.~N.~Zaoui},
  TITLE = {Hypercomplex division in the presence of zero divisors on $\mathbb{R}$ and $\mathbb{Z}_2$},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {algebra, zero divisor, hypercomplex division, binary, special relativity, quaternions,
                  quantum interference, geometric order, complex logic of dimension 2 and 4},
  NUMBER = {TR/PA/02/29},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_29.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_29.pdf}
}

@TECHREPORT{gilr:02,
  AUTHOR = {L.~Giraud and J.~Langou and M.~Rozlo{\v{z}}n{\'{\i}}k},
  TITLE = {On the round-off error analysis of the {G}ram-{S}chmidt algorithm with reorthogonalization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {{G}ram-{S}chmidt orthogonalization, reorthogonalization schemes},
  NUMBER = {TR/PA/02/33},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_33.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_33.pdf}
}

@TECHREPORT{boda:02,
  AUTHOR = {C.~Bousquet and C.~Daniel},
  TITLE = {Complex version and validation of {MUMPS}, {M}ultifrontal {M}assively {P}arallel {S}olver},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{W}orking {N}otes},
  NOTE = {Mémoire de  Ma{î}trise Ingénierie Mathématique, UPS III},
  NUMBER = {WN/PA/02/34},
  PS = {http://www.cerfacs.fr/algor/reports/2002/WN_PA_02_34.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/WN_PA_02_34.pdf}
}

@TECHREPORT{gila:02,
  AUTHOR = {L.~Giraud and J.~Langou},
  TITLE = {Robust selective {G}ram-{S}chmidt reorthogonalization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {{G}ram-{S}chmidt algorithm, reorthogonalization schemes.},
  NUMBER = {TR/PA/02/52},
  NOTE = {Preliminary version of the article published in SIAM Journal on Scientific Computing,
                  vol. 25, nber 2, pp. 417-441, 2003},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_52.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_52.pdf}
}

@TECHREPORT{gila:02a,
  AUTHOR = {L.~Giraud and J.~Langou},
  TITLE = {Another proof for modified {G}ram-{S}chmidt with reorthogonalization.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{W}orking {N}otes},
  KEYWORDS = {{G}ram-{S}chmidt algorithm, reorthogonalization schemes.},
  NUMBER = {WN/PA/02/53},
  PS = {http://www.cerfacs.fr/algor/reports/2002/WN_PA_02_53.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/WN_PA_02_53.pdf}
}

@TECHREPORT{cadg:02,
  AUTHOR = {B.~Carpentieri and I.~S.~Duff and L.~Giraud.},
  TITLE = {A class of spectral two-level preconditioners},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/02/55},
  NOTE = {Also {T}echnical {R}eport {RAL-TR-2002-020}.
        Preliminary version of the article published in SIAM Journal on Scientific Computing,
        vol. 25, nber 2, pp. 749-765, 2003},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_55.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_55.pdf}
}

@TECHREPORT{chmg:02,
  AUTHOR = {F.~Chaitin-Chatelin and T.~Me\v skauskas and M.~van~Gijzen},
  TITLE = {Itérations emboîtées pour la méthode de la puissance avec accélération de {T}chebycheff en neutronique},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  NUMBER = {CR/PA/02/56},
  TYPE = {{C}ontract {R}eport}
}

@TECHREPORT{chtr:02,
  AUTHOR = {F.~Chaitin-Chatelin and E.~Traviesas},
  TITLE = {{PRECISE} and the reliability of {N}umerical {S}oftware},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  NUMBER = {TR/PA/02/57},
  TYPE = {{T}echnical {R}eport},
  NOTE = {Preliminary version of the Chapter 6 published in the book: {A}ccuracy and {R}eliability in {S}cientific {C}omputing ({B}. {E}inarsson ed.), pp. 95-108, SIAM 2005},
  KEYWORDS = {eigenvalues, backward error, indicators, randomness, finite precision},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_57.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_57.pdf}
}

@TECHREPORT{chtr:02b,
  AUTHOR = {F.~Chaitin-Chatelin and E.~Traviesas},
  TITLE = {{Q}ualitative {C}omputing},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  NUMBER = {TR/PA/02/58},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Critical points, eigenvalues, finite precision, Neumann series, 
           	   pseudospectrum, homotopic perturbations},
  NOTE = {Preliminary version of the Chapter 5 published in the book: {A}ccuracy and {R}eliability in {S}cientific {C}omputing ({B}. {E}inarsson ed.), pp. 77-92, SIAM 2005},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_58.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_58.pdf}
}

@TECHREPORT{chza:02,
  AUTHOR = {F.~Chaitin-Chatelin and A.~N.~Zaoui},
  TITLE = {Hypercomputation on \{0,1\}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  NUMBER = {TR/PA/02/73},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {algebra, zero-divisor, hypercomplex multiplication, 
            binary quaternions and octonions, geometric order, 
            complex logic of dimension 2, 4, and 8},
  NOTE = {Erratum : throughout {S}ection 6.2 and in {F}igure 6.1, read '~$S({\sf e},{\sf e})=O$~'},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_73.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_73.pdf}
}

@TECHREPORT{durd:02,
  AUTHOR = {R.~Durdos},
  TITLE = {Krylov solvers for large symmetric dense complex linear systems in electromagnetism: some numerical experiments},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  NUMBER = {WN/PA/02/97},
  TYPE = {{W}orking {N}otes},
  KEYWORDS = {SQMR, FSQMR, inner-outer iterations},
  PS = {http://www.cerfacs.fr/algor/reports/2002/WN_PA_02_97.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/WN_PA_02_97.pdf}
}

@TECHREPORT{advo:02,
  AUTHOR = {Patrick.~R.~Amestoy and I.~S.~Duff and C.~Vömel },
  TITLE = {Task scheduling in an asynchronous distributed memory multifrontal solver},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  NUMBER = {TR/PA/02/105},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Sparse linear systems, high performance computing, MUMPS, multifrontal {G}aussian elimination, distributed memory code, task scheduling},
  NOTE = {Submitted to {SIAM} {J}ournal of {M}atrix {A}nalysis and {A}pplications},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_105.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_105.pdf}
}

@TECHREPORT{chat:02,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {About {S}ingularities in {I}nexact {C}omputing},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  NUMBER = {TR/PA/02/106},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {homotopy, deviation, perturbation, singularity, orbit, ray,
  spectral radius, resolvent, Neumann series, Inexact Computing, backward
  error, critical point, kernel point, quadratic eigenproblem, rank deficiency,
  Jordan structure},
  NOTE = {Erratum : p.2, line 14, read 'associated with eigenvalues non equal to lambda'},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_106.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_106.pdf}
}

@TECHREPORT{gmri:02,
  AUTHOR = {L.~Giraud and A.~Marrocco and J.-C.~Rioual},
  TITLE = {Iterative versus direct parallel substructuring methods in semiconductor device modeling},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  NUMBER = {TR/PA/02/114},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {domain decomposition techniques, preconditioned Krylov methods, sparse direct solvers, parallel distributed computing.},
  NOTE = {Preliminary version of the paper published in Numerical Linear Algebra with Applications, vol. 12, nber 1, pp 33-53, 2005.},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_114.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_114.pdf}
}

@TECHREPORT{gigi:02,
  AUTHOR = {L.~Giraud and M.~B.~van~Gijzen},
  TITLE = {Large scale acoustic simulations on clusters of {SMP}s},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  NUMBER = {TR/PA/02/116},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {parallelisation, clusters of {SMP}s, {MPI}, {O}pen{MP}, acoustics, finite element method.},
  NOTE = {Preliminary version of the article published in the proceedings book: Integral Methods in Science and Engineering, of the IMSE2002 conference, pp 61-66},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_116.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_116.pdf}
}

@TECHREPORT{fggl:03,
  AUTHOR = {V.~Frayssé and L.~Giraud and S.~Gratton and J.~Langou},
  TITLE = {A Set of {GMRES} Routines for Real and Complex Arithmetics on High Performance Computers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {TR/PA/03/03},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {linear systems, Krylov methods, {GMRES}, reverse communication, distributed memory.},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_03.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_03.pdf}
}

@TECHREPORT{chgi:03,
  AUTHOR = { F.~Chaitin-Chatelin and M.~B.~van~Gijzen},
  TITLE = {Homotopic Deviation: an example in Acoustics.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {TR/PA/03/04},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Acoustic wave equation, pressure release, impeding boundary,
  impedance, Homotopic Deviation, critical point, kernel point, quadratic
  eigenproblem.},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_04.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_04.pdf}
}

@TECHREPORT{adpv:03,
  AUTHOR = {P.~Amestoy and I.~S.~Duff and S.~Pralet and C.~Vömel},
  TITLE = {Adapting a parallel sparse direct solver to {SMP} architectures},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {TR/PA/03/05},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Sparse linear systems, {MUMPS}, distributed memory algorithms, task scheduling, dynamic scheduling.},
  NOTE = {Preliminary version of the article published in Parallel Computing,
             special issue on {P}arallel and {D}istributed {S}cientific and {E}ngineering {C}omputing,
             vol. 29, nber 11-12, pp 1645-1668, 2003},
  URL = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_05.ps.gz}
}

@TECHREPORT{chate:03,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {On a recursive hierarchy for Numbers algorithmically emerging from processing binary sequences},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {TR/PA/03/08},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {binary sequence, Cantor space, order, weight, measure, connectedness, hypermultiplication, hypercomplex algebra, Mersenne number, Fermat number, Sierpinski triangle, spectral analysis, Fourier analysis, modular arithmetic, Newcomb-Borel paradox.},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_08.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_08.pdf}
}

@TECHREPORT{gijz:03a,
  AUTHOR = {M.~B.~van~Gijzen},
  TITLE = {Two level parallelism in a stream-function model for global ocean circulation.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {TR/PA/03/09},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Stream-function model for ocean circulation, iterative solution of systems of linear equations, domain 
composition, fine grain parallelisation, continent boundaries, cluster of SMP's, combining OpenMP and MPI.},
  NOTE = {Preliminary version of the paper published in the proceedings of Euro-Par2003, Lecture Notes in Computer Science 2790, pp. 820-829, 2003},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_09.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_09.pdf}
}

@TECHREPORT{gigl:03,
  AUTHOR = {L.~Giraud and S.~Gratton and J.~Langou},
  TITLE = {A reorthogonalization procedure for modified {G}ram--{S}chmidt algorithm based on a rank--$k$ update.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {TR/PA/03/11},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {modified {G}ram--{S}chmidt algorithm, rank interpretation, reorthogonalization a posteriori, {S}eed {GMRES} algorithm.},
  NOTE = {Preliminary version of the paper published in SIMAX, vol.~25~(4), p. 1163--1177, 2004},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_11.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_11.pdf}
}

@TECHREPORT{algoreport:02,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 2002},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2002},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/02/124},
  PS = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_124.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2002/TR_PA_02_124.pdf}
}

@TECHREPORT{adel:03,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and J.~Y.~L'Excellent and X.~S.~Li},
  TITLE = {Impact of the Implementation of {MPI} Point-to-Point Communications on the Performance of Two General Sparse Solvers},
  YEAR = {2003},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/14},
  NOTE = {Various versions have appeared as technical reports RT/APO/01/4 from ENSEEIHT-IRIT, Toulouse, 
           RR-4372 from INRIA, Lyon, and LBNL-48968 from Lawrence Berkeley National Laboratory, California.
           Preliminary version of the article published in Parallel Computing, vol. 29, nber 7, pp 833-847, 2003},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_14.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_14.pdf}
}

@TECHREPORT{chate:03a,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {The {A}rnoldi method in the light of {H}omotopic {D}eviation theory},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/15},
  KEYWORDS = {{H}omotopic {D}eviation, critical point, kernel point, {H}essenberg form, irreductible, derogatory, incomplete {A}rnoldi decomposition, {A}rnoldi residual, restarted {A}rnoldi, inner-outer iterations},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_15.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_15.pdf}
}

@TECHREPORT{arlw:03,
  AUTHOR = {M.~Arioli and D.~Loghin and A.~J.~Wathen},
  TITLE = {Stopping criteria for iterations in finite element methods.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/21},
  NOTE = {Preliminary versin of an article published in Numerische Mathematik, vol. 99, issue 2, pp 381-410, 2005},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_21.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_21.pdf}
}

@TECHREPORT{gilr:03,
  AUTHOR = {L.~Giraud and J. ~Langou and M.~Rozlo\v{z}n\'{\i}k},
  TITLE = {On the loss of orthogonality in the {G}ram-{S}chmidt orthogonalization process.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/25},
  KEYWORDS = {{G}ram-{S}chmidt orthogonalization, {A}rnoldi process, {K}rylov subspace, {GMRES}},
  NOTE = {Preliminary version of the paper published in Computer and Mathematics with Applications, vol. 50, pp 1069-1075, 2005},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_25.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_25.pdf}
}

@TECHREPORT{essg:03,
  AUTHOR = {J.~van~den~Eshof and G.~L.~G.~Sleijpen and M~.B.~van~Gijzen},
  TITLE = {Relaxation strategies for nested {K}rylov methods.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/27},
  KEYWORDS = {Iterative solution of linear systems, flexible Krylov methods, relaxation strategies, Schur complement, ocean circulation},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_27.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_27.pdf}
}

@TECHREPORT{ellw:03,
  AUTHOR = {H.~C.~Elman and D.~Loghin and A.~J.~Wathen},
  TITLE = {Preconditioning techniques for {N}ewton's method for the incompressible {N}avier--{S}tokes equations.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/31},
  KEYWORDS = {Block preconditioners, Navier--Stokes, Newton's method.},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_31.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_31.pdf}
}

@TECHREPORT{riya:03a,
  AUTHOR = {S.~Riyavong},
  TITLE = {Experiments on Sparse Matrix Partitioning},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {WN/PA/03/32},
  TYPE = {{W}orking {N}otes},
  KEYWORDS = {sparse matrix, matrix-vector multiplication, matrix partitioning.},
  PS = {http://www.cerfacs.fr/algor/reports/2003/WN_PA_03_32.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/WN_PA_03_32.pdf}
}

@TECHREPORT{chate:03b,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Elements of {H}ypercomputations on $\mathbb{R}$ and $\mathbb{Z}_2$ with the {D}ickson-{A}lbert inductive process.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {TR/PA/03/34},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Hypercomplex algebra, Dickson-Albert inductive process, quadratic algebra, conjugator, commutator, associator, alternativity, flexibility, power associativity, zero divisors, additive versus multiplicative representation of Numbers, exponential, {P}ythagorean triples.},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_34.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_34.pdf}
}

@TECHREPORT{dglm:03,
  AUTHOR = {I.~S.~Duff and  L.~Giraud and J.~Langou and E.~Martin},
  TITLE = {Using spectral low rank preconditioners for large electromagnetic calculations},
  YEAR = {2003},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/95},
  KEYWORDS = {electromagnetic scattering problems, large dense complex linear systems, {F}robenius--norm minimization preconditioner, spectral low rank update preconditioner},
  NOTE = {Preliminary version of the article published in IJNME, vol. 62, nber 3, pp 416-434 },
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_95.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_95.pdf}
}

@TECHREPORT{chate:03c,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Computing beyond analyticity. {M}atrix Algorithms in {I}nexact and {U}ncertain Computing.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {TR/PA/03/110},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {{S}herman-{M}orrison formula, {J}ordan structure, kernel point, critical point, {R}itz value, eigenprojection, backward analysis, {I}nexact {C}omputing, {U}ncertain {C}omputing.},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_110.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_110.pdf}
}

@TECHREPORT{cdgs:03,
  AUTHOR = {B.~Carpentieri and I.~S.~Duff and L.~Giraud and G.~Sylvand},
  TITLE = {Combining fast multipole techniques and an approximate inverse preconditioner for large parallel electromagnetics calculations.},
  YEAR = {2003},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/77},
  KEYWORDS = {Iterative solution of linear systems, Flexible Krylov methods, Fast multipole method, Preconditioning techniques, Frobenius-norm minimization method, Computational Electromagnetics, Large industrial tests problems},
  NOTE = {Preliminary version of the article published in SISC, vol. 27, nber 3, pp 774-792 },
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_77.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_77.pdf}
}

@TECHREPORT{acdg:03,
  AUTHOR = {G.~Alléon and B.~Carpentieri and I.~S.~Duff and L.~Giraud and J.~Langou and E.~Martin and G.~Sylvand},
  TITLE = {Efficient parallel iterative solvers for the solution of large dense linear systems arising from the boundary element method in electromagnetism.},
  YEAR = {2003},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/65},
  KEYWORDS = {Iterative solution of linear systems, Flexible Krylov methods, Fast multipole method, Preconditioning techniques, Frobenius-norm minimization method, Adaptive preconditioning, Spectral corrections, Computational Electromagnetics, Large industrial tests problems},
  NOTE = {Preliminary version of the paper published electronically in
                 the proceedings of the international conference on
                 supercomputing in nuclear application, Paris, 2003},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_65.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_65.pdf}
}

@TECHREPORT{riya:03b,
  AUTHOR = {S.~Riyavong},
  TITLE = {Experiments on Parallel Matrix-Vector Product},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  NUMBER = {WN/PA/03/127},
  TYPE = {{W}orking {N}otes},
  KEYWORDS = {parallel matrix-vector product, parallel {GMRES} method, data structure},
  PS = {http://www.cerfacs.fr/algor/reports/2003/WN_PA_03_127.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/WN_PA_03_127.pdf}
}

@TECHREPORT{algoreport:03,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 2003},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2003},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/03/135},
  PS = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_135.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2003/TR_PA_03_135.pdf}
}

@TECHREPORT{chgi:04,
  AUTHOR = {F.~Chaitin-Chatelin and  M.~B.~van~Gijzen},
  TITLE = {Homotopic Deviation with an application to Computational Acoustics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2004},
  NUMBER = {TR/PA/04/05},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Acoustic wave equation, pressure release, impeding boundary, impedance, Homotopic Deviation, critical point, kernel point, quadratic eigenproblem},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_05.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_05.pdf}
}

@TECHREPORT{bagg:04,
  AUTHOR = {M.~Baboulin and L.~Giraud and S.~Gratton},
  TITLE = {A parallel distributed solver for large dense symmetric systems: applications to geodesy and electromagnetism problems.},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/16},
  KEYWORDS = {scientific computing, parallel distributed algorithms, symmetric dense linear systems, Cholesky, ScaLAPACK.},
  NOTE = {Preliminary version of an article published in Int. J. High Speed Computing, vol. 19, nber 4, pp 353-363, 2005},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_16.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_16.pdf}
}

@TECHREPORT{dupr:04,
  AUTHOR = {I~.~S.~Duff and S.~Pralet},
  TITLE = {Experiments in preprocessing and scaling symmetric problems for multifrontal solutions.},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{W}orking {N}otes},
  NUMBER = {WN/PA/04/17},
  KEYWORDS = {bipartite weighted matching, scaling, multifrontal direct solver, symmetric indefinite matrices, augmented systems.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/WN_PA_04_17.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/WN_PA_04_17.pdf}
}

@TECHREPORT{chat:04,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {The dynamics of matrix coupling with an application to {K}rylov methods},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/29},
  KEYWORDS = {{S}herman-{M}orrison formula, {J}ordan structure, frontier point, critical point, {R}itz value, eigenprojection, analyticity, singularity, backward analysis, Krylov method.},
  NOTE = {Preliminary version of the article published in Z. Li et al. (eds), Proceedings of NAA 2004, pp. 14-24, {S}pringer {V}erlag {LNCS}, vol. 3401, 2005},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_29.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_29.pdf}
}

@TECHREPORT{cagg:04,
  AUTHOR = {B.~Carpentieri and L.~Giraud and S.~Gratton},
  TITLE = {Additive and multiplicative two-level spectral preconditioning for general linear systems.},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/38},
  KEYWORDS = {spectral preconditioner, additive and multiplicative two-grid cycles, Krylov solvers.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_38.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_38.pdf}
}

@TECHREPORT{gigl:04,
  AUTHOR = {L.~Giraud and S.~Gratton and J.~Langou},
  TITLE = {A note on relaxed and flexible {GMRES}},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/41},
  KEYWORDS = {{GMRES}, robust relaxation strategies, backward error stability.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_41.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_41.pdf}
}

@TECHREPORT{girt:04,
  AUTHOR = {L.~Giraud and D.~Ruiz and A.~Touhami},
  TITLE = {A comparative study of iterative solvers exploiting spectral information for {SPD} systems},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/40},
  KEYWORDS = {Chebyshev polynomials, block {L}anczos method, conjugate gradient method, filtering, deflation, spectral preconditioning, two-grid schemes, iterative methods.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_40.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_40.pdf}
}

@TECHREPORT{lort:04,
  AUTHOR = {D.~Loghin and D.~Ruiz and A.~Touhami},
  TITLE = {{A}daptive preconditioners for  nonlinear systems of equations},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/42},
  KEYWORDS = {adaptive preconditioners, nonlinear systems, Newton's method, domain decomposition techniques, augmented systems, {N}avier--{S}tokes, iterative methods.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_42.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_42.pdf}
}

@TECHREPORT{logh:04,
  AUTHOR = {D.~Loghin},
  TITLE = {Boundary preconditioning for mixed finite-element discretizations of fourth-order elliptic problems},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/43},
  KEYWORDS = {H\{-1/2\}-preconditioning, {S}chur complements, biharmonic and fourth-order elliptic problems, field of values.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_43.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_43.pdf}
}

@TECHREPORT{gils:04,
  AUTHOR = {L.~Giraud and J.~Langou and G.~Sylvand},
  TITLE = {On the parallel solution of large industrial wave propagation problems},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/52},
  KEYWORDS = {Large electromagnetic and acoustic simulations, high performance computing, distributed memory environment, fast multipole methods, flexible Krylov solvers, relaxed inner-outer schemes, approximate inverse preconditioner.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_52.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_52.pdf}
}

@TECHREPORT{dupr:04a,
  AUTHOR = {I.~S.~Duff and S.~Pralet},
  TITLE = {Strategies for scaling and pivoting for sparse symmetric indefinite problems},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/59},
  KEYWORDS = {indefinite matrice, weighted matching, scaling, multifrontal solver.},
  NOTE = {Preliminary version of the article published in {SIAM} {J}. {M}atrix {A}nalysis and {A}pplications, 
           vol. 27, nber 27, pp. 313-340},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_59.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_59.pdf}
}

@TECHREPORT{baza:04,
  AUTHOR = {F.~S.~V.~Bazan},
  TITLE = {Matrix polynomials with partially prescribed eigenstructure},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/64},
  KEYWORDS = {Matrix polynomials, block companion matrices, eigenvalue sensitivity, controllability Gramian.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_64.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_64.pdf}
}

@TECHREPORT{sleg:04,
  AUTHOR = {G.~L.~G.~Sleijpen and J.~van~den~Eshof and M.~B.~van~Gijzen},
  TITLE = {Restarted {GMRES} with Inexact Matrix--Vector Products},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/75},
  KEYWORDS = {restarted GMRES, inner-outer iterations, inexact matrix-vector products.},
  NOTE = {Preliminary version of the article published in Z. Li et al. (eds), 
           Proceedings of NAA2004, Rousse Bulgaria, LNCS 3401, pp. 494-501},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_75.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_75.pdf}
}

@TECHREPORT{glre:04,
  AUTHOR = {L.~Giraud and J.~Langou and M.~Rozlo\v{z}n\'{\i}k and J.~van~den~Eshof},
  TITLE = {Rounding error analysis of the classical {G}ram-{S}chmidt orthogonalization process},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/77},
  KEYWORDS = {Rounding error analysis of the classical {G}ram-{S}chmidt orthogonalization process, iterative classical {G}ram-{S}chmidt.},
  NOTE = {Preliminary version of the article published in Numerische Mathematik, vol. 101, nber 1, pp. 87-100, 2005},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_77.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_77.pdf}
}

@TECHREPORT{logj:04,
  AUTHOR = {D.~Loghin and M.~B.~van~Gijzen and E.~Jonkers},
  TITLE = {Bounds on the eigenvalue range and on the field of values of non-hermitian and indefinite finite element matrices},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/86},
  KEYWORDS = {eigenvalue bounds, field of values, numerical radius, non-hermitian finite element matrices, iterative methods.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_86.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_86.pdf}
}

@TECHREPORT{chate:04,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Beyond ideals in the {D}ickson ring of integral octonions},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/96},
  KEYWORDS = {theorem of 1,~2,~4,~8 squares, special associativity, alternativity, integral quaternions, integral octonions, ring, ideal, odd number.},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_96.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_96.pdf}
}

@TECHREPORT{gigr:04,
  AUTHOR = {L.~Giraud and S.~Gratton},
  TITLE = {On the sensitivity of some spectral preconditioners},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/108},
  KEYWORDS = {spectral preconditioners, coarse-grid preconditioner, deflating preconditioner, sensitivity analysis},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_108.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_108.pdf}
}

@TECHREPORT{arbg:04,
  AUTHOR = {M.~Arioli and M.~Baboulin and S.~Gratton},
  TITLE = {Partial condition number for linear least squares problems},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/111},
  KEYWORDS = {Linear least squares, normwise condition number, statistical condition estimate, parameter estimation},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_111.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_111.pdf}
}

@TECHREPORT{durg:04,
  AUTHOR = {I.~S.~Duff and S.~Riyavong and M.~B.~van~Gijzen},
  TITLE = {Parallel preconditioners based on partitioning sparse matrices},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/114},
  KEYWORDS = {Hypergraph model, matrix partitioning, block diagonal preconditioning, 
parallel matrix-vector product, parallel iterative method},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_114.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_114.pdf}
}

@TECHREPORT{duff:04a,
  AUTHOR = {I.~S.~Duff},
  TITLE = {Combining direct and iterative methods for the solution of large systems in different application areas},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/128},
  KEYWORDS = {sparse direct methods, iterative methods, domain decomposition, constrained optimization, nonlinear water waves, electromagnetics},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_128.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_128.pdf}
}

@TECHREPORT{chate:04a,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {On {L}idskii's algorithm to quantify the first order terms in the asymptotics of a defective eigenvalue. {P}art {I}},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/129},
  KEYWORDS = {Jordan form, defective eigenvalue, Puiseux order, Schur complement matrix, Schur coefficient, Lidskii's generic condition, homotopic deviation},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_129.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_129.pdf}
}

@TECHREPORT{gigl:04b,
  AUTHOR = {L.~Giraud and S.~Gratton and J.~Langou},
  TITLE = {Convergence in backward error of relaxed {GMRES}},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/132},
  KEYWORDS = {GMRES, inexact matrix-vector product, backward error analysis, relaxation strategies},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_132.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_132.pdf}
}

@TECHREPORT{essg:04,
  AUTHOR = {J.~van den Eshof and G.~L.~G.~Sleijpen and M.~B.~van Gijzen },
  TITLE = {Iterative linear system solvers with approximate matrix-vector products},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/133},
  KEYWORDS = {Inexact Krylov methods, approximate matrix-vector products},
  NOTE = {To appear in the proceedings of the Third International Workshop on Numerical Analysis and Lattice QC},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_133.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_133.pdf}
}

@TECHREPORT{amlp:04,
  AUTHOR = {P.~Amestoy and X.~S.~Li and S.~Pralet},
  TITLE = {Unsymmetric ordering using a constrained {M}arkowitz scheme},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/137},
  KEYWORDS = {sparse unsymmetric matrices, greedy heuristics, ordering methods, bipartite quotient graph},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_137.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_137.pdf}
}

@TECHREPORT{agep:04,
  AUTHOR = {P.~Amestoy and A.~Guermouche and J.~Y.~L'Excellent and S.~Pralet},
  TITLE = {Hybrid scheduling for the parallel solution of linear systems},
  YEAR = {2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/140},
  KEYWORDS = {sparse matrices, parallel multifrontal method, dynamic scheduling, memory},
  NOTE = {Also available as INRIA report RR-5404 and as ENSEEIHT-IRIT technical report RT/APO/04/03},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_140.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_140.pdf}
}

@TECHREPORT{chate:05,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {On {L}idskii's algorithm to quantify the first order terms in the asymptotics of a defective eigenvalue. {P}art {II}},
  YEAR = {2005},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/05/04},
  KEYWORDS = {Simple and {M}odified {H}omotopic {D}eviation, {Schur} complement, {S}herman-{M}orrison formula, polynomial, rational fraction},
  PS = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_04.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_04.pdf}
}

@TECHREPORT{ahcm:05,
  AUTHOR = {M.~Ahmadnasab and F.~Chatin-Chatelin and N.~Megrez},
  TITLE = {Homotopic deviation in the light of algebra},
  YEAR = {2005},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/05/05},
  KEYWORDS = {Homotopic deviation, {L}idskii's theory, kernel point, critical point, frontier point, spectral and individual unobservability},
  PS = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_05.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_05.pdf}
}

@TECHREPORT{baza:05,
  AUTHOR = {F.~S.~V.~Bazan},
  TITLE = {Nonnormality estimation in projection-type system realization methods},
  YEAR = {2005},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/05/07},
  KEYWORDS = {eigenvalue sensitivity analysis, departure from normality, balanced realization},
  PS = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_07.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_07.pdf}
}

@TECHREPORT{algoreport:04,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 2004},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2004},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/04/141},
  PS = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_141.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2004/TR_PA_04_141.pdf}
}

@TECHREPORT{gigm:05,
  AUTHOR = {L.~Giraud and S.~Gratton and E.~Martin},
  TITLE = {Incremental spectral preconditioners for sequences of linear systems},
  YEAR = {2005},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/05/17},
  KEYWORDS = {Krylov solvers, implicitly restarted Arnoldi method, spectral preconditioners, large parallel calculations},
  NOTE = {Preliminary version of an article published in {Applied Numerical Mathematics}, vol. 57, nber 11-12, pp 1164-1180},
  PS = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_17.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_17.pdf}
}

@TECHREPORT{dupr:05,
  AUTHOR = {I.~S.~Duff and S.~Pralet},
  TITLE = {Towards a stable static pivoting strategy for the sequential and parallel 
               solution of sparse symmetric indefinite systems },
  YEAR = {2005},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/05/26},
  KEYWORDS = {static pivoting, multifrontal solvers, sparse matrices, symmetric indefinite systems, parallel direct solvers},
  NOTE = {Also available as RAL Report RAL-TR-2005-007 and IRIT Report RT/TLSE/05/08},
  PS = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_26.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_26.pdf}
}

@TECHREPORT{bggl:05,
  AUTHOR = {M.~Baboulin and L.~Giraud and S.~Gratton and J.~Langou},
  TITLE = {A distributed packed storage for large parallel calculations.},
  YEAR = {2005},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/05/30},
  KEYWORDS = {parallel computing, dense linear algebra, parallel distributed algorithms, ScaLAPACK, packed storage format, Cholesky factorization, QR factorization},
  PS = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_30.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_30.pdf}
}

@TECHREPORT{accg:05,
  AUTHOR = {G.~Alléon and S.~Champagneux and G.~Chevalier and
    L.~Giraud and G.~Sylvand},
  TITLE = {Parallel Distributed Numerical Simulations in Aeronautic Applications},
  YEAR = {2005},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/CFD-PA/05/44},
  KEYWORDS = {Parallel distributed computing, large numerical simulations,
    aerodynamics, acoustics, industrial framework},
  PS = {http://www.cerfacs.fr/algor/reports/2005/TR_CFD-PA_05_44.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2005/TR_CFD-PA_05_44.pdf}
}

@TECHREPORT{chate:05a,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Inductive multiplication in {D}ickson algebras},
  YEAR = {2005},
  INSTITUTION = {CERFACS, Toulouse, France},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/05/56},
  KEYWORDS = {{D}ickson algebra, alternativity, contraction, expansion, isometry, {S}ingular {V}alue {D}ecomposition, zero divisor},
  PS = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_56.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_56.pdf}
}

@TECHREPORT{bagg:05a,
  AUTHOR = {M.~Baboulin and L.~Giraud and S.~Gratton},
  TITLE = {{GOCE}, Méthode de résolution inverse pour le champ de gravité},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2005},
  NUMBER = {CR/PA/05/88},
  TYPE = {{C}ontract {R}eport},
  KEYWORDS = {Moindres carrés linéaires, calcul hautes performances, champ de gravité, mission {GOCE}, conditionnement}
}

@TECHREPORT{algoreport:05,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 2005},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2005},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/05/110},
  PS = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_110.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2005/TR_PA_05_110.pdf}
}

@TECHREPORT{ebpa:06,
  AUTHOR = {D.~Ettema and F.~Bastin and J.~Polak and O.~Ashiru},
  TITLE = {An Error-Components Framework for Joint Choice Models of Activity Timing and Duration},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/02},
  KEYWORDS = {Trust-region methods, discrete choice analysis, error components},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_02.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_02.pdf}
}

@TECHREPORT{chai:06,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Calcul Algébrique non linéaire dans les algèbres de {D}ickson},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/07},
  KEYWORDS = {Clifford algebra, Dickson algebra, octonions, alternativity, flexibility, anisometry, zero divisors},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_07.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_07.pdf}
}

@TECHREPORT{gigl:06,
  AUTHOR = {L.~Giraud and S.~Gratton and J.~Langou},
  TITLE = {Convergence in backward error of relaxed {GMRES}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/08},
  KEYWORDS = {GMRES, Flexible GMRES, relaxation, backward error, stopping criteria, inexact preconditioning},
  NOTE = {This report supersedes~TR/PA/04/132},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_08.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_08.pdf}
}

@TECHREPORT{frgg:06,
  AUTHOR = {V.~Frayssé and L.~Giraud and S.~Gratton},
  TITLE = {A Set of Flexible {GMRES} Routines for Real and Complex Arithmetics on High Performance Computers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/09},
  KEYWORDS = {Flexible GMRES, variable preconditioning, portable code, high performance computers, othogonalization schemes, stopping criteria},
  NOTE = {This report supersedes~TR/PA/98/07},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_09.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_09.pdf}
}

@TECHREPORT{lagn:06,
  AUTHOR = {A.~S.~Lawless and S.~Gratton and N.~K.~Nichols},
  TITLE = {An investigation of incremental {4D-Var} using non-tangent linear models},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/10},
  KEYWORDS = {Incremental 4D-Var, Truncated Gauss-Newton, Convergence, Data Assimilation},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_10.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_10.pdf}
}

@TECHREPORT{bohv:06,
  AUTHOR = {O.~Boiteau and F.~Huelsemann and X.~Vasseur},
  TITLE = {Comparison of the linear algebraic solvers {M}umps and the multifrontal solver of {C}ode {ASTER}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  NUMBER = {CR/PA/06/11},
  TYPE = {{C}ontract {R}eport},
  KEYWORDS = {Sparse linear solver, MUMPS, out-of-core, stability, ASTER, benchmark}
}

@TECHREPORT{eegg:06,
  AUTHOR = {A.~{EL}~Ghazi and S.~{EL}~Hajji and L.~Giraud and S.~Gratton},
  TITLE = {A short note on backward errors for the common eigenvector problem},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/13},
  KEYWORDS = {common eigenvector, eigenvalue,  backward error, common invariant subspaces, simultaneous triangularization},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_13.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_13.pdf}
}

@TECHREPORT{grst:06a,
  AUTHOR = {S.~Gratton and A.~Sartenaer and Ph.~L.~Toint},
  TITLE = {Recursive Trust-Region Methods for Multiscale Nonlinear Optimization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/32},
  KEYWORDS = {nonlinear optimization, multiscale problems, simplified models, recursive algorithms, convergence theory},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_32.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_32.pdf}
}

@TECHREPORT{grst:06b,
  AUTHOR = {S.~Gratton and A.~Sartenaer and Ph.~L.~Toint},
  TITLE = {Numerical Experience with a Recursive Trust-Region Method for Multilevel Nonlinear Optimization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/33},
  KEYWORDS = {nonlinear optimization, multilevel problems, simplified models, recursive algorithms, numerical performance},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_33.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_33.pdf}
}

@TECHREPORT{grst:06c,
  AUTHOR = {S.~Gratton and A.~Sartenaer and Ph.~L.~Toint},
  TITLE = {Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/34},
  KEYWORDS = {nonlinear optimization, convergence to local minimizers, multilevel problems},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_34.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_34.pdf}
}

@TECHREPORT{knig:06,
  AUTHOR = {P.~A.~Knight},
  TITLE = {The {S}inkhorn-{K}nopp Algorithm: Convergence and Applications},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/42},
  KEYWORDS = {Matrix balancing, {S}inkhorn-{K}nopp algorithm, PageRank, doubly stochastic matrix},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_42.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_42.pdf}
}

@TECHREPORT{bggl:06,
  AUTHOR = {M.~Baboulin and L.~Giraud and S.~Gratton and J.~Langou},
  TITLE = {Parallel tools for solving incremental dense least squares problems. Application to space geodesy. },
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/63},
  KEYWORDS = {Scientific computing, dense linear algebra, parallel distributed algorithms, ScaLAPACK, QR factorization, gravity field computation. },
  NOTE = {Also available as LAPACK Working Note 179},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_63.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_63.pdf}
}

@TECHREPORT{bagg:06,
  AUTHOR = {M.~Baboulin and L.~Giraud and S.~Gratton},
  TITLE = {Solution of an inverse problem for the {GOCE} satellite mission},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  NUMBER = {CR/PA/06/78},
  TYPE = {{C}ontract {R}eport},
  KEYWORDS = {Packed format, linear least squares, gravity field, distributed computing, inverse problem.}
}

@TECHREPORT{gihw:06,
  AUTHOR = {L.~Giraud and A.~Haidar and L.~T.~Watson},
  TITLE = {Mixed-precision preconditioners in parallel domain decomposition solvers},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  NUMBER = {TR/PA/06/84},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Non-overlapping domain decomposition, additive {S}chwarz preconditioner, mixed arithmetic, parallel computing, hybrid solvers.},
  NOTE = {Also appeared as IRIT Technical report ENSEEIHT-IRIT RT/APO/06/08},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_84.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_84.pdf}
}

@TECHREPORT{bact:06,
  AUTHOR = {F.~Bastin and C.~Cirillo and Ph.~L.~Toint},
  TITLE = {Estimating mixed logit with non-parametric random variables},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  NUMBER = {TR/PA/06/87},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Nonlinear programming, constrained programming, stochastic programming, discrete choice modelling, non-parametric estimation.},
  PS = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_87.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2006/TR_PA_06_87.pdf}
}

@TECHREPORT{algoreport:06,
  AUTHOR = {The Parallel Algorithms Project},
  TITLE = {Scientific {R}eport for 2006},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2006},
  TYPE = {{T}echnical {R}eport},
  NUMBER = {TR/PA/06/107}
}

@TECHREPORT{dgpv:07,
  AUTHOR = {I.~S.~Duff and S.~Gratton and X.~Pinel and X.~Vasseur},
  TITLE = {Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/03},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Sparse linear systems, preconditioning,multigrid, complex symmetric matrices, {K}rylov subspace methods, {H}elmholtz equation, geophysics.},
  NOTE = {Preliminary version of an article published in {International Journal of Computer Mathematics}, vol. 84-8, pp 1167-1181},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_03.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_03.pdf}
}

@TECHREPORT{duff:07,
  AUTHOR = {I.~S.~Duff},
  TITLE = {The design and use of a sparse direct solver for skew symetric matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/04},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Sparse skew symetric systems, {G}aussian elimination, multifrontal method.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_04.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_04.pdf}
}

@TECHREPORT{gihw:07,
  AUTHOR = {L.~Giraud and A.~Haidar and L.~T.~Watson},
  TITLE = {Parallel scalability study of three dimensional additive {S}chwarz preconditioners in non-overlapping domain decomposition},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/05},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Large sparse linear systems, sparse direct solvers, iterative methods, preconditioned {K}rylov solvers, mixed arithmetic algorithms, parallel computing, elliptic {PDE}.},
  NOTE = {Also appeared as {ENSEEIHT-IRIT} {T}echnical report {RT/APO/07/01}},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_05.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_05.pdf}
}

@TECHREPORT{ucay:07,
  AUTHOR = {B.~Ucar and C.~Aykanat},
  TITLE = {Partitioning sparse matrices for parallel preconditioned iterative methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/23},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Matrix partitioning, preconditioning, iterative method, parallel computing.},
  NOTE = {Preliminary version of an article published in {SIAM Journal on Scientific Computing}, vol. 29, number 4, pp 1683-1709},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_23.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_23.pdf}
}

@TECHREPORT{gajm:07,
  AUTHOR = {M.~Garcia and S.~Jan and M.~Masmoudi},
  TITLE = {Neural networks: low-memory training and regularizatio techniques},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/25},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Neural network, algorithmic differentiation, training, regularization.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_25.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_25.pdf}
}

@TECHREPORT{gmtw:07,
  AUTHOR = {S.~Gratton and M.~Mouffe and Ph.~L.~Toint and M.~Weber-Mendonça},
  TITLE = {Global convergence of a recursive trust-region method in infinite norm for bound-constrained optimization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/42},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Recursive methods, multilevel problems, nonlinear optimization, convergence theory.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_42.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_42.pdf}
}

@TECHREPORT{adgs:07,
  AUTHOR = {P.~Amestoy and I.~S.~Duff and A.~Guermouche and Tz.~Slavova},
  TITLE = {Analysis of the out-of-core solution phase of a parallel multifrontal approach},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/48},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Parallel solution, out-of-core solution, {G}aussian elimination, multifrontal method, {MUMPS}.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_48.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_48.pdf}
}

@TECHREPORT{gigp:07,
  AUTHOR = {L.~Giraud and S.~Gratton and X.~Pinel},
  TITLE = {Classical and flexible Krylov subspace methods with deflated
  restarting for the solution of electromagnetics problems with
  impedance boundary conditions},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {CR/PA/07/53},
  TYPE = {{C}ontract {R}eport},
  KEYWORDS = {},
  NOTE = {Also appeared as ENSEEIHT-IRIT Technical report RT/APO/07/09}
}

@TECHREPORT{chate:07a,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {Computing beyond classical logic : {SVD} computation in nonassociative {D}ickson algebras},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/54},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {{C}haitin, {O}mega, {T}uring thesis, quaternions, octonions, nonassociative {D}ickson algebra, classical logic, {SVD} computation, nonclassical singular value, induction, nformation, {L}ife, evolution.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_54.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_54.pdf}
}

@TECHREPORT{chate:07b,
  AUTHOR = {F.~Chaitin-Chatelin},
  TITLE = {About an organic logic ruling the continuous evolution of {SVD} measurement with {D}ickson hypercomplex numbers.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/55},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Nonassociative {D}ickson algebras, classical and nonclassical {SVD} computations, measurement loop, evolution, logistic, classical logic, organiclogic, inner inductive continuation.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_55.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_55.pdf}
}

@PROCEEDINGS{gnsw:07,
  TITLE = {Proceedings of the International Conference on Preconditioning Techniques for
         Large Sparse Matrix Problems in Scientific and Industrial Applications},
  NUMBER = {TR/PA/07/71},
  YEAR = {2007},
  EDITOR = {L.~Giraud and E.~Ng and Y.~Saad and W.~P.~Tang},
  NOTE = {Registered as ENSEEIHT-IRIT RT/APO/07/10, also CERFACS TR/PA/07/71},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_71.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_71.pdf}
}

@TECHREPORT{ucar:07,
  AUTHOR = {B.~Ucar},
  TITLE = {Heuristics for a matrix symmetrization problem},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/91},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Unsymmetric sparse matrices, bipartite matching, matrix symmetrization.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_91.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_91.pdf}
}

@TECHREPORT{bdgl:07,
  AUTHOR = {M.~Baboulin and J.~Dongarra and S.~Gratton and J.~Langou},
  TITLE = {Computing the conditioning of the components of a linear least squares solution},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/101},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Linear least squares, statistical linear least squares, parameter estimation, condition number, variance-covariance matrix, LAPACK, ScaLAPACK.},
  NOTE = {Also appeared as LAPACK Working Note 193},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_101.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_101.pdf}
}

@TECHREPORT{ahch:07,
  AUTHOR = {M.~Ahmadnasab and F.~Chaitin-Chatelin},
  TITLE = { Matrix pencils under Homotopic Deviation theory},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/108},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Frontier set, critical set, evolving eigenvalue, invariant eigenvalue, final eigenvalue, regular matrix pencil, singular matrix pencil.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_108.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_108.pdf}
}

@TECHREPORT{chat:07,
  AUTHOR = {F.~ Chaitin-Chatelin},
  TITLE = {The dynamics of spectral analysis by Homotopic Deviation. Part {I} : The spectral field.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/118},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = { Complex coupling, Homotopic Deviation, complex intensity, observation point, communication matrix, homotopic polynomial, frontier set, frontier multiplicity, homotopic multiplicity, normwise observability, spectral observability.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_118.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_118.pdf}
}

@TECHREPORT{bmmt:07,
  AUTHOR = {F.~Bastin and V.~Malmedy and M.~Mouffe and Ph.~L.~Toint and D.~Tomanos},
  TITLE = {A Retrospective Trust-Region Method for Unconstrained Optiomization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {TR/PA/07/136},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Unconstrained minimization, trust-region methods, convergence theory, numerical experiments.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_136.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/TR_PA_07_136.pdf}
}

@TECHREPORT{grtt:07,
  AUTHOR = {A.~Troeltzsch, S.~Gratton and Ph.~L.~Toint},
  TITLE = {Benchmarking of bound-constrained optimization software},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2007},
  NUMBER = {WN/PA/07/143},
  TYPE = {{W}orking {N}otes},
  KEYWORDS = {Bound constrained optimization software, nonlinear optimization, line search method, trust region method, interior point method.},
  PS = {http://www.cerfacs.fr/algor/reports/2007/WN_PA_07_143.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2007/WN_PA_07_143.pdf}
}

@TECHREPORT{chat:08,
  AUTHOR = {F.~ Chaitin-Chatelin},
  TITLE = {The dynamics of spectral analysis by Homotopic Deviation. Part {II}: The evolution field.},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/03},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Complex coupling, Homotopic Deviation, complex intensity, observation point, communication matrix, homotopic polynomial, frontier set, frontier multiplicity, homotopic multiplicity, normwise observability, spectral observability.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_03.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_03.pdf}
}

@TECHREPORT{ahma:08a,
  AUTHOR = {M.~Ahmadnasab},
  TITLE = {An order reduction method  for computing the finite eigenvalues of regular matrix pencils},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/23},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Homotopic deviation, regular matrix pencils, generalized eigenvalue problem, singular value decomposition.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_23.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_23.pdf}
}

@TECHREPORT{bady:08,
  AUTHOR = {Z.~Z.~Bai and I.~S.~Duff and J.~F.~Yin},
  TITLE = {Numerical study on incomplete orthogonal factorization preconditioners},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/24},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Preconditioning, IQR, ILU, Givens rotation, incomplete orthogonal factorization, nonsymetric matrix, least-squares, normal equations.},
  NOTE = {Also appeared as Technical Report RAL-TR-2008-010 from Rutherford Appleton Laboratory, Oxfordshire.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_24.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_24.pdf}
}

@TECHREPORT{dumi:08,
  AUTHOR = {I.~S.~Duff and D.~Mijuca},
  TITLE = {On the efficient solution of mixed finite element equations in geometrically multiscale thermal stress analysis},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/25},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Solid mechanics, multiscale, time efficient, thermo-mechanical coupling, mixed finite element, multifield, sparse, indefinite, scaling, HSL, multifrontal method.},
  NOTE = {Also appeared as Technical Report RAL-TR-2008-009 from Rutherford Appleton Laboratory, Oxfordshire.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_25.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_25.pdf}
}

@TECHREPORT{duuc:08,
  AUTHOR = {I.~S.~Duff and B.~Ucar},
  TITLE = {On the block triangular form of symmetric matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/26},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Sparse matrices, block triangular form, Dulmage-Mendelsohn decomposition, maximum cardinality matching.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_26.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_26.pdf}
}

@TECHREPORT{adru:08,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and D.~Ruiz and B.~Ucar},
  TITLE = {A parallel matrix scaling algorithm},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/52},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Sparse matrices, matrix scaling, equilibration, parallel computing.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_52.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_52.pdf}
}

@TECHREPORT{ahma:08b,
  AUTHOR = {M.~Ahmadnasab},
  TITLE = {A study of round-off propagation in massively parallel codes for {L}arge {E}ddy {S}imulation ({LES})},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {CR/PA/08/75},
  TYPE = {{C}ontract {R}eport},
  KEYWORDS = {Large-Eddy Simulation, parallel simulation, rounding errors, spatial discretization, explicit Runge-Kutta method, fixed points, periodic solutions, bifurcations, SSP time-stepping approaches, nondeterministic message arrival, {XBLAS}.}
}

@TECHREPORT{adgs:08,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and A.~Guermouche and Tz.~Slavova},
  TITLE = {Analysis of the Solution Phase of a Parallel Multifrontal Approach},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/82},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Direct methods, multifrontal solver, MUMPS, sparse matrices, out-of-core algorithms.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_82.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_82.pdf}
}

@TECHREPORT{ahch:08,
  AUTHOR = {F.~Chaitin-Chatelin and M.~Ahmadnasab},
  TITLE = {Some contributions of Homotopic Deviation to the theory of matrix pencils},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/90},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Homotopic Deviation, observation point, frontier point, communication matrix, induction matrix, matrix pencil, Weierstrass, Cauchy.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_90.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_90.pdf}
}

@TECHREPORT{jiro:08,
  AUTHOR = {P.~Jiranek and M.~Rozloznik},
  TITLE = {Adaptive version of Simpler GMRES},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/101},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Large-scale nonsymmetric linear systems, Krylov subspace
methods, minimum residual methods, numerical stability, rounding errors.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_101.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_101.pdf}
}

@TECHREPORT{ggpv:08,
  AUTHOR = {L.~Giraud and S.~Gratton and X.~Pinel and X.~Vasseur},
  TITLE = {Flexible {GMRES} with deflated restarting},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2008},
  NUMBER = {TR/PA/08/128},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Krylov subspace methods, flexible preconditioning, deflation, implicit restarting.},
  PS = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_128.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2008/TR_PA_08_128.pdf}
}

@TECHREPORT{fagt:09,
  AUTHOR = {M.~Fares and S.~Gratton and Ph.~L.~Toint},
  TITLE = {{SVD}-tail: a new linear-sampling reconstruction
method for inverse scattering problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/45},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Inverse scattering, linear sampling method, regularization heuristics, eigenspace
recovery, numerical algorithms.},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_45.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_45.pdf}
}

@TECHREPORT{bdgl:09,
  AUTHOR = {M.~Baboulin and J.~Dongarra and S.~Gratton and J.~Langou},
  TITLE = {Computing the Conditioning of the Components of a Linear Least
Squares Solution},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/46},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Linear least squares}
}

@TECHREPORT{bagr:09,
  AUTHOR = {M.~Baboulin and S.~Gratton},
  TITLE = {Using dual techniques to derive componentwise and mixed condition numbers for a linear functional of a linear least squares solution},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/47},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Dual norm, adjoint operator, componentwise perturbations, condition number, linear least squares}
}

@TECHREPORT{gmst:09,
  AUTHOR = {M.~Mouffe and S.~Gratton and A.~Sartenaer and Ph.~L.~Toint and D.~Tomanos},
  TITLE = {Numerical Experience with a Recursive Trust-Region
Method for Multilevel Nonlinear Bound-Constrained
Optimization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/48},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Nonlinear optimization, bound-constrained problems, multilevel problems, simplified
models, recursive algorithms, numerical performance},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_48.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_48.pdf}
}

@TECHREPORT{avfa:09,
  AUTHOR = {Ph.~Avery and Ch.~Farhat},
  TITLE = {The {FETI} Family of Domain Decomposition Methods for
Inequality-Constrained
                   Quadratic Programming: Application to Contact Problems
with Conforming and
                   Nonconforming Interfaces},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/51},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Contact,
Domain decomposition,
FETI,
Quadratic programming.},
  NOTE = {Preliminary version of an article published in {Computer Methods in Applied Mechanics and Engineering}, vol. 198, number 21--26, pp 1673--1683},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_51.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_51.pdf}
}

@TECHREPORT{ghaf:09,
  AUTHOR = {D.~Ghosh and Ph.~Avery and Ch.~Farhat},
  TITLE = {A {FETI}-Preconditioned Congugate Gradient Method for
Large-Scale Stochastic
                   Finite Element Problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/52},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Domain decomposition, FETI, polynomial chaos, stochastic finite element, uncertainty},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_52.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_52.pdf}
}

@TECHREPORT{avfh:09,
  AUTHOR = {Ph.~Avery and Ch.~Farhat and U.~Hetmaniuk},
  TITLE = {A {P}adé-based factorization-free algorithm for
identifying the eigenvalues
                   missed by a generalized symmetric eigensolver},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/53},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Eigensolver, missed eigenvalue, Padé, Sturm sequence},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_53.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_53.pdf}
}

@TECHREPORT{duuc:09a,
  AUTHOR = {I.~S.~Duff and B.~Uçar},
  TITLE = {On the block triangular form of symmetric matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/57},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Sparse matrices, block triangular form, Dulmage-Mendelsohn decomposition, maximum cardinality matchings.},
  NOTE = {Revised and extended version of TR/PA/08/26},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_57.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_57.pdf}
}

@TECHREPORT{duuc:09b,
  AUTHOR = {I.~S.~Duff and B.~Uçar},
  TITLE = {Combinatorial problems in solving linear systems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/60},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Combinatorial scientific computing, graph theory, combinatorial optimization, sparse matrices, linear system solution.},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_60.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_60.pdf}
}

@TECHREPORT{dumi:09,
  AUTHOR = {I.~S.~Duff and D.~Mijuca},
  TITLE = {On accurate and time efficient solution of primal-mixed
           finite-element equations in multiscale solid mechanics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/67},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Solid mechanics, thermoelasticity, geometrically multiscale, primal--mixed finite element, reliable, sparse, indefinite, time efficient,
scaling, HSL, multifrontal method.},
  NOTE = {Also appeared as Report RAL-TR-2009-013},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_67.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_67.pdf}
}

@TECHREPORT{jiti:09,
  AUTHOR = {P.~Jiránek and D.~Titley-Peloquin},
  TITLE = {Estimating the minimal backward error in {LSQR}},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/77},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Linear least squares, iterative methods, large sparse matrix problems, stopping criteria, backward perturbation analysis.},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_77.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_77.pdf}
}

@TECHREPORT{grmt:09,
  AUTHOR = {S.~Gratton and M.~Mouffe and Ph.~L.~Toint},
  TITLE = {Stopping rules and backward error analysis for bound-constrained optimization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/95},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Nonlinear optimization, bound constraints,
stopping criterion, backward error, multicriteria optimization.},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_95.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_95.pdf}
}

@TECHREPORT{glst:09,
  AUTHOR = {S.~Gratton and P.~Laloyaux and A.~Sartenaer and J.~Tshimanga},
  TITLE = {A reduced and limited memory preconditioned approach for the 4DVar problem in data assimilation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/98},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Data assimilation, reduced 4DVar, seek filter, empirical orthogonal functions, limited memory preconditioner.},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_98.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_98.pdf}
}

@TECHREPORT{grst:09,
  AUTHOR = {S.~Gratton and A.~Sartenaer and J.~Tshimanga},
  TITLE = {On a class of limited memory preconditioners for large scale linear systems with multiple right hand sides},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/99},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Preconditioners, linear systems, conjugate gradient, limited memory.},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_99.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_99.pdf}
}

@TECHREPORT{fuch:09,
  AUTHOR = {M.~Fuchs},
  TITLE = {Simulation based uncertainty handling with polyhedral clouds},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/100},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Clouds, robust optimization, high-dimensional uncertainty handling, Cauchy deviates method, incomplete information.},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_100.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_100.pdf}
}

@TECHREPORT{ggpv:09,
  AUTHOR = {L.~Giraud and S.~Gratton and X.~Pinel and X.~Vasseur},
  TITLE = {Flexible {GMRES} with deflated restarting},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/111},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Krylov subspace methods, flexible preconditioning, deflation, implicit restarting.},
  NOTE = {Revised and extended version of TR/PA/08/128},
  PS = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_111.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_111.pdf}
}

@TECHREPORT{grto:09,
  AUTHOR = {S.~Gratton and Ph.~L.~Toint},
  TITLE = {Approximate Invariant Subspaces and Quasi-Newton Optimization Methods},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2009},
  NUMBER = {TR/PA/09/165},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Large-scale optimization, quasi-Newton methods, limited memory algorithms, discretized problems, multilevel optimization.},
  URL = {http://www.cerfacs.fr/algor/reports/2009/TR_PA_09_165.pdf}
}

@TECHREPORT{fune:10,
  AUTHOR = {M.~Fuchs and A.~Neumaier},
  TITLE = {A splitting technique for discrete search based on convex relaxation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/05},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {branching strategies, mixed integer programming, convex relaxation, minimum spanning tree, design optimization.},
  PS = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_05.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_05.pdf}
}

@TECHREPORT{cglv:10,
  AUTHOR = {L.~M.~Carvalho and S.~Gratton and R.~Lago and X.~Vasseur},
  TITLE = {A Flexible {G}eneralized {C}onjugate {R}esidual Method with Inner Orthogonalization and Deflated Restarting},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/10},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {flexible or inner-outer Krylov subspace methods, variable preconditioning, deflation},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_10.pdf}
}

@TECHREPORT{gudu:10,
  AUTHOR = {X.~Guo and I.~S.~Duff},
  TITLE = {Semilocal and global convergence of the {N}ewton-{HSS} method for systems of nonlinear equations},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/14},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {nonlinear systems, Newton's method, semilocal convergence, inexact Newton's method.},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_14.pdf}
}

@TECHREPORT{dofs:10,
  AUTHOR = {F.~Domes and M.~Fuchs and H.~Schichl},
  TITLE = {The Optimization Test Environment},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/15},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {test environment, optimization, solver benchmarking, solver comparison.},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_15.pdf}
}

@TECHREPORT{cach:10,
  AUTHOR = {C.~S.~Calude and F.~Chatelin},
  TITLE = {A dialogue about Qualitative Computing},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/37},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Qualitative computing.},
  NOTE = {To appear in Bull.EATCS,June 2010.},
  PS = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_37.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_37.pdf}
}

@TECHREPORT{chat:10,
  AUTHOR = {F.~Chatelin},
  TITLE = {A computational journey into nonlinearity},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/38},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Qualitative computing.},
  NOTE = {Abstract for invited talk  at Unconventional Computing 2010,Tokyo Univ.,21-25 June,2010.},
  PS = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_38.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_38.pdf}
}

@TECHREPORT{grjv:10,
  AUTHOR = {S.~Gratton and P.~Jiránek and X.~Vasseur},
  TITLE = {Minimizing the backward error in the energy norm with conjugate gradients},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/45},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Symmetric positive definite linear systems, conjugate gradient method, minimum backward perturbation.},
  PS = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_45.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_45.pdf}
}

@TECHREPORT{chat:10b,
  AUTHOR = {Fr.~Chatelin},
  TITLE = {Numerical information processing under the global rule expressed by the Euler-Riemann $\zeta$ function defined in the complex plane},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/49},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Information processing, $\zeta$ function, $\eta$ function, Euler's transformation, universality theorem of Voronin, critical line, Fourier transform.},
  PS = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_49.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_49.pdf}
}

@TECHREPORT{grts:10b,
  AUTHOR = {S.~Gratton and J.~Tshimanga},
  TITLE = {An observation-space formulation of variational assimilation using a restricted preconditioned conjugate gradient algorithm},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/50},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Reduced dimension, {4D-Var} minimization, conjugate gradient, limited memory.},
  PS = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_50.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_50.pdf}
}

@TECHREPORT{adrr:10,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and Y.~Robert and F.-H.~Rouet and B.~Uçar},
  TITLE = {On computing inverse entries of a sparse matrix in an out-of-core environment},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/59},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Sparse matrices, direct methods for linear systems and matrix inversion, multifrontal method, graphs and hypergraphs.},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_59.pdf}
}

@TECHREPORT{grtt:10,
  AUTHOR = {S.~Gratton and Ph.~L.~Toint and A.~Troeltzsch},
  TITLE = {An active-set trust-region method for derivative-free nonlinear bound-constrained optimization},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/70},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Derivative-free optimization, bound constraints, nonlinear optimization, active-set methods, trust region, numerical experiments.},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_70.pdf}
}

@TECHREPORT{duku:10,
  AUTHOR = {I.~S.~Duff and K.~Kaya and B.~Ucar},
  TITLE = {Design, Implementation, and Analysis of Maximum Transversal Algorithms},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/76},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Bipartite graphs, matching, breadth first search, depth first search, graph theory, matrix transversals, assignment.},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_76.pdf}
}

@TECHREPORT{fune:10b,
  AUTHOR = {M.~Fuchs and A.~Neumaier},
  TITLE = {Optimization in latent class analysis},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/89},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Latent class analysis, global optimization, clustering.},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_89.pdf}
}

@TECHREPORT{duka:10,
  AUTHOR = {I.~S.~Duff and K.~Kaya},
  TITLE = {Preconditioners based on Strong Components},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/97},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Sparse matrices, preconditioning, strong components.},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_97.pdf}
}

@TECHREPORT{chat:10c,
  AUTHOR = {F.~Chatelin},
  TITLE = {A computational journey into nonlinearity},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/109},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Beyond commutativity and associativity, clash between local \/ global viewpoints, computing paradoxes, dynamics of complexification, organic logic, Qualitative Computing, Reason, simplexity, special relativity.},
  NOTE = {The report TR/PA/10/38 under the same title represents an extended abstract for the present full report.},
  PS = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_109.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_109.pdf}
}

@TECHREPORT{grgt:10,
  AUTHOR = {S.~Gratton and S.~Gurol and Ph. L.~Toint },
  TITLE = {Preconditioning and Globalizing Conjugate Gradients in Dual Space for
         Quadratically Penalized Nonlinear-Least Squares Problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/136},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Data assimilation, dual-space minimization,
    preconditioning, conjugate-gradient methods, globalization, trust-region
    methods},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_136.pdf}
}

@TECHREPORT{grtt:10b,
  AUTHOR = {S.~Gratton and Ph.~L.~Toint and J.~Tshimanga },
  TITLE = {Range-space variants and inexact matrix-vector products in {K}rylov solvers for linear systems arising from inverse problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2010},
  NUMBER = {TR/PA/10/141},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Krylov methods, linear systems, inexact matrix-vector products, data
assimilation.},
  URL = {http://www.cerfacs.fr/algor/reports/2010/TR_PA_10_141.pdf}
}

@TECHREPORT{kauc:11,
  AUTHOR = {K.~Kaya and B. ~Uçar},
  TITLE = {Constructing Elimination Trees for Sparse Unsymmetric Matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/13},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Elimination trees, unsymmetric matrices, strongly connected componen ar},
  TITLE = {Constructing Elimination Trees for Sparse Unsymmetric Matrices},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/13},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Elimination trees, unsymmetric matrices, strongly connected components},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_13.pdf}
}

@TECHREPORT{clgp:11,
  AUTHOR = {H~.Calandra and J.~Langou and S.~Gratton and X.~Pinel and X.~Vasseur},
  TITLE = {Flexible variants of block restarted {GMRES} methods with application to geophysics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/14},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Block Krylov space method, Block size reduction, Deflation, Flexible preconditioning, Multiple right-hand sides.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_14.pdf}
}

@TECHREPORT{grts:11,
  AUTHOR = {S.~Gratton and J.~Tshimanga},
  TITLE = {The exact condition number of the truncated singular value solution of a linear ill-posed problem},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/18},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Truncated singular value decomposition, condition number estimation, Fr\'echet derivative, least squares solution, perturbation theory.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_18.pdf}
}

@TECHREPORT{grjt:11,
  AUTHOR = {S.~Gratton and P.~Jiránek and D.~Titley-Peloquin},
  TITLE = {{O}n the accuracy of the {K}arlson-{W}aldén's estimate of the backward error for linear least squares problems},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/19},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Linear least squares problems, backward error.},
  PS = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_19.ps.gz},
  PDF = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_19.pdf}
}

@TECHREPORT{mfvg:11,
  AUTHOR = {A.~Mucherino and M.~Fuchs and X.~Vasseur and S.~Gratton},
  TITLE = {Variable neighborhood search for robust optimization and applications to aerodynamics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/25},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Robust optimization, heuristics, VNS, aerodynamics.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_25.pdf}
}

@TECHREPORT{cglv:11,
  AUTHOR = {L.~M.~Carvalho and S.~Gratton and R.~Lago and X.~Vasseur},
  TITLE = {A Flexible {G}eneralized {C}onjugate {R}esidual Method with Inner Orthogonalization and Deflated Restarting},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/26},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {flexible or inner-outer Krylov subspace methods, variable preconditioning, deflation},
  NOTE = {Revised version of CERFACS Technical Report TR/PA/10/10},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_26.pdf}
}

@TECHREPORT{chat:11,
  AUTHOR = {F.~Chatelin},
  TITLE = {Polymorphic Information Processing in weaving computation: An approach through cloth geometry},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/27},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Relator, noncommutativity, nonassociativity, induced addition, organ, metric cloth, weaving Information Processing, cloth geometry, hyperbolic geometry, Special Relativity, liaison, metric entanglement, homotopic link, action at distance, quantisation.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_27.pdf}
}

@TECHREPORT{klmb:11,
  AUTHOR = {K.~Kaya and J. ~Langguth and F. ~Manne and B. ~Uçar},
  TITLE = {Experiments on Push-Relabel-based Maximum Cardinality Matching Algorithms for Bipartite Graphs},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/33},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Bipartite graphs, matching, push-relabel based algorithms.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_33.pdf}
}

@TECHREPORT{chat:11b,
  AUTHOR = {F.~Chatelin},
  TITLE = {On Relating Computation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/37},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Einstein, Poincaré, Fourier, noncommutative +, nonassociative x, quaternions, octonions, sedenions, relativity, causal space, logistic iteration.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_37.pdf}
}

@TECHREPORT{chat:11c,
  AUTHOR = {F.~Chatelin},
  TITLE = {An Invitation to Qualitative Computing},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/38},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Qualitative computing, numeracy, irrational, complex, zero, actual infinity, hypercomplex numbers, numerical linear algebra, backward analysis test.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_38.pdf}
}

@TECHREPORT{chat:11d,
  AUTHOR = {F.~Chatelin},
  TITLE = {A computational journey into the mind},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/66},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {beyond commutativity or associativity, clash between local/global
viewpoints, computing paradoxes, dynamics of complexification, organic logic,
Qualitative Computing, Reason, simplexity, special relativity.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_66.pdf}
}

@TECHREPORT{cglp:11b,
  AUTHOR = {H~.Calandra and S.~Gratton and R.~Lago and X.~Pinel and X.~Vasseur},
  TITLE = {Two-level preconditioned {K}rylov subspace methods for the solution of three-dimensional heterogeneous {H}elmholtz problems in seismics},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/80},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Flexible Krylov subspace methods, Helmholtz equation, Inexact preconditioning, Inhomogeneous media.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_80.pdf}
}

@TECHREPORT{duff:11,
  AUTHOR = {I.~Duff},
  TITLE = {European exascale software initiative: numerical libraries, solvers and algorithms},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/118},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {High performance computing, Exascale, numerical software, mathematical software libraries, fault tolerance, co-design centres, EESI, IESP.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_118.pdf}
}

@TECHREPORT{chat:11e,
  AUTHOR = {F.~Chatelin},
  TITLE = {About weaving computation in $2$ and $3$ real dimensions},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/119},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Complex numbers, quaternions, derivations, internalisations, weaving computation,
 organ, cloth, conjugator, commutator, relativity, conformality, natural logic for life evaluation.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_119.pdf}
}

@TECHREPORT{grtt:11,
  AUTHOR = {S.~Gratton and Ph.~L.~Toint and A.~Troeltzsch},
  TITLE = {How much gradient noise does a gradient-based linesearch method tolerate?},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {TR/PA/11/126},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {gradient noise, linesearch method, quasi-Newton method, global convergence.},
  URL = {http://www.cerfacs.fr/algor/reports/2011/TR_PA_11_126.pdf}
}

@TECHREPORT{grtt:11b,
  AUTHOR = {S.~Gratton and Ph.~L.~Toint and A.~Troeltzsch},
  TITLE = {Hybrid Optimization Algorithms},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2011},
  NUMBER = {CR/PA/11/127},
  TYPE = {{C}ontract {R}eport},
  KEYWORDS = {Hybrid optimization, derivative-free optimization, gradient-based optimization, bound constraints.}
}

@TECHREPORT{cgpv:12,
  AUTHOR = {H~.Calandra and S.~Gratton and X.~Pinel and X.~Vasseur},
  TITLE = {An improved two-grid preconditioner for the solution of three-dimensional {H}elmholtz problems in heterogeneous media},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2012},
  NUMBER = {TR/PA/12/2},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Complex shifted Laplacian preconditioner; Flexible Krylov subspace methods; Helmholtz equation; Heterogeneous media; Variable preconditioning.},
  URL = {http://www.cerfacs.fr/algor/reports/2012/TR_PA_12_2.pdf}
}

@TECHREPORT{grjv:12,
  AUTHOR = {S.~Gratton and P.~Jiránek and X.~Vasseur},
  TITLE = {Energy backward error: interpretation in numerical solution of elliptic partial differential equations and convergence of the conjugate gradient method},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2012},
  NUMBER = {TR/PA/12/3},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Symmetric positive definite linear systems, elliptic problems, conjugate gradient method, backward error},
  URL = {http://www.cerfacs.fr/algor/reports/2012/TR_PA_12_3.pdf}
}

@TECHREPORT{chat:12,
  AUTHOR = {F.~Chatelin},
  TITLE = {Computation in Mind},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2012},
  NUMBER = {TR/PA/12/15},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Mind, body, matter, mathematical computation, scalar, vector, matrix, multiplication, addition, commutativity, associativity, eigenvalues, singular values.},
  URL = {http://www.cerfacs.fr/algor/reports/2012/TR_PA_12_15.pdf}
}

@TECHREPORT{dgv:12,
  AUTHOR = {Y~.Diouane and S.~Gratton and L~.N~.Vicente},
  TITLE = {Globally Convergent Evolution Strategies and CMA-ES},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2012},
  NUMBER = {TR/PA/12/16},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Evolution strategy, global convergence, sufficient decrease, covariance matrix adaptation~(CMA).},
  URL = {http://www.cerfacs.fr/algor/reports/2012/TR_PA_12_16.pdf}
}

@TECHREPORT{cglv:12,
  AUTHOR = {H. Calandra and S. Gratton and R. Lago and X. Vasseur and L.~.M. Carvalho},
  TITLE = {A deflated minimal block residual method for the solution of non-hermitian linear systems with multiple right-hand sides},
  INSTITUTION = {CERFACS},
  YEAR = {2012},
  NUMBER = {TR/PA/12/45},
  TYPE = {{T}echnical {R}eport},
  URL = {http://www.cerfacs.fr/algor/reports/2012/TR_PA_12_45.pdf}
}

@TECHREPORT{cgpv:12b,
  AUTHOR = {H~.Calandra and S.~Gratton and X.~Pinel and X.~Vasseur},
  TITLE = {An improved two-grid preconditioner for the solution of three-dimensional {H}elmholtz problems in heterogeneous media},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2012},
  NUMBER = {TR/PA/12/54},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Complex shifted Laplacian preconditioner; Flexible Krylov subspace methods; Helmholtz equation; Heterogeneous media; Variable preconditioning.},
  URL = {http://www.cerfacs.fr/algor/reports/2012/TR_PA_12_54.pdf},
  NOTE = {Revised version of TR/PA/12/2},
  URL = {http://www.cerfacs.fr/algor/reports/2012/TR_PA_12_54.pdf}
}

@TECHREPORT{ader:12,
  AUTHOR = {P.~R.~Amestoy and I.~S.~Duff and J.~Y.~L'Excellent and F.-H.~Rouet},
  TITLE = {Parallel computation of entries of $A^{-1}$ },
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2012},
  NUMBER = {TR/PA/12/116},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {Graph theory, direct methods.},
  URL = {http://www.cerfacs.fr/algor/reports/2012/TR_PA_12_116.pdf}
}

@TECHREPORT{gwmaag:12,
  AUTHOR = {S.~Gurol and A. T.~Weaver and A. M.~Moore and A.~Piacentini and  H. G.~Arango and S.~Gratton},
  TITLE = {${B}$-Preconditioned Minimization Algorithms with the Dual Formulation},
  INSTITUTION = {CERFACS, Toulouse, France},
  YEAR = {2012},
  NUMBER = {TR/PA/12/118},
  TYPE = {{T}echnical {R}eport},
  KEYWORDS = {3D-Var, 4D-Var, PSAS, conjugate gradient method, Lanczos method, dual approach, ocean data assimilation.},
  URL = {http://www.cerfacs.fr/algor/reports/2012/TR_PA_12_118.pdf}
}


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