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[1]
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S. Leblond.
Two direct methods for large sparse problems: Multifrontal
massively parallel solver (MUMPS) and fast parallel direct solver for
coarse grid problems (H. TUFO).
Technical Report WN/PA/00/105,
Keywords: No keywords
supplied.
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[2]
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F. Guevara Vasquez.
Internship report on domain decomposition methods for the
solution of partial differential equations.
Technical Report TR/PA/00/98,
Keywords: No keywords
supplied.
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[3]
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P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and X. S. Li.
Performance and tuning of two distributed memory sparse
solvers.
Technical Report TR/PA/00/91,
Keywords: sparse linear
systems, distributed memory codes, multifrontal, supernodal, direct methods,
comparison of codes.
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.
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[4]
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P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and X. S. Li.
Analysis and comparison of two general sparse solvers for
distributed memory computers.
Technical Report TR/PA/00/90,
Keywords: sparse linear
systems, distributed memory codes, multifrontal, supernodal, direct methods,
comparison of codes.
Preliminary version of the article published in ACM Trans.
Math. Softw., (2001), 27-4, pp. 1-33.
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[5]
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I. S. Duff and C. Vömel.
Incremental Norm Estimation for Dense and Sparse
Matrices.
Technical Report TR/PA/00/83,
Keywords: matrix norm,
condition number, incremental estimators, approximate singular vectors,
sparse triangular matrices, QR factorization, rank-revealing.
Preliminary version of the article published in BIT, Numerical
Mathematics, Volume 42, Issue 2 (June 2002), pp. 300-322.
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[6]
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I. S. Duff, C. Vömel, and M. Youan.
Implementing the Sparse BLAS in Fortran 95.
Technical Report TR/PA/00/82,
Keywords: unstructured sparse
matrices, sparse data structures, programming standard, iterative linear
solvers, BLAS, Sparse BLAS.
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[7]
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T. Meskauskas, P. Caminal, and A. Bayes de Luna.
Calculation of 1/ f noise indexes from electrocardiogram data
in detection of cardiac illness.
Technical Report TR/PA/00/81,
Keywords: Electrocardiogram
(ECG), ECG processing, 1/ f noise, spectral analysis, chaos theory.
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[8]
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A. N. Zaoui and E. Traviesas.
Sur la fiabilité et la robustesse du code isabel.
Technical Report TR/PA/00/76,
Keywords: Méthode
d'Arnoldi-Bloc, méthode des Itérations
Simultanées, valeurs propres, critères de convergence,
arithmétique exacte, précision finie.
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[9]
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F. Chaitin-Chatelin, T. Meskauskas, and A. N. Zaoui.
About real and binary algebras: the interplay between geometry
and algebra.
Technical Report TR/PA/00/74,
Keywords: hypercomplex
numbers, hypercomplex algebras, quaternions, octonions, division algebra,
composition algebra, geometry, four-color theorem.
BibTeX entry,
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[10]
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P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and X. S. Li.
Analysis, tuning and comparison of two general sparse solvers
for distributed memory computers.
Technical Report TR/PA/00/72,
Keywords: Sparse linear
systems, distributed memory codes, multifrontal, supernodal, direct methods,
comparison of codes.
Preliminary version of the article published in ACM Trans.
Math. Softw., vol. 27, pp 338-421.
BibTeX entry,
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[11]
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T. Meskauskas and F. Ivanauskas.
Initial boundary-value problems for derivative nonlinear
schrödinger equation. justification of two-step algorithm.
Technical Report TR/PA/00/70,
Keywords: Derivative
nonlinear Schrodinger equation, initial boundary-value problem, Backlund
transformations, Crank-Nicolson finite difference scheme, convergence and
stability of difference schemes.
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[12]
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F. Chaitin-Chatelin, T. Meskauskas, and A. N. Zaoui.
Computation with hypercomplex numbers.
Technical Report TR/PA/00/69,
Keywords: hypercomplex
numbers, quaternions, octonions, division algebra, Nature's computation,
logistic iteration, Mandelbrot set.
Preliminary version of the article published in the Proceedings of
3rd World Congress of Nonlinear Analysis, vol. 47, pp. 3391-3400, 2001.
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[13]
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N. I. M. Gould, D. Orban, A. Sartenaer, and Ph. L. Toint.
High Rates of Convergence of Primal-Dual Interior Point
Algorithms for Nonlinear Programming.
Technical Report TR/PA/00/63,
Keywords: primal-dual
interior-point method, componentwise convergence.
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[14]
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L. Plantié.
The boundary layer problem of triple deck type.
Technical Report TR/PA/00/61,
Keywords: Boundary layer,
triple deck, semi-discretization, existence, asymptotic behaviour.
Also in Proceedings of the Second Conference on Numerical Analysis
and Applications, Rousse, Bulgaria, Springer Verlag, pp 675-683.
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[15]
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M. Rojas and D. C. Sorensen.
A trust-region approach to the regularization of large-scale
discrete ill-posed problems.
Technical Report TR/PA/00/57,
Keywords: regularization,
constrained quadratic optimization, trust region, Lanczos method, ill-posed
problems, inverse problems, seismic inversion.
Preliminary version of the article published in SIAM Journal on
Scientific Computing, vol. 26, nber 3, pp 1843-1861, 2002.
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[16]
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N. I. M. Gould, D. Orban, A. Sartenaer, and Ph. L. Toint.
Componentwise fast convergence in the solution of full-rank
systems of nonlinear equations.
Technical Report TR/PA/00/56,
Keywords: nonlinear systems
of equations, path-following methods, componentwise Q-superlinear
convergence.
Preliminary version of the article published in Mathematical
Programming Serie B, vol. 92. nber 3, pp. 481-508, 2002.
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[17]
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F. Chaitin-Chatelin, S. Dallakyan, and V. Frayssé.
GPS Carrier Phase Ambiguity Resolution with the
LAMBDA method: 1. a stability analysis 2. an exponential speed-up.
Contract Report CR/PA/00/52,
Keywords: GPS, integer
ambiguities, LAMBDA method.
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[18]
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V. Frayssé and L. Giraud.
A set of conjugate gradient routines for real and complex
arithmetics.
Technical Report TR/PA/00/47,
Keywords: linear systems,
Krylov methods, CG, reverse communication, distributed memory.
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[19]
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L. Plantié.
A semi-discrete problem for the boundary layer of triple deck
type (part 2).
Technical Report TR/PA/00/46,
Keywords: Boundary layer,
triple deck, semi-discretization, existence, asymptotic behaviour,
uniqueness.
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[20]
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L. Plantié.
A semi-discrete problem for the boundary layer of triple deck
type (part 1).
Technical Report TR/PA/00/45,
Keywords: Boundary layer,
triple deck, semi-discretization, existence, asymptotic behaviour,
uniqueness.
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[21]
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F. Chaitin-Chatelin, E. Traviesas, and L. Plantié.
Understanding Krylov methods in finite precision.
Technical Report TR/PA/00/40,
Keywords: Eigenvalues,
Krylov subspace, Arnoldi method, Happy Breackdown, finite precision,
backward error, homotopic perturbations.
Preliminary version of the article published in L. Vulkov et
al. (eds), Proceedings of NAA 2000, pp 187-197, Springer Verlag LNCS,
vol. 1988, 2000.
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[22]
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N. I. M. Gould, D. Orban, A. Sartenaer, and Ph. L. Toint.
Superlinear convergence of primal-dual interior point
algorithms for nonlinear programming.
Technical Report TR/PA/00/20,
Keywords: primal-dual
interior point method, componentwise Q-superlinear convergence.
Preliminary version of the article published in SIAM J.
Optimization, (2001), 11-4, pp 974-1002.
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[23]
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A. Bouras, F. Chaitin-Chatelin, and V. Frayssé.
Solveurs itératifs imbriqués.
Contract Report FR/PA/00/19,
Keywords: inner-outer
iterations, Krylov methods, linear systems, eigenproblems, domain
decomposition methods, inexact methods.
BibTeX entry
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[24]
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I. S. Duff and C. Vömel.
Level 2 and Level 3 Basic Linear Algebra Subprograms for
Sparse Matrices: A Fortran 95 instantiation.
Technical Report TR/PA/00/18,
Keywords: unstructured
sparse matrices, sparse data structures, programming standard, iterative
linear solvers, BLAS, SparseBLAS.
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[25]
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A. Bouras, V. Frayssé, and L. Giraud.
A relaxation strategy for inner-outer linear solvers in domain
decomposition methods.
Technical Report TR/PA/00/17,
Keywords: domain
decomposition linear systems, iterative methods, inner-outer iterations.
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[26]
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A. Bouras and V. Frayssé.
A relaxation strategy for the Arnoldi method in
eigenproblems.
Technical Report TR/PA/00/16,
Keywords: eigenvalue,
iterative method, Krylov methods, inner-outer iterations.
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[27]
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A. Bouras and V. Frayssé.
A relaxation strategy for inexact matrix-vector products for
Krylov methods.
Technical Report TR/PA/00/15,
Keywords: linear systems,
iterative methods, Krylov methods, inner-outer iterations.
Submitted to SIAM Journal in Matrix Analysis and Applications.
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[28]
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A. N. Zaoui and E. Traviesas.
The hybrid eigensolver ISA to compute the r
eigenvalues closest to a given complex point : A qualitative study.
Technical Report TR/PA/00/13,
Keywords: Hybrid eigensolver,
block Arnoldi method, Subspace Iterations method, spectral
transformation, numerical quality.
16th IMACS World Congress, Lausanne, Switzerland.
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[29]
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F. Chaitin-Chatelin and E. Traviesas.
PRECISE, a toolbox for assessing the quality of numerical
methods and software.
Technical Report TR/PA/00/12,
Keywords: Recommender
systems, backward-error analysis, condition, reliability, sensitivity
analysis.
Proceedings of the 16th IMACS World Congress, Lausanne,
Switzerland.
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[30]
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F. Chaitin-Chatelin.
Comprendre les méthodes de Krylov en précision
finie : le programme du Groupe Qualitative Computing au CERFACS.
Technical Report TR/PA/00/11,
Keywords: Algorithme
d'Arnoldi de base, calcul inexact, perturbations homotopiques, solveurs
emboités, arręt heureux, erreur inverse, erreur de méthode.
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[31]
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The Parallel Algorithms Project.
Scientific Report for 1999 (with images).
Technical Report TR/PA/00/0b,
Keywords: No keywords
supplied.
BibTeX entry,
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[32]
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The Parallel Algorithms Project.
Scientific Report for 1999 (without images).
Technical Report TR/PA/00/0a,
Keywords: No keywords
supplied.
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[33]
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S. Dallakyan.
A note on the visualization of multiparametric bifurcations.
Technical Report TR/PA/00/07,
Keywords: No keywords
supplied,
Preliminary version of the article published in Computers &
Graphics, vol. 24, nber 2, pp 269-270, 2000.
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[34]
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S. K. Dallakyan, N. S. Ananikian, and R. G. Ghulghazaryan.
Thermodynamic chaos and infinitely many critical exponents in
the baxter-wu model.
Technical Report TR/PA/00/06,
Keywords: No keywords
supplied,
Submitted for publication to Physica D, cond-mat/9909289.
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[35]
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B. Carpentieri, I. S. Duff, and L. Giraud.
Sparse pattern selection strategies for robust
Frobenius-norm minimization preconditioners in electromagnetism.
Technical Report TR/PA/00/05,
Keywords: Preconditioning
techniques, Frobenius-norm minimization method, nonzero pattern selection
strategies, electromagnetic scattering applications.
Also Technical Report RAL-TR-2000-009. Preliminary version of
the article published in Numerical Linear Algebra with Applications,
vol. 7, nber 7-8, pp 667-685.
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[36]
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B. Carpentieri, I. S. Duff, and L. Giraud.
Experiments with sparse preconditioning of dense problems from
electromagnetic applications.
Technical Report TR/PA/00/04,
Keywords: Krylov subspaces
methods, preconditioning techniques, sparse approximate inverse,
electromagnetic scattering, boundary element method.
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