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[1]
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F. Chaitin-Chatelin, S. Dallakyan, and V. Frayssé.
An overview of Carrier Phase Differential GPS.
Contract Report IR/PA/99/50, Keywords: GPS, integer
ambiguities.
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[2]
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L. M. Carvalho, L. Giraud, and G. Meurant.
Local preconditioners for two-level non-overlapping domain
decomposition methods.
Tech. Rep. TR/PA/99/38, Keywords: Domain decomposition,
two-level preconditioning, Schur complement, parallel distributed
computing, elliptic partial differential equations, parabolic partial
differential equations.
Preliminary version of the article published in Numerical Linear
Algebra with Applications, vol. 8, nber 4, pp 207-227, 2001.
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[3]
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S. J. Wright and D. Orban.
Properties of the log-barrier function on degenerate nonlinear
programs.
Technical Report TR/PA/99/36, Keywords: Barrier function,
nonlinear programming, Mangasarian- Fromovitz condition, degenerate
problems.
Preliminary version of the article published in Mathematics of
Operations Research, vol. 27, nber 3, pp 585-613, 2002.
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[4]
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A. Bouras, F. Chaitin-Chatelin, V. Frayssé, and A. Ilahi.
Nouvelles analyses de la méthode de la puissance.
partie 1 : Etude asymptotique générale.
Technical Report TR/PA/99/35, Keywords: Eigenvalue,
eigenvector, power method convergence, multiple eigenvalue.
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[5]
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P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and J. Koster.
A fully asynchronous multifrontal solver using distributed
dynamic scheduling.
Technical Report TR/PA/99/28, Keywords: MPI, distributed
memory architecture, sparse matrices, multifrontal direct methods.
Preliminary version of the article published in SIMAX, vol. 23,
nber 1, pp 15-41, 2001.
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[6]
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A. R. Conn, N. I. M. Gould, D. Orban, and Ph. L. Toint.
A Primal-Dual Trust-Region Algorithm for Non-Convex Nonlinear
Programming.
Technical Report TR/PA/99/27, Keywords: Nonlinear
constrained programming,interior point methods, primal-dual methods, trust
regions, logarithmic barrier.
Published in Mathematical Programming Davidon Festschrift Online
First, DOI 10.1007/s101070000144, March 15, 2000.
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[7]
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F. Chaitin-Chatelin.
The computing power of Geometry.
Technical Report TR/PA/99/24, Keywords: Real numbers,
complex numbers, quaternions, octonions, Nature's computation, powers of
hypercomplex numbers.
Preliminary version of the article published in D.F.
Griffiths et al. (eds), Proceedings of Numerical Analysis 1999, pp
83-92, CRC Press LLC, 1999.
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[8]
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F. Chaitin-Chatelin, S. Dallakyan, and V. Frayssé.
On the GPS Carrier Phase Ambiguity Resolution. The LAMBDA
method: an analysis of speed, efficiency and numerical robustness.
Contract Report IR/PA/99/23, Keywords: No keywords supplied.
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[9]
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F. Chaitin-Chatelin.
Le Sens de la Vie.
Technical Report TR/PA/99/20, 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.
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[10]
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F. Chaitin-Chatelin, A. Harrabi, and A. Ilahi.
About Hölder condition numbers and the stratification
diagram for defective eigenvalues.
Technical Report TR/PA/99/19, Keywords: multiple
defective eigenvalue, index, Hölder condition number, Frechet and
Gateaux derivatives, exact arithmetic, finite precision arithmetic,
stratification associated with the commutator AX-XA.
Preliminary version of the proceedings Mathematics and Computers in
Simulation, vol. 54, pp 397-402.
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[11]
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The Parallel Algorithms Project.
Scientific Report for 1998.
Technical Report TR/PA/99/16, Keywords: No keywords
supplied.
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[12]
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V. Toumazou and E. Traviesas.
A note on homotopic backward error and pseudospectra for the
generalized eigenproblem.
Technical Report TR/PA/99/14, Keywords: Generalized
eigenproblem, normwise and homotopic perturbations, backward error and
pseudospectra.
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[13]
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I. S. Duff.
A brief bibliography of recent research and software for the
parallel solution of large sparse linear equations.
Technical Report TR/PA/99/12, Keywords: Sparse linear
systems, sparse least squares, sparse normal equations, mixed model
equations, BLUP, cattle breeding, iterative methods, direct methods,
preconditioning, block iterative methods.
Preliminary version of proceedings of the Computational Cattle
Breeding '99 Workshop.
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[14]
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I. S. Duff and H. A. van der Vorst.
Developments and trends in the parallel solution in linear
systems.
Technical Report TR/PA/99/10, Keywords: linear systems,
dense matrices, sparse matrices, tridiagonal systems, parallelism, direct
methods, iterative methods, Krylov methods, preconditionning.
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[15]
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S. Gratton, V. Frayssé, and V. Toumazou.
Structured backward error and condition number for linear
systems of the type A*A x = b.
Technical Report TR/PA/99/05, Keywords: structured
perturbations, condition number, backward error, linear systems.
Preliminary version of the article published in BIT, vol. 40, nber
1, pp 74-83.
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[16]
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L. M. Carvalho and L. Giraud.
Parallel subdomain-based preconditioner for the Schur
complement.
Technical Report TR/PA/99/04, Keywords: No keywords
supplied, Preliminary version of the proceedings EUROPAR'99 Parallel
Processing, 1999.
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[17]
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F. Chaitin-Chatelin, V. Toumazou, and E. Traviesas.
Accuracy assessment for eigencomputations : variety of
backward errors and pseudospectra.
Technical Report TR/PA/99/03, Keywords: Stability analysis,
eigencomputations, backward error, normwise perturbation, homotopic
perturbation, pseudospectrum.
Preliminary version of the article published in Linear Algebra with
its Applications, vol 309, p. 73-83.
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