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[1]
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The Parallel Algorithms Project.
Scientific Report for 2003.
Technical Report TR/PA/03/135,
Keywords: No keywords
supplied.
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[2]
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S. Riyavong.
Experiments on parallel matrix-vector product.
Working Notes WN/PA/03/127,
Keywords: parallel
matrix-vector product, parallel GMRES method, data structure.
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[3]
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F. Chaitin-Chatelin.
Computing beyond analyticity. Matrix algorithms in Inexact
and Uncertain computing.
Technical Report TR/PA/03/110,
Keywords:
Sherman-Morrison formula, Jordan structure, kernel point, critical
point, Ritz value, eigenprojection, backward analysis, Inexact
Computing, Uncertain Computing.
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[4]
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I. S. Duff, L. Giraud, J. Langou, and E. Martin.
Using spectral low rank preconditioners for large
electromagnetic calculations.
Technical Report TR/PA/03/95,
Keywords: electromagnetic
scattering problems, large dense complex linear systems, Frobenius-norm
minimization preconditioner, spectral low rank update preconditioner.
Preliminary version of the article published in IJNME, vol. 62,
nber 3, pp 416-434.
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[5]
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B. Carpentieri, I. S. Duff, L. Giraud, and G. Sylvand.
Combining fast multipole techniques and an approximate inverse
preconditioner for large parallel electromagnetics calculations.
Technical Report 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.
Preliminary version of the article published in SISC, vol. 27, nber
3, pp 774-792.
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[6]
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G. Alléon, B. Carpentieri, I. S. Duff, L. Giraud, J. Langou, E. Martin,
and G. Sylvand.
Efficient parallel iterative solvers for the solution of large
dense linear systems arising from the boundary element method in
electromagnetism.
Technical Report 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.
Preliminary version of the paper published electronically in the
proceedings of the international conference on supercomputing in nuclear
application, Paris, 2003.
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[7]
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F. Chaitin-Chatelin.
Elements of Hypercomputations on R and
Z2 with the Dickson-Albert inductive process.
Technical Report TR/PA/03/34,
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, Pythagorean triples.
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[8]
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S. Riyavong.
Experiments on sparse matrix partitioning.
Working Notes WN/PA/03/32,
Keywords: sparse matrix,
matrix-vector multiplication, matrix partitioning.
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[9]
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H. C. Elman, D. Loghin, and A. J. Wathen.
Preconditioning techniques for Newton's method for the
incompressible Navier-Stokes equations.
Technical Report TR/PA/03/31,
Keywords: Block
preconditioners, Navier-Stokes, Newton's method.
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[10]
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J. van den Eshof, G. L. G. Sleijpen, and M .B. van Gijzen.
Relaxation strategies for nested Krylov methods.
Technical Report TR/PA/03/27,
Keywords: Iterative
solution of linear systems, flexible Krylov methods, relaxation strategies,
Schur complement, ocean circulation.
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[11]
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L. Giraud, J. Langou, and M. Rozlozník.
On the loss of orthogonality in the Gram-Schmidt
orthogonalization process.
Technical Report TR/PA/03/25,
Keywords: Gram-Schmidt
orthogonalization, Arnoldi process, Krylov subspace, GMRES.
Preliminary version of the paper published in Computer and
Mathematics with Applications, vol. 50, pp 1069-1075, 2005.
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[12]
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M. Arioli, D. Loghin, and A. J. Wathen.
Stopping criteria for iterations in finite element methods.
Technical Report TR/PA/03/21,
Keywords: No keywords
supplied,
Preliminary versin of an article published in Numerische
Mathematik, vol. 99, issue 2, pp 381-410, 2005.
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[13]
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F. Chaitin-Chatelin.
The Arnoldi method in the light of Homotopic Deviation
theory.
Technical Report TR/PA/03/15,
Keywords: Homotopic
Deviation, critical point, kernel point, Hessenberg form, irreductible,
derogatory, incomplete Arnoldi decomposition, Arnoldi residual, restarted
Arnoldi, inner-outer iterations.
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[14]
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P. R. Amestoy, I. S. Duff, J. Y. L'Excellent, and X. S. Li.
Impact of the implementation of MPI point-to-point
communications on the performance of two general sparse solvers.
Technical Report TR/PA/03/14,
Keywords: No keywords
supplied,
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.
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[15]
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L. Giraud, S. Gratton, and J. Langou.
A reorthogonalization procedure for modified Gram-Schmidt
algorithm based on a rank-k update.
Technical Report TR/PA/03/11,
Keywords: modified
Gram-Schmidt algorithm, rank interpretation, reorthogonalization a
posteriori, Seed GMRES algorithm.
Preliminary version of the paper published in SIMAX, vol. 25 (4),
p. 1163-1177, 2004.
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[16]
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M. B. van Gijzen.
Two level parallelism in a stream-function model for global
ocean circulation.
Technical Report TR/PA/03/09,
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.
Preliminary version of the paper published in the proceedings of
Euro-Par2003, Lecture Notes in Computer Science 2790, pp. 820-829, 2003.
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[17]
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F. Chaitin-Chatelin.
On a recursive hierarchy for numbers algorithmically emerging
from processing binary sequences.
Technical Report TR/PA/03/08,
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.
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[18]
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P. Amestoy, I. S. Duff, S. Pralet, and C. Vömel.
Adapting a parallel sparse direct solver to SMP
architectures.
Technical Report TR/PA/03/05,
Keywords: Sparse linear
systems, MUMPS, distributed memory algorithms, task scheduling, dynamic
scheduling.
Preliminary version of the article published in Parallel Computing,
special issue on Parallel and Distributed Scientific and Engineering
Computing, vol. 29, nber 11-12, pp 1645-1668, 2003.
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[19]
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F. Chaitin-Chatelin and M. B. van Gijzen.
Homotopic deviation: an example in acoustics.
Technical Report TR/PA/03/04,
Keywords: Acoustic wave
equation, pressure release, impeding boundary, impedance, Homotopic
Deviation, critical point, kernel point, quadratic eigenproblem.
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[20]
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V. Frayssé, L. Giraud, S. Gratton, and J. Langou.
A set of GMRES routines for real and complex arithmetics on
high performance computers.
Technical Report TR/PA/03/03,
Keywords: linear systems,
Krylov methods, GMRES, reverse communication, distributed memory.
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