| [1] |
The Parallel Algorithms Project.
Scientific Report for 2003. Technical Report TR/PA/03/135, Keywords: No keywords supplied. BibTeX entry, Compressed PS, PDF |
| [2] |
S. Riyavong.
Experiments on parallel matrix-vector product. Working Notes WN/PA/03/127, Keywords: parallel matrix-vector product, parallel GMRES method, data structure. BibTeX entry, Compressed PS, PDF |
| [3] |
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. BibTeX entry, Compressed PS, PDF |
| [4] |
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. BibTeX entry, Compressed PS, PDF |
| [5] |
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. BibTeX entry, Compressed PS, PDF |
| [6] |
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. BibTeX entry, Compressed PS, PDF |
| [7] |
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. BibTeX entry, Compressed PS, PDF |
| [8] |
S. Riyavong.
Experiments on sparse matrix partitioning. Working Notes WN/PA/03/32, Keywords: sparse matrix, matrix-vector multiplication, matrix partitioning. BibTeX entry, Compressed PS, PDF |
| [9] |
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. BibTeX entry, Compressed PS, PDF |
| [10] |
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. BibTeX entry, Compressed PS, PDF |
| [11] |
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. BibTeX entry, Compressed PS, PDF |
| [12] |
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. BibTeX entry, Compressed PS, PDF |
| [13] |
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. BibTeX entry, Compressed PS, PDF |
| [14] |
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. BibTeX entry, Compressed PS, PDF |
| [15] |
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. BibTeX entry, Compressed PS, PDF |
| [16] |
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. BibTeX entry, Compressed PS, PDF |
| [17] |
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. BibTeX entry, Compressed PS, PDF |
| [18] |
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. BibTeX entry, Compressed PS |
| [19] |
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. BibTeX entry, Compressed PS, PDF |
| [20] |
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. BibTeX entry, Compressed PS, PDF |