| [1] |
The Parallel Algorithms Project.
Scientific Report for 2002. Technical Report TR/PA/02/124, Keywords: No keywords supplied. BibTeX entry, Compressed PS, PDF |
| [2] |
L. Giraud and M. B. van Gijzen.
Large scale acoustic simulations on clusters of SMPs. Technical Report TR/PA/02/116, Keywords: parallelisation, clusters of SMPs, MPI, OpenMP, acoustics, finite element method. Preliminary version of the article published in the proceedings book: Integral Methods in Science and Engineering, of the IMSE2002 conference, pp 61-66. BibTeX entry, Compressed PS, PDF |
| [3] |
L. Giraud, A. Marrocco, and J.-C. Rioual.
Iterative versus direct parallel substructuring methods in semiconductor device modeling. Technical Report TR/PA/02/114, Keywords: domain decomposition techniques, preconditioned Krylov methods, sparse direct solvers, parallel distributed computing. Preliminary version of the paper published in Numerical Linear Algebra with Applications, vol. 12, nber 1, pp 33-53, 2005. BibTeX entry, Compressed PS, PDF |
| [4] |
F. Chaitin-Chatelin.
About Singularities in Inexact Computing. Technical Report TR/PA/02/106, 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. Erratum : p.2, line 14, read 'associated with eigenvalues non equal to lambda'. BibTeX entry, Compressed PS, PDF |
| [5] |
Patrick. R. Amestoy, I. S. Duff, and C. Vömel.
Task scheduling in an asynchronous distributed memory multifrontal solver. Technical Report TR/PA/02/105, Keywords: Sparse linear systems, high performance computing, MUMPS, multifrontal Gaussian elimination, distributed memory code, task scheduling. Submitted to SIAM Journal of Matrix Analysis and Applications. BibTeX entry, Compressed PS, PDF |
| [6] |
R. Durdos.
Krylov solvers for large symmetric dense complex linear systems in electromagnetism: some numerical experiments. Working Notes WN/PA/02/97, Keywords: SQMR, FSQMR, inner-outer iterations. BibTeX entry, Compressed PS, PDF |
| [7] |
F. Chaitin-Chatelin and A. N. Zaoui.
Hypercomputation on {0,1}. Technical Report TR/PA/02/73, Keywords: algebra, zero-divisor, hypercomplex multiplication, binary quaternions and octonions, geometric order, complex logic of dimension 2, 4, and 8. Erratum : throughout Section 6.2 and in Figure 6.1, read ' S(e,e)=O '. BibTeX entry, Compressed PS, PDF |
| [8] |
F. Chaitin-Chatelin and E. Traviesas.
Qualitative Computing. Technical Report TR/PA/02/58, Keywords: Critical points, eigenvalues, finite precision, Neumann series, pseudospectrum, homotopic perturbations. Preliminary version of the Chapter 5 published in the book: Accuracy and Reliability in Scientific Computing (B. Einarsson ed.), pp. 77-92, SIAM 2005. BibTeX entry, Compressed PS, PDF |
| [9] |
F. Chaitin-Chatelin and E. Traviesas.
PRECISE and the reliability of Numerical Software. Technical Report TR/PA/02/57, Keywords: eigenvalues, backward error, indicators, randomness, finite precision. Preliminary version of the Chapter 6 published in the book: Accuracy and Reliability in Scientific Computing (B. Einarsson ed.), pp. 95-108, SIAM 2005. BibTeX entry, Compressed PS, PDF |
| [10] |
F. Chaitin-Chatelin, T. Meskauskas, and M. van Gijzen.
Itérations emboîtées pour la méthode de la puissance avec accélération de Tchebycheff en neutronique. Contract Report CR/PA/02/56, Keywords: No keywords supplied. BibTeX entry |
| [11] |
B. Carpentieri, I. S. Duff, and L. Giraud.
A class of spectral two-level preconditioners. Technical Report TR/PA/02/55, Keywords: No keywords supplied, Also Technical Report RAL-TR-2002-020. Preliminary version of the article published in SIAM Journal on Scientific Computing, vol. 25, nber 2, pp. 749-765, 2003. BibTeX entry, Compressed PS, PDF |
| [12] |
L. Giraud and J. Langou.
Another proof for modified Gram-Schmidt with reorthogonalization. Working Notes WN/PA/02/53, Keywords: Gram-Schmidt algorithm, reorthogonalization schemes. BibTeX entry, Compressed PS, PDF |
| [13] |
L. Giraud and J. Langou.
Robust selective Gram-Schmidt reorthogonalization. Technical Report TR/PA/02/52, Keywords: Gram-Schmidt algorithm, reorthogonalization schemes. Preliminary version of the article published in SIAM Journal on Scientific Computing, vol. 25, nber 2, pp. 417-441, 2003. BibTeX entry, Compressed PS, PDF |
| [14] |
C. Bousquet and C. Daniel.
Complex version and validation of MUMPS, Multifrontal Massively Parallel Solver. Working Notes WN/PA/02/34, Keywords: No keywords supplied, Mémoire de Maîtrise Ingénierie Mathématique, UPS III. BibTeX entry, Compressed PS, PDF |
| [15] |
L. Giraud, J. Langou, and M. Rozlozník.
On the round-off error analysis of the Gram-Schmidt algorithm with reorthogonalization. Technical Report TR/PA/02/33, Keywords: Gram-Schmidt orthogonalization, reorthogonalization schemes. BibTeX entry, Compressed PS, PDF |
| [16] |
F. Chaitin-Chatelin, T. Meskauskas, and A. N. Zaoui.
Hypercomplex division in the presence of zero divisors on R and Z2. Technical Report TR/PA/02/29, Keywords: algebra, zero divisor, hypercomplex division, binary, special relativity, quaternions, quantum interference, geometric order, complex logic of dimension 2 and 4. BibTeX entry, Compressed PS, PDF |
| [17] |
G. Richard.
Coupling MUMPS and ordering software. Working Notes WN/PA/02/24, Keywords: sparse direct factorization, distributed computing, ordering techniques, multifrontal. BibTeX entry, Compressed PS, PDF |
| [18] |
N. I. M. Gould, D. Orban, and Ph. L. Toint.
General SifDec documentation. Technical Report TR/PA/02/14, Keywords: Nonlinear constrained optimization, testing environment, shared filesystems, heterogeneous environment, SIF format. BibTeX entry, Compressed PS, PDF |
| [19] |
N. I. M. Gould, D. Orban, and Ph. L. Toint.
General CUTEr documentation. Technical Report TR/PA/02/13, Keywords: Nonlinear constrained optimization, testing environment, shared filesystems, heterogeneous environment, SIF format. BibTeX entry, Compressed PS, PDF |