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[1]
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Tz. Slavova.
Parallel triangular solution in the out-of-core multifrontal
approach for solving large sparse linear systems.
Ph.D. dissertation, Institut National Polytechnique de
Toulouse,
April 2009.
Keywords: Gaussian elimination, multifrontal method,
Distributed computing, parallel computing, sparse matrices, tasks scheduling,
multiple right-hand side vectors.
Jury: P. R. Amestoy (advisor), I. S. Duff (co advisor),
A. Guermouche (co advisor), J.-Y. L'Excellent, E. G. Ng (referee),
D. Trystram (referee), and B. Ucar,
TH/PA/09/59.
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[2]
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M. Mouffe.
Multilevel optimization in infinity norm and associated
stopping criteria.
Ph.D. dissertation, Institut National Polytechnique de Toulouse
and FUNDP University of Namur,
February 2009.
Keywords: Nonlinear optimization, bound-constrained problems,
multilevel problems, simplified models, recursive algorithms, numerical
performance, convergence theory.
Jury: I. Duff, F. Glineur (referee), S. Gratton (advisor),
M. Kocvara (referee), A. Sartenaer, Ph. L. Toint (advisor), and X. Vasseur,
TH/PA/09/49.
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[3]
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C. Boess.
Using model reduction techniques within the incremental 4D-Var
method.
Ph.D. dissertation, Universitaet Bremen,
August 2008.
Keywords: Control, data assimiliation, model reduction,
incremental 4D-Var method, shallow water.
Jury: A. Bunse-Gerstner (supervisor referee), N. K. Nichols
(referee), W. Hiller, A. Schmidt, D. Wilczek, and V. Schemann,
TH/PA/09/11.
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[4]
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A. Haidar.
On the parallel scalability of hybrid linear solvers for large
3D problems.
Ph.D. dissertation, INPT,
June 2008.
Keywords: Domain decomposition, Iterative methods, Direct
methods, Hybrid methods, Schur complements Linear systems, Krylov methods,
GMRES, flexible GMRES, CG, High performance computing, Two levels of
parallelism, Distributed computing, Scientific computing, Large scale
numerical simulations, Preconditioning techniques, Additive Schwarz
preconditioner.
Jury: F. Nataf (referee), R. Tuminaro (referee), I.S. Duff,
L. Giraud (advisor), S. Lanteri, G. Meurant, and J. Roman,
TH/PA/08/93.
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[5]
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M. Ahmadnasab.
Homotopic deviation theory: a qualitative study.
Ph.D. dissertation, University Toulouse I,
October 2007.
Keywords: Resolvent matrix, singular value decomposition,
Jordan form, frontier point, critical point, limit point, Lidskii's theory,
regular matrix pencil, normwise backward analysis, homotopic backward
analysis, invariant eigenvalue, evolving eigenvalue, spectral portrait,
frontier portrait, Krylov subspace methods, Arnoldi method.
Jury: J. Fleckinger, F. Chaitin-Chatelin, E. Traviesas Cassan,
I. S. Duff, M. B. van Gijzen (referee), S. Gaubert (referee), J. Giacomoni,
and J.-C. Yakoubsohn,
TH/PA/07/120.
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[6]
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M. Baboulin.
Solving large dense linear least squares problems on parallel
distributed computers. Application to the Earth's gravity field computation.
Ph.D. dissertation, INPT,
March 2006.
Keywords: High performance computing, linear least squares,
parallel distributed algorithms, packed storage format, Cholesky
factorization, QR factorization and updating, normwise condition number,
statistical condition estimate, parameter estimation.
Jury: G. Balmino, J. Dongarra (referee), I. S. Duff, L. Giraud,
S. Gratton, N. J. Higham (referee), and J. Noailles,
TH/PA/06/22.
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[7]
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E. Martin.
Spectral two-level preconditioners for sequences of linear
systems.
Ph.D. dissertation, INPT,
July 2005.
Keywords: dense and sparse linear systems, Krylov methods,
GMRES, GMRES-DR, incremental spectral preconditioner, harmonic Ritz value,
large scale numerical simulations in electromagnetism, scientific computing,
parallel distributed computing.
Jury: G. Alléon, A. Bendali, A. Bunse-Gerstner(rapporteur),
I. S. Duff, L. Giraud, S. Lanteri(rapporteur), and G. Meurant,
TH/PA/05/57.
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[8]
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S. Pralet.
Constrained orderings and scheduling for parallel sparse
linear algebra.
Ph.D. dissertation, INPT,
September 2004.
Keywords: distributed computing, Gaussian elimination,
maximum matching, multifrontal method, ordering, parallel computing, sparse
matrices, tasks scheduling.
Jury: P. R. Amestoy, I. S. Duff, J. Y. L'Excellent,
E. Ng(rapporteur), A. Pothen(rapporteur), and J. Roman,
TH/PA/04/105.
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[9]
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C. Vömel.
Contributions to research in high performance scientific
computing for sparse matrices.
Ph.D. dissertation, INPT,
March 2003.
Keywords: High performance computing, sparse linear systems,
MUMPS, multifrontal Gaussian elimination, distributed memory code, dynamic
task scheduling, sparse data structures, programming standard, Sparse BLAS,
reference implementation, matrix norm, condition number, incremental
estimators.
Jury: E. Ng (rapporteur), J. Roman (rapporteur), P. Amestoy,
M. Arioli, I. S. Duff, and A. Pothen,
TH/PA/03/26.
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[10]
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J. Langou.
Iterative methods for solving linear systems with multiple
right hand sides.
Ph.D. dissertation, INSA Toulouse,
June 2003.
Keywords: linear systems, Krylov methods, GMRES, multiple
right-hand sides, Gram-Schmidt orthogonalization, modern scientific
software, parallel distributed computers, scientific computing, large scale
numerical simulation in electromagnetism.
Jury: G. Alléon, Å. Björck (rapporteur), I.S. Duff,
L. Giraud, G. Golub, G. Meurant, C.C. Paige (rapporteur), and Y. Saad,
TH/PA/03/24.
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[11]
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J. C. Rioual.
Solving linear systems for semiconductor device simulations on
parallel distributed computers.
Ph.D. dissertation, INPT,
April 2002.
Keywords: Domain decomposition methods.
Jury: I. G. Graham (rapporteur), M. Vidrascu (rapporteur),
P. Amestoy, I. S. Duff, L. Giraud, A. Marrocco, and G. Meurant,
TH/PA/02/49.
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[12]
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B. Carpentieri.
Sparse preconditioners for dense complex linear systems in
electromagnetic applications.
Ph.D. dissertation, INPT,
April 2002.
Keywords: Preconditioning techniques, Frobenius-norm
minimization method, electromagnetic scattering applications.
Jury: G. Meurant (rapporteur), Y. Saad (rapporteur),
G. Alléon, M. Daydé, I. S. Duff, L. Giraud, and S. Piperno,
TH/PA/02/48.
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[13]
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D. Orban.
Méthodes de points intérieurs pour
l'optimisation non-linéaire.
Ph.D. Thesis, FUNDP/INPT,
May 2001.
Keywords: Smooth nonlinear optimization, interior-point
methods, speed of convergence, degenerate problems, testing environment.
Jury: Ph. L. Toint, M. Daydé, A. Sartenaer (rapporteur),
I. S. Duff (rapporteur), J. Noailles, S. J. Wright, and J. Henrard,
TH/PA/01/09.
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[14]
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A. N. Zaoui.
Deux Contributions au Calcul Scientifique I-Sur la convergence
de la méthode des Itérations Simultanées couplée
à l'algorithme d'Arnoldi itératif II-Autour du Calcul
Hypercomplexe.
Ph.D. dissertation, Université Toulouse I,
December
2000.
Keywords: No keywords supplied,
Jury: M. Ahues (rapporteur),
F. Chaitin-Chatelin, J. Fleckinger, S. Gratton, B. Philippe, and
P. Spitéri (rapporteur,
TH/PA/00/78.
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[15]
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A. Bouras.
Contrôle de convergence des solveurs emboités
pour le calcul de valeurs propres avec inversion.
Ph.D. dissertation, Université Toulouse I,
Septembre
2000.
Keywords: No keywords supplied,
Jury: J. Flćkinger,
M. Ahuès (rapporteur), P. Spitéri (rapporteur),
F. Chaitin-Chatelin, and R. Beauwens ans J.-C. Bergès,
TH/PA/00/77.
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[16]
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V. Frayssé.
The power of backward error analysis.
Habilitation à Diriger des Recherches, Institut National
Polytechnique de Toulouse,
September 2000.
Keywords: No keywords supplied,
Jury: J.-C. Bergès,
F. Chaitin-Chatelin, I. D. Duff (rapporteur), G. H. Golub, S. Hammarling
(rapporteur), B. Philippe (rapporteur), P. Spitéri, and J.-L.
Vaudescal,
TH/PA/00/65.
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[17]
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L. Giraud.
On the Numerical Solution of Partial Differential Equations:
Iterative Solvers for Parallel Computers.
Habilitation à Diriger des Recherches, Institut National
Polytechnique de Toulouse,
September 2000.
Keywords: No keywords supplied,
Jury: T. F. Chan (rapporteur),
Q. V. Dinh, I. S. Duff, G. H. Golub, G. Meurant, P. Le Tallec (rapporteur),
P. Spitéri, and H. A. van der Vorst (rapporteur),
TH/PA/00/64.
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[18]
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E. Traviesas.
Sur le déploiement du champ spectral d'une matrice.
Ph.D. dissertation, Université Toulouse I,
May 2000.
Keywords: Normwise and Homotopic perturbations, backward
error and pseudospectrum, Arnoldi and GMRES methods, eigenvalue problem
and linear system.
Jury: J. Fléckinger, P. Charrier (rapporteur),
F. Dias D'almeida (rapporteur), F. Chaitin-Chatelin, I. S. Duff, A. Ilahi,
and B. N. Parlett,
TH/PA/00/30.
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[19]
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A. Sartenaer.
Développement d'algorithmes en optimisation
non-linéaire : de l'étude théorique à
l'expérimentation numérique.
Thèse d'Habilitation à Diriger les Recherches,
Université Paul Sabatier,
1999.
Keywords: No keywords supplied,
Jury: F. Bonnans (rapporteur),
I. S. Duff, J. B. Hiriart-Urruty, Cl. Lemaréchal (rapporteur),
D. Noll, E. Sachs (rapporteur), and Ph. Toint,
TH/PA/99/00.
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[20]
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A. Ilahi.
Validation du calcul sur ordinateur: application de la
théorie des singularités algébriques.
Ph.D. dissertation, Université Toulouse I,
June 1998.
Keywords: No keywords supplied,
Jury: F. Chaitin-Chatelin,
A. Edelman (rapporteur), J. Fleckinger, V. Frayssé, and B. Philippe
(rapporteur),
TH/PA/98/31.
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[21]
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S. Gratton.
Outils théoriques d'analyse du calcul à
précision finie.
Ph.D. dissertation, Institut National Polytechnique de
Toulouse,
June 1998.
Keywords: No keywords supplied,
Jury: J. C. Bergès,
F. Chaitin-Chatelin (rapporteur), I. S. Duff (rapporteur), V. Frayssé,
A. Mzoughi (rapporteur), F. Robert, and P. Spitéri,
TH/PA/98/30.
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[22]
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J. Koster.
On the parallel solution and the reordering of unsymmetric
sparse linear systems.
PhD thesis, INPT/CERFACS, Toulouse, France,
November 1997.
Keywords: No keywords supplied,
Jury: P. R. Amestoy, R. H.
Bisseling, I. S. Duff, J. Noailles, and J. Roman (rapporteur),
TH/PA/97/51.
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[23]
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L. M. Carvalho.
Preconditioned Schur complement methods in distributed
memory environments.
PhD thesis, INPT/CERFACS, Toulouse, France,
october 1997.
Keywords: No keywords supplied,
Jury: I. S. Duff, L. Giraud,
P. Le Tallec (rapporteur), N. Maculan, G. A. Meurant (rapporteur), and
J. Noailles,
TH/PA/97/41.
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[24]
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V. Toumazou.
Portraits spectraux de matrices : un outil d'analyse de la
stabilité.
PhD thesis, Université Henri Poincaré, Nancy I,
1996.
Keywords: No keywords supplied,
Jury: M. Lalanne,
F. Chaitin-Chatelin (rapporteur), B. Philippe (rapporteur), J.-C. Dunyach,
V. Frayssé, N. Higham, and M. Gueury,
TH/PA/96/46.
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[25]
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T. Drummond.
Solution of general linear systems of equations using block
Krylov based iterative methods on distributed computing environments.
PhD thesis, Institut National Polytechnique de Toulouse,
1995.
Keywords: No keywords supplied,
Jury: M. Arioli, J. C. Diaz,
C. Douglas, I. S. Duff, J. Noailles, and D. Ruiz,
TH/PA/95/40.
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[26]
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T. Braconnier.
Sur le calcul de valeurs propres en précision finie.
Ph. D. dissertation, Université R. Poincaré,
Nancy I,
May 1994.
Keywords: No keywords supplied,
Jury: M. Ahues (rapporteur),
M. Arioli (rapporteur), C. Auburtin, O. Axelsson, F. Chatelin (rapporteur),
J. C. Dunyach, M. Gueury, and B. Oesterle,
TH/PA/94/24.
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[27]
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C. Puglisi.
QR factorization of large sparse overdetermined and square
matrices using the multifrontal method in a multiprocessor environment.
PhD thesis, CERFACS, Toulouse, France,
1993.
Keywords: No keywords supplied,
Jury: M. Arioli, Å.
Björck(rapporteur), M.J. Daydé, I.S. Duff, J. Noailles, and
B. Philippe(rapporteur),
TH/PA/93/33.
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[28]
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S. Godet-Thobie.
Valeurs propres de matrices fortement non normales en grande
dimension.
PhD thesis, CERFACS, Toulouse, France,
1993.
Keywords: No keywords supplied,
Jury: F. Chatelin, I. S. Duff,
S. Godunov, M. Gueury (rapporteur), P. Joly, J. Locatelli, and
P. Trouvé,
TH/PA/93/06.
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[29]
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V. Frayssé.
Sur la fiabilité des calculs sur ordinateur.
PhD thesis, CERFACS, Toulouse, France,
1992.
Keywords: No keywords supplied,
Jury: M. Arioli (rapporteur),
F. Chatelin, I. S. Duff, R. Glowinski, W. Kahan, B. Lemaire (rapporteur),
G. Ruget, and P. Spiteri,
TH/PA/92/11.
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[30]
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D. Ruiz.
Solution of large sparse unsymmetric linear systems with a
block iterative method in a multiprocessor environment.
PhD thesis, CERFACS, Toulouse, France,
1992.
Keywords: No keywords supplied,
Jury: M. Arioli, I. S. Duff,
H. Ha Minh, G. Meurant (rapporteur), J. Noailles, A. Rigal, and H. Van der
Vorst (rapporteur),
TH/PA/92/06.
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[31]
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Y.-H. De Roeck.
Résolution sur ordinateurs multi-processeurs de
problèmes d'élasticité par décomposition
de domaines.
PhD thesis, CERFACS, Toulouse, France,
1991.
Keywords: No keywords supplied,
Jury: M. Arioli, T. Chan,
P. Leca, P. Le Tallec, P. L. Lions (rapporteur), and G. Meurant (rapporteur),
TH/PA/91/04.
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[32]
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P. R. Amestoy.
Factorisation de grandes matrices creuses non
symétriques basée sur une méthode multifrontale dans un
environnement multiprocesseur.
PhD thesis, CERFACS, Toulouse, France,
1991.
Keywords: No keywords supplied,
Jury: M. Arioli, I. S. Duff,
H. Ha Minh (rapporteur), G. Meurant (rapporteur), J. Noailles, and
H. D. Simon (rapporteur),
TH/PA/91/03.
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