List of publications of Luc GIRAUD

Papers in journal

[1] M. Baboulin, L. Giraud, S. Gratton, and J. Langou. Parallel tools for solving incremental dense least squares problems. application to space geodesy. Journal of Algorithms and Computational Technology, 3(1):117-133, 2009. Also appeared as LAPACK Working Note 179, September 2006.

[2] L. Giraud and A. Haidar. Parallel algebraic hybrid solvers for large 3D convection-diffusion problems. Numerical Algorithms, to appear, 2009.

[3] L. Giraud, A. Haidar, and L. T. Watson. Parallel scalability study of hybrid preconditioners in three dimensions. Parallel Computing, 34:363-379, 2008.

[4] A. El Ghazi, S. El Hajji, L. Giraud, and S. Gratton. Newton's method for the common eigenvector problem. Journal of Computational and Applied Mathematics, 219(2):398-407, 2008.

[5] V. Frayssé, L. Giraud, and S. Gratton. Algorithm 881: A set of FGMRES routines for real and complex arithmetics on high performance computers. ACM Trans. Math. Softw., 35(2):1-12, 2008.

[6] M. Baboulin, L. Giraud, S. Gratton, and J. Langou. A distributed packed storage for large dense in-core parallel calculations. Concurrency and Computation: Practice and Experience, 19(4):483-502, 2007.

[7] L. Giraud, S. Gratton, and J. Langou. Convergence in backward error of relaxed GMRES. SIAM J. Scientific Computing, 29(2):710-728, 2007.

[8] B. Carpentieri, L. Giraud, and S. Gratton. Additive and multiplicative two-level spectral preconditioning for general linear systems. SIAM J. Scientific Computing, 29(4):1593-1612, 2007.

[9] D. Mariano-Goulart, P. Maréchal, S. Gratton, L. Giraud, and M. Fourcade. A priori selection of the regularization parameters in emission tomography by Fourier synthesis. Computerized Medical Imaging and Graphics, 31(7):502-509, 2007.

[10] S. Operto, J. Virieux, P. Amestoy, J.-Y. L'Excellent, L. Giraud, and H. Ben Hadj Ali. 3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility study. Geophysics, 72(5):195-211, 2007.

[11] L. Giraud, S. Gratton, and E. Martin. Incremental spectral preconditioners for sequences of linear systems. Applied Numerical Mathematics, 57(11-12):1164-1180, 2007.

[12] L. Giraud, D. Ruiz, and A. Touhami. A comparative study of iterative solvers exploiting spectral information for SPD systems. SIAM J. Scientific Computing, 27(5):1760-1786, 2006.

[13] L. Giraud and S. Gratton. On the sensitivity of some spectral preconditioners. SIAM J. Matrix Analysis and Applications, 27(4):1089-1105, 2006.

[14] L. Giraud, J. Langou, and G. Sylvand. On the parallel solution of large industrial wave propagation problems. Journal of Computational Acoustics, 14(1):83-111, 2006.

[15] G. Alléon, S. Champagneux, G. Chevalier, L. Giraud, and G. Sylvand. Parallel distributed numerical simulations in aeronautic applications. Applied Mathematical Modelling, 30:714-730, 2006.

[16] L. Giraud, A. Marrocco, and J.-C. Rioual. Iterative versus direct parallel substructuring methods in semiconductor device modelling. Numerical Linear Algebra with Applications, 12(1):33-53, 2005.

[17] I. S. Duff, L. Giraud, J. Langou, and E. Martin. Using spectral low rank preconditioners for large electromagnetic calculations. Int J. Numerical Methods in Engineering, 62(3):416-434, 2005.

[18] V. Frayssé, L. Giraud, S. Gratton, and J. Langou. Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers. ACM Trans. Math. Softw., 31(2):228-238, 2005.

[19] M. Baboulin, L. Giraud, and S. Gratton. A parallel distributed solver for large dense symmetric systems: applications to geodesy and electromagnetism problems. Int J. of High Performance Computing Applications, 19(4):353-363, 2005.

[20] L. Giraud, J. Langou, M. Rozlozník, and J. van den Eshof. Rounding error analysis of the classical Gram-Schmidt orthogonalization process. Numerische Mathematik, 101(1):87-100, 2005.

[21] L. Giraud, J. Langou, and M. Rozlozník. On the loss of orthogonality in the Gram-Schmidt orthognalization process. Computer and Mathematics with Applications, 50:1069-1075, 2005.

[22] B. Carpentieri, I. S. Duff, L. Giraud, and G. Sylvand. Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations. SIAM J. Scientific Computing, 27(3):774-792, 2005.

[23] B. Carpentieri, I. S. Duff, L. Giraud, and M. Magolu monga Made. Sparse symmetric preconditioners for dense linear systems in electromagnetism. Numerical Linear Algebra with Applications, 11(8-9):753-771, 2004.

[24] L. Giraud, S. Gratton, and J. Langou. A rank-k update procedure for reorthogonalizing the orthogonal factor from modified Gram-Schmidt. SIAM J. Matrix Analysis and Applications, 25(4):1163-1177, 2004.

[25] B. Carpentieri, I. S. Duff, and L. Giraud. A class of spectral two-level preconditioners. SIAM J. Scientific Computing, 25(2):749-765, 2003.

[26] L. Giraud, F. Guevara Vasquez, and R. S. Tuminaro. Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Numerical Linear Algebra with Applications, 10:467-484, 2003.

[27] L. Giraud and J. Langou. Robust selective Gram-Schmidt reorthogonalization. SIAM J. Scientific Computing, 25(2):417-441, 2003.

[28] L. Giraud and J. Langou. When modified Gram-Schmidt generates a well-conditioned set of vectors. IMA Journal of Numerical Analyis, 22(4):521-528, 2002.

[29] L. Giraud. Combining shared and distributed memory programming models on clusters of symmetric multiprocessors: Some basic promising experiments. Int J. of High Performance Computing Applications, 16(4):425-430, 2002.

[30] L. M. Carvalho, L. Giraud, and G. Meurant. Local preconditioners for two-level non-overlapping domain decomposition methods. Numerical Linear Algebra with Applications, 8(4):207-227, 2001.

[31] L. M. Carvalho, L. Giraud, and P. Le Tallec. Algebraic two-level preconditioners for the Schur complement method. SIAM J. Scientific Computing, 22(6):1987 - 2005, 2001.

[32] L. Giraud, R. Guivarch, and J. Stein. Parallel distributed fast 3D Poisson solver for meso-scale atmospheric simulations. Int J. of High Performance Computing Applications, 15(1):36-46, 2001.

[33] B. Carpentieri, I. S. Duff, and L. Giraud. Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Numerical Linear Algebra with Applications, 7(7-8):667-685, 2000.

[34] S. Baldini, L. Giraud, J. M. Jimenez, L. M. Matey, and J. G. Izaguirre. High performance computing in multi-body system design. Int J. of High Performance Computing Applications, 13(2):99-106, 1999.

[35] L. Giraud and R. S. Tuminaro. Schur complement preconditioners for anisotropic problems. IMA J. Numerical Analysis, 19(1):1-17, 1999.

[36] G. Alléon, M. Benzi, and L. Giraud. Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Numerical Algorithms, 16:1-15, 1997.

[37] L. Giraud and G. M. Manzini. Parallel implementations of 2D explicit Euler solvers. Journal of computational physics, 123:111-118, 1996.

[38] L. Giraud. Block preconditioned conjugate gradient methods on a distributed virtual shared memory multiprocessor. Int J. High Speed Computing, 7:161-190, 1995.

[39] L. Giraud and R. S. Tuminaro. Time dependent solvers on distributed memory computers. Calculateurs parallèles, 7(3):255-269, 1995.

[40] L. Giraud, J. C. Miellou, and P. Spitéri. S.S.O.R. preconditioning behaviour with respect to the relaxation parameter, in case of by plane discretization of 3D-problems. Intern. J. Computer Math., 40:153-158, 1992.

[41] L. Giraud and P. Spitéri. Résolution parallèle de problèmes aux limites non-linéaires. Modélisation Mathématique et Analyse Numérique, 25(4):579-606, 1991.

[42] L. Giraud and P. Spitéri. Résolution par des algorithmes de relaxation parallèles des équations d'Hamilton-Jacobi-Bellman discrétisées et linéarisées. Publication Mathématiques de Besançon, pages 31-46, 1989.

Technical reports

[1] L. Giraud, E. Ng, Y. Saad, and W. P. Tang, editors. Proceedings of the International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in Scientific and Industrial Applications, 2007. Registered as ENSEEIHT-IRIT RT/APO/07/10, also CERFACS TR/PA/07/71.
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[2] L. Giraud, S. Gratton, and X. Pinel. Classical and flexible Krylov subspace methods with deflated restarting for the solution of electromagnetics problems with impedance boundary conditions. Technical Report FR/PA/07/57, CERFACS, Toulouse, France, 2007. Also appeared as ENSEEIHT-IRIT Technical report RT/APO/07/09.

[3] L. Giraud, S. Gratton, and X. Pinel. Méthodes de Krylov classique et flexible avec déflation pour des problèmes de diffraction d'ondes avec conditions d'impédance en électromagnétisme. Technical Report ENSEEIHT-IRIT RT/APO/07/08, IRIT/URA CNRS 1399, Toulouse, France, 2007. Also appeared as CERFACS Technical report FR/PA/07/57.

[4] L. Giraud, A. Haidar, and L. T. Watson. Parallel scalability study of three dimensional additive Schwarz preconditioners in non-overlapping domain decomposition. Technical Report TR/PA/07/05, CERFACS, Toulouse, France, 2007. Also appeared as ENSEEIHT-IRIT Technical report RT/APO/07/01.
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[5] L. Giraud, A. Haidar, and L. T. Watson. Mixed-precision preconditioners in parallel domain decomposition solvers. Technical Report TR/PA/06/84, CERFACS, Toulouse, France, 2006. Also appeared as ENSEEIHT-IRIT Technical report RT/APO/06/08, to appear in the proceedings of the 17th conference on domain decomposition.
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[6] L. Giraud and R. S. Tuminaro. Algebraic domain decomposition preconditioners. Technical Report ENSEEIHT-IRIT RT/APO/06/07, IRIT/URA CNRS 1399, Toulouse, France, 2006. Preliminary version of a book chapter to appear in Mesh partitioning techniques and domain decomposition methods, Civil-Comp Ltd, F. Magoules ed, 2007.

[7] M. Baboulin, L. Giraud, S. Gratton, and J. Langou. A distributed packed storage for large parallel calculations. Technical Report TR/PA/05/30, CERFACS, Toulouse, France, 2005. Preliminary version of the paper published in Concurrency and Computation: Practice and Experience, vol. 19, p. 483-502.
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[8] G. Alléon, S. Champagneux, G. Chevalier, L. Giraud, and G. Sylvand. Parallel distributed numerical simulations in aeronautic applications. Technical Report TR/CFD-PA/05/44, CERFACS, Toulouse, France, 2005. Preliminary version of the paper published in Applied Mathematical Modelling, vol. 30, p. 714-730, 2006.

[9] L. Giraud, S. Gratton, and E. Martin. Incremental spectral preconditioners for sequences of linear systems. Technical Report TR/PA/05/17, CERFACS, Toulouse, France, 2005. Preliminary version of the paper to appear in Applied Numerical Mathematics.
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[10] L. Giraud, S. Gratton, and J. Langou. Convergence in backward error of relaxed GMRES. Technical Report TR/PA/04/132, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in SIAM SISC, vol. 29 (4), p. 1593-1612, 2007.
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[11] L. Giraud and S. Gratton. On the sensitivity of some spectral preconditioners. Technical Report TR/PA/04/108, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in SIAM J. Matrix Analysis and Applications, vol. 27 (4), P. 1089-1105, 2006.
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[12] L. Giraud, J. Langou, M. Rozlozník, and J. van den Eshof. Rounding error analysis of the classical Gram-Schmidt orthogonalization process. Technical Report TR/PA/04/77, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in Numerische Mathematik vol. 101 (1), p. 87-100, 2005.
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[13] L. Giraud, J. Langou, and G. Sylvand. On the parallel solution of large industrial wave propagation problems. Technical Report TR/PA/04/52, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in Journal of Computational Acoustics,vol. 14 (1), p. 83-111, 2006.
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[14] L. Giraud, S. Gratton, and J. Langou. A note on relaxed and flexible GMRES. Technical Report TR/PA/04/41, CERFACS, Toulouse, France, 2004.
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[15] L. Giraud, D. Ruiz, and A. Touhami. A comparative study of iterative solvers exploiting spectral information for SPD systems. Technical Report TR/PA/04/40, CERFACS, Toulouse, France, 2004. Also Technical report ENSEEIHT-IRIT RT/TLSE/04/03. Preliminary version of the paper published in SIAM J. Scientific Computing, vol. 27 (5), p. 1760-1786, 2006.
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[16] B. Carpentieri, L. Giraud, and S. Gratton. Additive and multiplicative two-level spectral preconditioning for general linear systems. Technical Report TR/PA/04/38, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in SIAM J. Scientific Computing, vol. 29 (4), p. 1593-1612, 2007.
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[17] J. F. Boussuge, S. Champagneux, G. Chevalier, L. Giraud, F. Loercher, and M. Montagnac. How to maintain efficiency on vector and SMP platforms for large aerodynamic calculations. Technical Report TR/CFD/04/37, CERFACS, Toulouse, France, 2004.
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[18] M. Baboulin, L. Giraud, and S. Gratton. A parallel distributed solver for large dense symmetric systems: applications to geodesy and electromagnetism problems. Technical Report TR/PA/04/16, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in Int J. of High Performance Computing Applications, vol. 19 (4), p. 353-363, 2005.
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[19] 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, CERFACS, Toulouse, France, 2003. Also Technical report RAL-TR-2003-023, Preliminary version of the paper published in Int J. Numerical Methods in Engineering vol. 62 (3), p. 416-434, 2005.
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[20] B. Carpentieri, I. S. Duff, L. Giraud, and G. Sylvand. Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations. Technical Report TR/PA/03/77, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published in SIAM SISC, vol. 27 (3), p. 774-792, 2005.
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[21] 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, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published electronically in the proceedings of the international conference on supercomputing in nuclear application, Paris, 2003.

[22] 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, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published in SIAM SIMAX, vol. 25 (4), p. 1163-1177, 2004.
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[23] V. Frayssé, L. Giraud, S. Gratton, and J. Langou. A set of GMRES routines for real and complex arithmetics on high performance computers. Tech. Rep. TR/PA/03/3, CERFACS, Toulouse, France, 2003.
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[24] L. Giraud and M. B. van Gijzen. Large scale acoustic simulations on clusters of SMPs. Technical Report TR/PA/02/116, CERFACS, Toulouse, France, 2002. Preliminary version of the paper to appear in the proceedings of the IMSE2002 conference.

[25] L. Giraud, A. Marrocco, and J.-C. Rioual. Iterative versus direct parallel substructuring methods in semiconductor device modeling. Technical Report TR/PA/02/114, CERFACS, Toulouse, France, 2002. Preliminary version of the paper published in Numerical Linear Algebra with Applications vol. 12 (1), p. 33-53, 2005.
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[26] B. Carpentieri, I. S. Duff, and L. Giraud. A class of spectral two-level preconditioners. Technical Report TR/PA/02/55, CERFACS, Toulouse, France, 2002. Also Technical report RAL-TR-2002-020. Preliminary version of the paper published in SIAM SISC, vol. 25 (2), p. 749-765, 2003.
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[27] L. Giraud and J. Langou. Robust selective Gram-Schmidt reorthogonalization. Technical Report TR/PA/02/52, CERFACS, Toulouse, France, 2002. Preliminary version of the paper published in SIAM SISC, vol. 25 (2), p. 417-441, 2003.
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[28] 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, CERFACS, Toulouse, France, 2002.
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[29] L. Giraud, J. Koster, A. Marrocco, and J.-C. Rioual. Domain decomposition methods in semiconductor device modeling. Technical Report TR/PA/01/51, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in the proceedings of the 13th conference on Domain Decomposition Methods in Scientific Computing, 2001.
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[30] B. Carpentieri, I.S. Duff, L. Giraud, and M. Magolu monga Made. Sparse symmetric preconditioners for dense linear systems in electromagnetism. Technical Report TR/PA/01/35, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in Numerical Linear Algebra with Applications, vol. 11 (8-9),p. 753-771, 2004.
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[31] L. Giraud. Combining shared and distributed memory programming models on clusters of symmetric multiprocessors: Some basic promising experiments. Working Note WN/PA/01/19, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in Int J. of High Performance Computing Applications, vol. 16 (2), 2002.
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[32] L. Giraud and J. Langou. When modified Gram-Schmidt generates a well-conditioned set of vectors. Technical Report TR/PA/01/17, CERFACS, Toulouse, France, 2001. Preliminary version of a paper published in IMA Journal of Numerical Analyis vol. 22(4), p. 521-528, 2002.
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[33] L. Giraud, F. Guevara Vasquez, and R. S. Tuminaro. Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Tech. Rep. TR/PA/01/03, CERFACS, Toulouse, France, 2001. Preliminary version of a paper published in Numerical Linear Algebra with Applications vol. 10, p. 467-484, 2003.
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[34] 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. TH/PA/00/64, CERFACS.
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[35] V. Frayssé and L. Giraud. A set of conjugate gradient routines for real and complex arithmetics. Technical Report TR/PA/00/47, CERFACS, Toulouse, France, 2000.
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[36] A. Bouras, V. Frayssé, and L. Giraud. A relaxation strategy for inner-outer linear solvers in domain decomposition methods. Technical Report TR/PA/00/17, CERFACS, Toulouse, France, 2000.
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[37] B. Carpentieri, I. S. Duff, and L. Giraud. Some sparse pattern selection strategies for robust Frobenius norm minimization preconditioners in electromagnetism. Technical Report RAL-TR-2000-009, Rutherford Appleton Laboratory, 2000. Preliminary version of the paper published in Numerical Linear Algebra with Applications, vol. 7 (6-7), p. 667-685, 2000.
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[38] B. Carpentieri, I. S. Duff, and L. Giraud. Experiments with sparse preconditioning of dense problems from electromagnetic applications. Technical Report TR/PA/00/04, CERFACS, Toulouse, France, 2000.
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[39] L. M. Carvalho, L. Giraud, and G. Meurant. Local preconditioners for two-level non-overlapping domain decomposition methods. Tech. Rep. TR/PA/99/38, CERFACS, Toulouse, France, France, 1999. Preliminary version of the paper published in Numerical Linear Algebra with Applications, vol. 8 (4), p. 207-227, 2001.
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[40] L. M. Carvalho and L. Giraud. Parallel subdomain-based preconditioner for the Schur complement. Technical Report TR/PA/99/04, CERFACS, Toulouse, France, 1999. Preliminary version of the proceeding EUROPAR'99 Parallel Processing, 1999.
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[41] V. Frayssé, L. Giraud, and S. Gratton. A set of flexible-GMRES routines for real and complex arithmetics. Tech. Rep. TR/PA/98/20, CERFACS, Toulouse, France, France, 1998.
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[42] L. M. Carvalho, L. Giraud, and P. Le Tallec. Algebraic two-level preconditioners for the Schur complement method. Tech. Rep. TR/PA/98/18, CERFACS, Toulouse, France, France, 1998. Preliminary version of the paper published in SIAM SISC, vol. 22 (6), p. 1987-2005, 2001.
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[43] V. Frayssé and L. Giraud. Comparative study of QMR versus block QMR for J-symmetric matrices in electromagnetism applications. Tech. Rep. TR/PA/98/11, CERFACS, Toulouse, France, 1998.

[44] V. Frayssé, L. Giraud, and H. Kharraz-Aroussi. On the influence of the orthogonalization scheme on the parallel performance of GMRES. Technical Report TR/PA/98/07, CERFACS, Toulouse, France, 1998.
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[45] L. Giraud and R. S. Tuminaro. Schur complement preconditioners for anisotropic problems. Tech. Rep. 98-8488J, Sandia National Laboratories, 1998. Preliminary version of the paper published in IMA J. Numerical Analysis, vol. 19 (1), p 1-17, 1999.

[46] L. Giraud, D. Lugato, and F. Saab. Parallel distributed fast 3D Poisson solver. Tech. Rep. TR/PA/97/58, CERFACS, Toulouse, France, 1997.
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[47] V. Frayssé, L. Giraud, and S. Gratton. A set of GMRES routines for real and complex arithmetics. Tech. Rep. TR/PA/97/49, CERFACS, Toulouse, France, 1997.
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[48] L. M. Carvalho and L. Giraud. Block diagonal preconditioners for the Schur complement method. Tech. Rep. TR/PA/97/46, CERFACS, Toulouse, France, France, 1997. Preliminary version of the Saxe-coburg publication, 1999.
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[49] S. Baldini, L. Giraud, J. M. Jimenez, L. M. Matey, and J. G. Izaguirre. High performance computing in multi-body system design. Technical Report TR/PA/97/27, CERFACS, Toulouse, France, 1997. Preliminary version of the paper published in Int J. Supercomputer Applications, vol. 2 (13), p. 99-106, 1999.
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[50] S. Baldini, L. Giraud, L. Hamel, J. M. Jimenez, and L. M. Matey. HIPERCOMBATS : a parallel industrial tool for two-wheeler suspensions design. Technical Report TR/PA/97/08, CERFACS, Toulouse, France, 1997. Preliminary version of proceeding in High Performance Computing and Networking, 1997.
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[51] G. Alléon, M. Benzi, and L. Giraud. Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Technical Report TR/PA/97/05, CERFACS, Toulouse, France, 1997. Preliminary version of the paper published in Numerical Algorithms, vol. 6, p. 1-15, 1997.
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[52] L. M. Carvalho and L. Giraud. Additive Schwarz for the Schur complement method. Technical Report TR/PA/96/51, CERFACS, Toulouse, France, September 1996. Preliminary version of proceeding in Domain Decomposition Methods in Scientific Computing, 1998.
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[53] V. Frayssé, L. Giraud, and V. Toumazou. Parallel computation of spectral portraits on the Meiko CS2. Technical Report TR/PA/96/02, CERFACS, Toulouse, France, 1996. Preliminary version of proceeding in High-Performance Computing and Networking, 1996.
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[54] L. M. Carvalho, I. S. Duff, and L. Giraud. Linear algebra kernels for parallel domain decomposition methods. Technical Report TR/PA/95/26, CERFACS, Toulouse, France, 1995. Preliminary version of proceeding in Advanced Computational Methods in Structural Mechanics, 1996.
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[55] L. Giraud and R. S. Tuminaro. Time dependent solvers on distributed memory computers. Tech. Rep. TR/PA/95/03, CERFACS, Toulouse, France, 1995. Preliminary version of the paper published in Calculateurs parallèles, vol. 7 (3), p. 255-269, 1995.
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[56] L. Giraud, P. Noyret, E. Sevault, and V. Van Kemenade. IPM - user's guide and reference manual. Tech. Rep. TR/PA/95/01, CERFACS, Toulouse, France, 1995.
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[57] L. Giraud and R. S. Tuminaro. Grid transfer operators for highly variable coefficient problems. Tech. Rep. TR/PA/93/37, CERFACS, Toulouse, France, 1993.
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[58] L. Giraud and R. S. Tuminaro. A domain decomposition probing variant suitable for anisotropic problems. Tech. Rep. TR/PA/93/36, CERFACS, Toulouse, France, 1993.
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[59] L. Giraud and G. M. Manzini. Parallel implementations of a multidomain explicit high-order accurate Euler solver. Tech. Rep. TR/CFD-PA/93/49, CERFACS, Toulouse, France, 1993.
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[60] L. Giraud. Shared and distributed implementations of block preconditioned conjugate gradient using domain decomposition on a distributed virtual shared memory computer. Tech. Rep. TR/PA/92/91, CERFACS, Toulouse, France, 1992.
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[61] L. Giraud. Implantations parallèles de méthodes de sous-domaines synchrones et asynchrones pour la résolution de problèmes aux limites. PhD thesis, Institut National Polytechnique de Toulouse, 1991.

[62] L. Giraud, P. Spitéri, and J. C. Miellou. Méthodes de gradient conjugué 3D préconditionnées par un solveur 2D de type méthode alternée de Schwarz. Technical Report IRIT/91-6-R, IRIT/URA CNRS 1399, Toulouse, France, 1991.

[63] L. Giraud and P. Spitéri. Résolution parallèle de problèmes d'équations aux déquations aux dérivées partielles non-linéaires sur une architecture à mémoire distribuée. Technical Report IRIT/91-1-R, IRIT/URA CNRS 1399, Toulouse, France, 1991.

[64] L. Giraud and P. Spitéri. Implantation d'algorithmes de relaxation parallèles synchrones et asynchrones sur l'architecture CAPITAN-MATRA. Technical Report  , IRIT/URA CNRS 1399, Toulouse, France, 1990.

[65] L. Giraud and P. Spitéri. Résolution parallèle des équations d'Hamilton-Jacobi-Bellman sur un calculateur distribué. Technical Report  , IRIT/URA CNRS 1399, Toulouse, France, 1989.

[66] Ph. Berger, L. Giraud, and P. Spitéri. Mise en oe uvre d'algorithmes parallèles synchrones et asynchrones sur une architecture multi-transputers. Technical Report  , IRIT/URA CNRS 1399, Toulouse, France, 1989.

This file has been generated by bibtex2html 1.75

Reports and publications of the Parallel Algorithms Project at Cerfacs

[1]	M. Baboulin, L. Giraud, S. Gratton, and J. Langou. Parallel tools for solving incremental dense least squares problems. application to space geodesy. Journal of Algorithms and Computational Technology, 3(1):117-133, 2009. Also appeared as LAPACK Working Note 179, September 2006.
[2]	L. Giraud and A. Haidar. Parallel algebraic hybrid solvers for large 3D convection-diffusion problems. Numerical Algorithms, to appear, 2009.
[3]	L. Giraud, A. Haidar, and L. T. Watson. Parallel scalability study of hybrid preconditioners in three dimensions. Parallel Computing, 34:363-379, 2008.
[4]	A. El Ghazi, S. El Hajji, L. Giraud, and S. Gratton. Newton's method for the common eigenvector problem. Journal of Computational and Applied Mathematics, 219(2):398-407, 2008.
[5]	V. Frayssé, L. Giraud, and S. Gratton. Algorithm 881: A set of FGMRES routines for real and complex arithmetics on high performance computers. ACM Trans. Math. Softw., 35(2):1-12, 2008.
[6]	M. Baboulin, L. Giraud, S. Gratton, and J. Langou. A distributed packed storage for large dense in-core parallel calculations. Concurrency and Computation: Practice and Experience, 19(4):483-502, 2007.
[7]	L. Giraud, S. Gratton, and J. Langou. Convergence in backward error of relaxed GMRES. SIAM J. Scientific Computing, 29(2):710-728, 2007.
[8]	B. Carpentieri, L. Giraud, and S. Gratton. Additive and multiplicative two-level spectral preconditioning for general linear systems. SIAM J. Scientific Computing, 29(4):1593-1612, 2007.
[9]	D. Mariano-Goulart, P. Maréchal, S. Gratton, L. Giraud, and M. Fourcade. A priori selection of the regularization parameters in emission tomography by Fourier synthesis. Computerized Medical Imaging and Graphics, 31(7):502-509, 2007.
[10]	S. Operto, J. Virieux, P. Amestoy, J.-Y. L'Excellent, L. Giraud, and H. Ben Hadj Ali. 3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility study. Geophysics, 72(5):195-211, 2007.
[11]	L. Giraud, S. Gratton, and E. Martin. Incremental spectral preconditioners for sequences of linear systems. Applied Numerical Mathematics, 57(11-12):1164-1180, 2007.
[12]	L. Giraud, D. Ruiz, and A. Touhami. A comparative study of iterative solvers exploiting spectral information for SPD systems. SIAM J. Scientific Computing, 27(5):1760-1786, 2006.
[13]	L. Giraud and S. Gratton. On the sensitivity of some spectral preconditioners. SIAM J. Matrix Analysis and Applications, 27(4):1089-1105, 2006.
[14]	L. Giraud, J. Langou, and G. Sylvand. On the parallel solution of large industrial wave propagation problems. Journal of Computational Acoustics, 14(1):83-111, 2006.
[15]	G. Alléon, S. Champagneux, G. Chevalier, L. Giraud, and G. Sylvand. Parallel distributed numerical simulations in aeronautic applications. Applied Mathematical Modelling, 30:714-730, 2006.
[16]	L. Giraud, A. Marrocco, and J.-C. Rioual. Iterative versus direct parallel substructuring methods in semiconductor device modelling. Numerical Linear Algebra with Applications, 12(1):33-53, 2005.
[17]	I. S. Duff, L. Giraud, J. Langou, and E. Martin. Using spectral low rank preconditioners for large electromagnetic calculations. Int J. Numerical Methods in Engineering, 62(3):416-434, 2005.
[18]	V. Frayssé, L. Giraud, S. Gratton, and J. Langou. Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers. ACM Trans. Math. Softw., 31(2):228-238, 2005.
[19]	M. Baboulin, L. Giraud, and S. Gratton. A parallel distributed solver for large dense symmetric systems: applications to geodesy and electromagnetism problems. Int J. of High Performance Computing Applications, 19(4):353-363, 2005.
[20]	L. Giraud, J. Langou, M. Rozlozník, and J. van den Eshof. Rounding error analysis of the classical Gram-Schmidt orthogonalization process. Numerische Mathematik, 101(1):87-100, 2005.
[21]	L. Giraud, J. Langou, and M. Rozlozník. On the loss of orthogonality in the Gram-Schmidt orthognalization process. Computer and Mathematics with Applications, 50:1069-1075, 2005.
[22]	B. Carpentieri, I. S. Duff, L. Giraud, and G. Sylvand. Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations. SIAM J. Scientific Computing, 27(3):774-792, 2005.
[23]	B. Carpentieri, I. S. Duff, L. Giraud, and M. Magolu monga Made. Sparse symmetric preconditioners for dense linear systems in electromagnetism. Numerical Linear Algebra with Applications, 11(8-9):753-771, 2004.
[24]	L. Giraud, S. Gratton, and J. Langou. A rank-k update procedure for reorthogonalizing the orthogonal factor from modified Gram-Schmidt. SIAM J. Matrix Analysis and Applications, 25(4):1163-1177, 2004.
[25]	B. Carpentieri, I. S. Duff, and L. Giraud. A class of spectral two-level preconditioners. SIAM J. Scientific Computing, 25(2):749-765, 2003.
[26]	L. Giraud, F. Guevara Vasquez, and R. S. Tuminaro. Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Numerical Linear Algebra with Applications, 10:467-484, 2003.
[27]	L. Giraud and J. Langou. Robust selective Gram-Schmidt reorthogonalization. SIAM J. Scientific Computing, 25(2):417-441, 2003.
[28]	L. Giraud and J. Langou. When modified Gram-Schmidt generates a well-conditioned set of vectors. IMA Journal of Numerical Analyis, 22(4):521-528, 2002.
[29]	L. Giraud. Combining shared and distributed memory programming models on clusters of symmetric multiprocessors: Some basic promising experiments. Int J. of High Performance Computing Applications, 16(4):425-430, 2002.
[30]	L. M. Carvalho, L. Giraud, and G. Meurant. Local preconditioners for two-level non-overlapping domain decomposition methods. Numerical Linear Algebra with Applications, 8(4):207-227, 2001.
[31]	L. M. Carvalho, L. Giraud, and P. Le Tallec. Algebraic two-level preconditioners for the Schur complement method. SIAM J. Scientific Computing, 22(6):1987 - 2005, 2001.
[32]	L. Giraud, R. Guivarch, and J. Stein. Parallel distributed fast 3D Poisson solver for meso-scale atmospheric simulations. Int J. of High Performance Computing Applications, 15(1):36-46, 2001.
[33]	B. Carpentieri, I. S. Duff, and L. Giraud. Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Numerical Linear Algebra with Applications, 7(7-8):667-685, 2000.
[34]	S. Baldini, L. Giraud, J. M. Jimenez, L. M. Matey, and J. G. Izaguirre. High performance computing in multi-body system design. Int J. of High Performance Computing Applications, 13(2):99-106, 1999.
[35]	L. Giraud and R. S. Tuminaro. Schur complement preconditioners for anisotropic problems. IMA J. Numerical Analysis, 19(1):1-17, 1999.
[36]	G. Alléon, M. Benzi, and L. Giraud. Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Numerical Algorithms, 16:1-15, 1997.
[37]	L. Giraud and G. M. Manzini. Parallel implementations of 2D explicit Euler solvers. Journal of computational physics, 123:111-118, 1996.
[38]	L. Giraud. Block preconditioned conjugate gradient methods on a distributed virtual shared memory multiprocessor. Int J. High Speed Computing, 7:161-190, 1995.
[39]	L. Giraud and R. S. Tuminaro. Time dependent solvers on distributed memory computers. Calculateurs parallèles, 7(3):255-269, 1995.
[40]	L. Giraud, J. C. Miellou, and P. Spitéri. S.S.O.R. preconditioning behaviour with respect to the relaxation parameter, in case of by plane discretization of 3D-problems. Intern. J. Computer Math., 40:153-158, 1992.
[41]	L. Giraud and P. Spitéri. Résolution parallèle de problèmes aux limites non-linéaires. Modélisation Mathématique et Analyse Numérique, 25(4):579-606, 1991.
[42]	L. Giraud and P. Spitéri. Résolution par des algorithmes de relaxation parallèles des équations d'Hamilton-Jacobi-Bellman discrétisées et linéarisées. Publication Mathématiques de Besançon, pages 31-46, 1989.

[1]	L. Giraud, E. Ng, Y. Saad, and W. P. Tang, editors. Proceedings of the International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in Scientific and Industrial Applications, 2007. Registered as ENSEEIHT-IRIT RT/APO/07/10, also CERFACS TR/PA/07/71. [ .ps.gz \| .pdf ]
[2]	L. Giraud, S. Gratton, and X. Pinel. Classical and flexible Krylov subspace methods with deflated restarting for the solution of electromagnetics problems with impedance boundary conditions. Technical Report FR/PA/07/57, CERFACS, Toulouse, France, 2007. Also appeared as ENSEEIHT-IRIT Technical report RT/APO/07/09.
[3]	L. Giraud, S. Gratton, and X. Pinel. Méthodes de Krylov classique et flexible avec déflation pour des problèmes de diffraction d'ondes avec conditions d'impédance en électromagnétisme. Technical Report ENSEEIHT-IRIT RT/APO/07/08, IRIT/URA CNRS 1399, Toulouse, France, 2007. Also appeared as CERFACS Technical report FR/PA/07/57.
[4]	L. Giraud, A. Haidar, and L. T. Watson. Parallel scalability study of three dimensional additive Schwarz preconditioners in non-overlapping domain decomposition. Technical Report TR/PA/07/05, CERFACS, Toulouse, France, 2007. Also appeared as ENSEEIHT-IRIT Technical report RT/APO/07/01. [ .ps.gz \| .pdf ]
[5]	L. Giraud, A. Haidar, and L. T. Watson. Mixed-precision preconditioners in parallel domain decomposition solvers. Technical Report TR/PA/06/84, CERFACS, Toulouse, France, 2006. Also appeared as ENSEEIHT-IRIT Technical report RT/APO/06/08, to appear in the proceedings of the 17th conference on domain decomposition. [ .ps.gz \| .pdf ]
[6]	L. Giraud and R. S. Tuminaro. Algebraic domain decomposition preconditioners. Technical Report ENSEEIHT-IRIT RT/APO/06/07, IRIT/URA CNRS 1399, Toulouse, France, 2006. Preliminary version of a book chapter to appear in Mesh partitioning techniques and domain decomposition methods, Civil-Comp Ltd, F. Magoules ed, 2007.
[7]	M. Baboulin, L. Giraud, S. Gratton, and J. Langou. A distributed packed storage for large parallel calculations. Technical Report TR/PA/05/30, CERFACS, Toulouse, France, 2005. Preliminary version of the paper published in Concurrency and Computation: Practice and Experience, vol. 19, p. 483-502. [ .ps.gz \| .pdf ]
[8]	G. Alléon, S. Champagneux, G. Chevalier, L. Giraud, and G. Sylvand. Parallel distributed numerical simulations in aeronautic applications. Technical Report TR/CFD-PA/05/44, CERFACS, Toulouse, France, 2005. Preliminary version of the paper published in Applied Mathematical Modelling, vol. 30, p. 714-730, 2006.
[9]	L. Giraud, S. Gratton, and E. Martin. Incremental spectral preconditioners for sequences of linear systems. Technical Report TR/PA/05/17, CERFACS, Toulouse, France, 2005. Preliminary version of the paper to appear in Applied Numerical Mathematics. [ .ps.gz \| .pdf ]
[10]	L. Giraud, S. Gratton, and J. Langou. Convergence in backward error of relaxed GMRES. Technical Report TR/PA/04/132, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in SIAM SISC, vol. 29 (4), p. 1593-1612, 2007. [ .ps.gz \| .pdf ]
[11]	L. Giraud and S. Gratton. On the sensitivity of some spectral preconditioners. Technical Report TR/PA/04/108, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in SIAM J. Matrix Analysis and Applications, vol. 27 (4), P. 1089-1105, 2006. [ .ps.gz \| .pdf ]
[12]	L. Giraud, J. Langou, M. Rozlozník, and J. van den Eshof. Rounding error analysis of the classical Gram-Schmidt orthogonalization process. Technical Report TR/PA/04/77, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in Numerische Mathematik vol. 101 (1), p. 87-100, 2005. [ .ps.gz \| .pdf ]
[13]	L. Giraud, J. Langou, and G. Sylvand. On the parallel solution of large industrial wave propagation problems. Technical Report TR/PA/04/52, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in Journal of Computational Acoustics,vol. 14 (1), p. 83-111, 2006. [ .ps.gz \| .pdf ]
[14]	L. Giraud, S. Gratton, and J. Langou. A note on relaxed and flexible GMRES. Technical Report TR/PA/04/41, CERFACS, Toulouse, France, 2004. [ .ps.gz \| .pdf ]
[15]	L. Giraud, D. Ruiz, and A. Touhami. A comparative study of iterative solvers exploiting spectral information for SPD systems. Technical Report TR/PA/04/40, CERFACS, Toulouse, France, 2004. Also Technical report ENSEEIHT-IRIT RT/TLSE/04/03. Preliminary version of the paper published in SIAM J. Scientific Computing, vol. 27 (5), p. 1760-1786, 2006. [ .ps.gz \| .pdf ]
[16]	B. Carpentieri, L. Giraud, and S. Gratton. Additive and multiplicative two-level spectral preconditioning for general linear systems. Technical Report TR/PA/04/38, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in SIAM J. Scientific Computing, vol. 29 (4), p. 1593-1612, 2007. [ .ps.gz \| .pdf ]
[17]	J. F. Boussuge, S. Champagneux, G. Chevalier, L. Giraud, F. Loercher, and M. Montagnac. How to maintain efficiency on vector and SMP platforms for large aerodynamic calculations. Technical Report TR/CFD/04/37, CERFACS, Toulouse, France, 2004. [ .pdf ]
[18]	M. Baboulin, L. Giraud, and S. Gratton. A parallel distributed solver for large dense symmetric systems: applications to geodesy and electromagnetism problems. Technical Report TR/PA/04/16, CERFACS, Toulouse, France, 2004. Preliminary version of the paper published in Int J. of High Performance Computing Applications, vol. 19 (4), p. 353-363, 2005. [ .ps.gz \| .pdf ]
[19]	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, CERFACS, Toulouse, France, 2003. Also Technical report RAL-TR-2003-023, Preliminary version of the paper published in Int J. Numerical Methods in Engineering vol. 62 (3), p. 416-434, 2005. [ .ps.gz \| .pdf ]
[20]	B. Carpentieri, I. S. Duff, L. Giraud, and G. Sylvand. Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations. Technical Report TR/PA/03/77, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published in SIAM SISC, vol. 27 (3), p. 774-792, 2005. [ .ps.gz \| .pdf ]
[21]	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, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published electronically in the proceedings of the international conference on supercomputing in nuclear application, Paris, 2003.
[22]	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, CERFACS, Toulouse, France, 2003. Preliminary version of the paper published in SIAM SIMAX, vol. 25 (4), p. 1163-1177, 2004. [ .ps.gz \| .pdf ]
[23]	V. Frayssé, L. Giraud, S. Gratton, and J. Langou. A set of GMRES routines for real and complex arithmetics on high performance computers. Tech. Rep. TR/PA/03/3, CERFACS, Toulouse, France, 2003. [ .ps.gz \| .pdf ]
[24]	L. Giraud and M. B. van Gijzen. Large scale acoustic simulations on clusters of SMPs. Technical Report TR/PA/02/116, CERFACS, Toulouse, France, 2002. Preliminary version of the paper to appear in the proceedings of the IMSE2002 conference.
[25]	L. Giraud, A. Marrocco, and J.-C. Rioual. Iterative versus direct parallel substructuring methods in semiconductor device modeling. Technical Report TR/PA/02/114, CERFACS, Toulouse, France, 2002. Preliminary version of the paper published in Numerical Linear Algebra with Applications vol. 12 (1), p. 33-53, 2005. [ .ps.gz \| .pdf ]
[26]	B. Carpentieri, I. S. Duff, and L. Giraud. A class of spectral two-level preconditioners. Technical Report TR/PA/02/55, CERFACS, Toulouse, France, 2002. Also Technical report RAL-TR-2002-020. Preliminary version of the paper published in SIAM SISC, vol. 25 (2), p. 749-765, 2003. [ .ps.gz \| .pdf ]
[27]	L. Giraud and J. Langou. Robust selective Gram-Schmidt reorthogonalization. Technical Report TR/PA/02/52, CERFACS, Toulouse, France, 2002. Preliminary version of the paper published in SIAM SISC, vol. 25 (2), p. 417-441, 2003. [ .ps.gz \| .pdf ]
[28]	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, CERFACS, Toulouse, France, 2002. [ .ps.gz \| .pdf ]
[29]	L. Giraud, J. Koster, A. Marrocco, and J.-C. Rioual. Domain decomposition methods in semiconductor device modeling. Technical Report TR/PA/01/51, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in the proceedings of the 13th conference on Domain Decomposition Methods in Scientific Computing, 2001. [ .ps.gz \| .pdf ]
[30]	B. Carpentieri, I.S. Duff, L. Giraud, and M. Magolu monga Made. Sparse symmetric preconditioners for dense linear systems in electromagnetism. Technical Report TR/PA/01/35, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in Numerical Linear Algebra with Applications, vol. 11 (8-9),p. 753-771, 2004. [ .ps.gz \| .pdf ]
[31]	L. Giraud. Combining shared and distributed memory programming models on clusters of symmetric multiprocessors: Some basic promising experiments. Working Note WN/PA/01/19, CERFACS, Toulouse, France, 2001. Preliminary version of the paper published in Int J. of High Performance Computing Applications, vol. 16 (2), 2002. [ .ps.gz \| .pdf ]
[32]	L. Giraud and J. Langou. When modified Gram-Schmidt generates a well-conditioned set of vectors. Technical Report TR/PA/01/17, CERFACS, Toulouse, France, 2001. Preliminary version of a paper published in IMA Journal of Numerical Analyis vol. 22(4), p. 521-528, 2002. [ .ps.gz \| .pdf ]
[33]	L. Giraud, F. Guevara Vasquez, and R. S. Tuminaro. Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Tech. Rep. TR/PA/01/03, CERFACS, Toulouse, France, 2001. Preliminary version of a paper published in Numerical Linear Algebra with Applications vol. 10, p. 467-484, 2003. [ .ps.gz \| .pdf ]
[34]	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. TH/PA/00/64, CERFACS. [ .html ]
[35]	V. Frayssé and L. Giraud. A set of conjugate gradient routines for real and complex arithmetics. Technical Report TR/PA/00/47, CERFACS, Toulouse, France, 2000. [ .ps.gz ]
[36]	A. Bouras, V. Frayssé, and L. Giraud. A relaxation strategy for inner-outer linear solvers in domain decomposition methods. Technical Report TR/PA/00/17, CERFACS, Toulouse, France, 2000. [ .ps.gz ]
[37]	B. Carpentieri, I. S. Duff, and L. Giraud. Some sparse pattern selection strategies for robust Frobenius norm minimization preconditioners in electromagnetism. Technical Report RAL-TR-2000-009, Rutherford Appleton Laboratory, 2000. Preliminary version of the paper published in Numerical Linear Algebra with Applications, vol. 7 (6-7), p. 667-685, 2000. [ .ps.gz ]
[38]	B. Carpentieri, I. S. Duff, and L. Giraud. Experiments with sparse preconditioning of dense problems from electromagnetic applications. Technical Report TR/PA/00/04, CERFACS, Toulouse, France, 2000. [ .ps.gz ]
[39]	L. M. Carvalho, L. Giraud, and G. Meurant. Local preconditioners for two-level non-overlapping domain decomposition methods. Tech. Rep. TR/PA/99/38, CERFACS, Toulouse, France, France, 1999. Preliminary version of the paper published in Numerical Linear Algebra with Applications, vol. 8 (4), p. 207-227, 2001. [ .ps.gz ]
[40]	L. M. Carvalho and L. Giraud. Parallel subdomain-based preconditioner for the Schur complement. Technical Report TR/PA/99/04, CERFACS, Toulouse, France, 1999. Preliminary version of the proceeding EUROPAR'99 Parallel Processing, 1999. [ .ps.gz ]
[41]	V. Frayssé, L. Giraud, and S. Gratton. A set of flexible-GMRES routines for real and complex arithmetics. Tech. Rep. TR/PA/98/20, CERFACS, Toulouse, France, France, 1998. [ .ps.gz ]
[42]	L. M. Carvalho, L. Giraud, and P. Le Tallec. Algebraic two-level preconditioners for the Schur complement method. Tech. Rep. TR/PA/98/18, CERFACS, Toulouse, France, France, 1998. Preliminary version of the paper published in SIAM SISC, vol. 22 (6), p. 1987-2005, 2001. [ .ps.gz ]
[43]	V. Frayssé and L. Giraud. Comparative study of QMR versus block QMR for J-symmetric matrices in electromagnetism applications. Tech. Rep. TR/PA/98/11, CERFACS, Toulouse, France, 1998.
[44]	V. Frayssé, L. Giraud, and H. Kharraz-Aroussi. On the influence of the orthogonalization scheme on the parallel performance of GMRES. Technical Report TR/PA/98/07, CERFACS, Toulouse, France, 1998. [ .ps.gz ]
[45]	L. Giraud and R. S. Tuminaro. Schur complement preconditioners for anisotropic problems. Tech. Rep. 98-8488J, Sandia National Laboratories, 1998. Preliminary version of the paper published in IMA J. Numerical Analysis, vol. 19 (1), p 1-17, 1999.
[46]	L. Giraud, D. Lugato, and F. Saab. Parallel distributed fast 3D Poisson solver. Tech. Rep. TR/PA/97/58, CERFACS, Toulouse, France, 1997. [ .ps.gz ]
[47]	V. Frayssé, L. Giraud, and S. Gratton. A set of GMRES routines for real and complex arithmetics. Tech. Rep. TR/PA/97/49, CERFACS, Toulouse, France, 1997. [ .ps.gz ]
[48]	L. M. Carvalho and L. Giraud. Block diagonal preconditioners for the Schur complement method. Tech. Rep. TR/PA/97/46, CERFACS, Toulouse, France, France, 1997. Preliminary version of the Saxe-coburg publication, 1999. [ .ps.gz ]
[49]	S. Baldini, L. Giraud, J. M. Jimenez, L. M. Matey, and J. G. Izaguirre. High performance computing in multi-body system design. Technical Report TR/PA/97/27, CERFACS, Toulouse, France, 1997. Preliminary version of the paper published in Int J. Supercomputer Applications, vol. 2 (13), p. 99-106, 1999. [ .ps.gz ]
[50]	S. Baldini, L. Giraud, L. Hamel, J. M. Jimenez, and L. M. Matey. HIPERCOMBATS : a parallel industrial tool for two-wheeler suspensions design. Technical Report TR/PA/97/08, CERFACS, Toulouse, France, 1997. Preliminary version of proceeding in High Performance Computing and Networking, 1997. [ .ps.gz ]
[51]	G. Alléon, M. Benzi, and L. Giraud. Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Technical Report TR/PA/97/05, CERFACS, Toulouse, France, 1997. Preliminary version of the paper published in Numerical Algorithms, vol. 6, p. 1-15, 1997. [ .ps.gz ]
[52]	L. M. Carvalho and L. Giraud. Additive Schwarz for the Schur complement method. Technical Report TR/PA/96/51, CERFACS, Toulouse, France, September 1996. Preliminary version of proceeding in Domain Decomposition Methods in Scientific Computing, 1998. [ .ps.gz ]
[53]	V. Frayssé, L. Giraud, and V. Toumazou. Parallel computation of spectral portraits on the Meiko CS2. Technical Report TR/PA/96/02, CERFACS, Toulouse, France, 1996. Preliminary version of proceeding in High-Performance Computing and Networking, 1996. [ .ps.gz ]
[54]	L. M. Carvalho, I. S. Duff, and L. Giraud. Linear algebra kernels for parallel domain decomposition methods. Technical Report TR/PA/95/26, CERFACS, Toulouse, France, 1995. Preliminary version of proceeding in Advanced Computational Methods in Structural Mechanics, 1996. [ .ps.gz ]
[55]	L. Giraud and R. S. Tuminaro. Time dependent solvers on distributed memory computers. Tech. Rep. TR/PA/95/03, CERFACS, Toulouse, France, 1995. Preliminary version of the paper published in Calculateurs parallèles, vol. 7 (3), p. 255-269, 1995. [ .ps.gz ]
[56]	L. Giraud, P. Noyret, E. Sevault, and V. Van Kemenade. IPM - user's guide and reference manual. Tech. Rep. TR/PA/95/01, CERFACS, Toulouse, France, 1995. [ .ps.gz ]
[57]	L. Giraud and R. S. Tuminaro. Grid transfer operators for highly variable coefficient problems. Tech. Rep. TR/PA/93/37, CERFACS, Toulouse, France, 1993. [ .ps.gz ]
[58]	L. Giraud and R. S. Tuminaro. A domain decomposition probing variant suitable for anisotropic problems. Tech. Rep. TR/PA/93/36, CERFACS, Toulouse, France, 1993. [ .ps.gz ]
[59]	L. Giraud and G. M. Manzini. Parallel implementations of a multidomain explicit high-order accurate Euler solver. Tech. Rep. TR/CFD-PA/93/49, CERFACS, Toulouse, France, 1993. [ .ps.gz ]
[60]	L. Giraud. Shared and distributed implementations of block preconditioned conjugate gradient using domain decomposition on a distributed virtual shared memory computer. Tech. Rep. TR/PA/92/91, CERFACS, Toulouse, France, 1992. [ .ps.gz ]
[61]	L. Giraud. Implantations parallèles de méthodes de sous-domaines synchrones et asynchrones pour la résolution de problèmes aux limites. PhD thesis, Institut National Polytechnique de Toulouse, 1991.
[62]	L. Giraud, P. Spitéri, and J. C. Miellou. Méthodes de gradient conjugué 3D préconditionnées par un solveur 2D de type méthode alternée de Schwarz. Technical Report IRIT/91-6-R, IRIT/URA CNRS 1399, Toulouse, France, 1991.
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