An efficient block variant of GMRES, Table SIAM J. Scientific Computing, vol.1, issue.27, pp.1608-1626, 2006. ,
On Improving Linear Solver Performance: A Block Variant of GMRES, SIAM Journal on Scientific Computing, vol.27, issue.5, pp.1608-1628, 2006. ,
DOI : 10.1137/040608088
A simple strategy for varying the restart parameter in GMRES(<mml:math altimg="si26.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>m</mml:mi></mml:math>), Journal of Computational and Applied Mathematics, vol.230, issue.2, pp.751-761, 2009. ,
DOI : 10.1016/j.cam.2009.01.009
A Technique for Accelerating the Convergence of Restarted GMRES, SIAM Journal on Matrix Analysis and Applications, vol.26, issue.4, pp.962-984, 2005. ,
DOI : 10.1137/S0895479803422014
Flexible Variants of Block Restarted GMRES Methods with Application to Geophysics, SIAM Journal on Scientific Computing, vol.34, issue.2, pp.714-736, 2012. ,
DOI : 10.1137/10082364X
URL : https://hal.archives-ouvertes.fr/hal-01332926
Implicitly restarted and deflated GMRES, Numerical Algorithms, vol.21, issue.1/4, pp.261-285, 1999. ,
DOI : 10.1023/A:1019113630790
URL : https://hal.archives-ouvertes.fr/hal-01150531
Deflated and augmented Krylov subspace techniques. Numerical Linear Algebra with Applications, pp.43-66, 1997. ,
Deflated GMRES for systems with multiple shifts and multiple right-hand sides, Linear Algebra and its Applications, vol.429, issue.10, pp.2415-2434, 2008. ,
DOI : 10.1016/j.laa.2008.04.019
The university of Florida sparse matrix collection, ACM Transactions on Mathematical Software, vol.38, issue.1, 1994. ,
DOI : 10.1145/2049662.2049663
Sparse matrix test problems, ACM Transactions on Mathematical Software, vol.15, issue.1, pp.1-14, 1989. ,
DOI : 10.1145/62038.62043
Analysis of acceleration strategies for restarted minimal residual methods, Journal of Computational and Applied Mathematics, vol.123, issue.1-2, pp.261-292, 2000. ,
DOI : 10.1016/S0377-0427(00)00398-8
The Tortoise and the Hare Restart GMRES, SIAM Review, vol.45, issue.2, pp.259-266, 2003. ,
DOI : 10.1137/S003614450139961
A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides, Linear Algebra and its Applications, vol.254, issue.1-3, pp.119-157, 1997. ,
DOI : 10.1016/S0024-3795(96)00529-0
A Framework for Deflated and Augmented Krylov Subspace Methods, SIAM Journal on Matrix Analysis and Applications, vol.34, issue.2, pp.495-518, 2013. ,
DOI : 10.1137/110820713
Incremental spectral preconditioners for sequences of linear systems, Applied Numerical Mathematics, vol.57, issue.11-12, pp.11-121164, 2007. ,
DOI : 10.1016/j.apnum.2007.01.005
Flexible GMRES with Deflated Restarting, SIAM Journal on Scientific Computing, vol.32, issue.4, pp.1858-1878, 2010. ,
DOI : 10.1137/080741847
URL : https://hal.archives-ouvertes.fr/inria-00542426
A block GMRES method augmented with eigenvectors, Applied Mathematics and Computation, vol.121, issue.2-3, pp.271-289, 2001. ,
DOI : 10.1016/S0096-3003(99)00294-5
Block Krylov space methods for linear systems with multiple right-hand sides: an introduction, Modern Mathematical Models, Methods and Algorithms for Real World Systems, 2006. ,
Deflated and Augmented Krylov Subspace Methods: A Framework for Deflated BiCG and Related Solvers, SIAM Journal on Matrix Analysis and Applications, vol.35, issue.4, 2014. ,
DOI : 10.1137/130923087
Global FOM and GMRES algorithms for matrix equations, Applied Numerical Mathematics, vol.31, issue.1, pp.49-63, 1999. ,
DOI : 10.1016/S0168-9274(98)00094-4
Lanczos-type variants of the COCR method for complex nonsymmetric linear systems, Journal of Computational Physics, vol.228, issue.17, pp.6376-6394, 2009. ,
DOI : 10.1016/j.jcp.2009.05.022
Iterative methods for solving linear systems with multiple right-hand sides, CERFACS, vol.24, 2003. ,
A block variant of the GMRES method on massively parallel processors, Parallel Computing, vol.23, issue.8, pp.1005-1019, 1997. ,
DOI : 10.1016/S0167-8191(97)00004-5
Simpler block GMRES for nonsymmetric systems with multiple right hand sides, Electronic Transactions on Numerical Analysis, vol.30, pp.1-9, 2008. ,
Computing interior eigenvalues of large matrices. Linear Algebra and its Applications, pp.289-309, 1991. ,
A Restarted GMRES Method Augmented with Eigenvectors, SIAM Journal on Matrix Analysis and Applications, vol.16, issue.4, pp.1154-1171, 1995. ,
DOI : 10.1137/S0895479893253975
GMRES with Deflated Restarting, SIAM Journal on Scientific Computing, vol.24, issue.1, pp.20-37, 2002. ,
DOI : 10.1137/S1064827599364659
Restarted block-GMRES with deflation of eigenvalues, Applied Numerical Mathematics, vol.54, issue.2, pp.222-236, 2005. ,
DOI : 10.1016/j.apnum.2004.09.028
Harmonic projection methods for large non-symmetric eigenvalue problems, Numerical Linear Algebra with Applications, vol.45, issue.1, pp.33-55, 1998. ,
DOI : 10.1002/(SICI)1099-1506(199801/02)5:1<33::AID-NLA125>3.0.CO;2-1
Approximate solutions and eigenvalue bounds from Krylov subspaces. Numerical Linear Algebra with Applications Recycling Krylov subspaces for sequences of linear systems, SIAM J. Scientific Computing, vol.2, issue.285, pp.115-1331651, 1995. ,
A convergence analysis of GMRES and FOM methods for sylvester equations, Numerical Algorithms, vol.30, issue.1, pp.71-89, 2002. ,
DOI : 10.1023/A:1015615310584
Exact and inexact breakdowns in the block GMRES method, Linear Algebra and its Applications, vol.419, issue.1, pp.265-285, 2006. ,
DOI : 10.1016/j.laa.2006.04.018
Analysis of Augmented Krylov Subspace Methods, SIAM Journal on Matrix Analysis and Applications, vol.18, issue.2, pp.435-449, 1997. ,
DOI : 10.1137/S0895479895294289
Iterative Methods for Sparse Linear Systems, 2003. ,
DOI : 10.1137/1.9780898718003
An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides, SIAM Journal on Scientific Computing, vol.16, issue.4, pp.917-933, 1995. ,
DOI : 10.1137/0916053
Convergence properties of block GMRES and matrix polynomials, Linear Algebra and its Applications, vol.247, pp.97-119, 1996. ,
DOI : 10.1016/0024-3795(95)00093-3
A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides, Journal of Computational and Applied Mathematics, vol.66, issue.1-2, pp.457-469, 1996. ,
DOI : 10.1016/0377-0427(95)00198-0
A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems, SIAM Review, vol.42, issue.2, pp.401-425, 1996. ,
DOI : 10.1137/S0036144599363084
Selected works with commentaries, Contemporary Mathematicians, pp.729-735, 2010. ,
The Cycle-Convergence of Restarted GMRES for Normal Matrices Is Sublinear, SIAM Journal on Scientific Computing, vol.32, issue.1, pp.186-196, 2010. ,
DOI : 10.1137/080727403
Étude de quelques méthodes de résolution de problèmes linéaires de grande taille sur multiprocesseur, 1990. ,