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ORCIDGérard Meurant
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Journal Articles
- 2023
[j32]Gérard Meurant
:
Detection and correction of silent errors in the conjugate gradient algorithm. Numer. Algorithms 92(1): 869-891 (2023)- [j31]Gérard Meurant, Petr Tichý:
The behavior of the Gauss-Radau upper bound of the error norm in CG. Numer. Algorithms 94(2): 847-876 (2023) - 2021
- [j30]Gérard Meurant, Jan Papez, Petr Tichý:
Accurate error estimation in CG. Numer. Algorithms 88(3): 1337-1359 (2021) - 2020
- [j29]Jurjen Duintjer Tebbens, Gérard Meurant:
On the residual norms, the Ritz values and the harmonic Ritz values that can be generated by restarted GMRES. Numer. Algorithms 84(4): 1329-1352 (2020) - [j28]Gérard Meurant:
On prescribing the convergence behavior of the conjugate gradient algorithm. Numer. Algorithms 84(4): 1353-1380 (2020) - 2019
- [j27]Gérard Meurant, Alvise Sommariva:
On the computation of sets of points with low Lebesgue constant on the unit disk. J. Comput. Appl. Math. 345: 388-404 (2019) - [j26]Gérard Meurant:
Preface. Numer. Algorithms 80(1): 1-3 (2019) - [j25]Gérard Meurant:
Postface. Numer. Algorithms 80(1): 303 (2019) - [j24]Gérard Meurant, Petr Tichý:
Approximating the extreme Ritz values and upper bounds for the A-norm of the error in CG. Numer. Algorithms 82(3): 937-968 (2019) - 2017
- [j23]Gérard Meurant:
The Coefficients of the FOM and GMRES Residual Polynomials. SIAM J. Matrix Anal. Appl. 38(1): 96-117 (2017) - 2015
- [j22]Gérard Meurant, Jurjen Duintjer Tebbens:
The role eigenvalues play in forming GMRES residual norms with non-normal matrices. Numer. Algorithms 68(1): 143-165 (2015) - 2014
- [j21]Jurjen Duintjer Tebbens, Gérard Meurant:
Prescribing the behavior of early terminating GMRES and Arnoldi iterations. Numer. Algorithms 65(1): 69-90 (2014) - [j20]Gérard Meurant, Petr Tichý:
Erratum to: On computing quadrature-based bounds for the A-norm of the error in conjugate gradients. Numer. Algorithms 66(3): 679-680 (2014) - [j19]Gérard Meurant, Alvise Sommariva:
Fast variants of the Golub and Welsch algorithm for symmetric weight functions in Matlab. Numer. Algorithms 67(3): 491-506 (2014) - 2013
- [j18]Gérard Meurant, Petr Tichý:
On computing quadrature-based bounds for the A-norm of the error in conjugate gradients. Numer. Algorithms 62(2): 163-191 (2013) - 2012
- [j17]Gérard Meurant:
The computation of isotropic vectors. Numer. Algorithms 60(2): 193-204 (2012) - [j16]Jurjen Duintjer Tebbens, Gérard Meurant:
Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES. SIAM J. Matrix Anal. Appl. 33(3): 958-978 (2012) - 2011
- [j15]Gérard Meurant:
On the Residual Norm in FOM and GMRES. SIAM J. Matrix Anal. Appl. 32(2): 394-411 (2011) - [j14]Gérard Meurant:
Estimates of the Norm of the Error in Solving Linear Systems with FOM and GMRES. SIAM J. Sci. Comput. 33(5): 2686-2705 (2011) - 2009
- [j13]Gérard Meurant:
Gene H. Golub 1932-2007. Numer. Algorithms 51(1): 1-4 (2009) - [j12]Gérard Meurant:
Estimates of the trace of the inverse of a symmetric matrix using the modified Chebyshev algorithm. Numer. Algorithms 51(3): 309-318 (2009) - [j11]R. Bouyouli, Gérard Meurant, Laurent Smoch, Hassane Sadok:
New results on the convergence of the conjugate gradient method. Numer. Linear Algebra Appl. 16(3): 223-236 (2009) - 2005
- [j10]Gérard Meurant:
Estimates of the l2 norm of the error in the conjugate gradient algorithm. Numer. Algorithms 40(2): 157-169 (2005) - 2002
- [j9]Gérard Meurant:
A Multilevel AINV Preconditioner. Numer. Algorithms 29(1-3): 107-129 (2002) - 2001
- [j8]Luiz Mariano Carvalho, Luc Giraud, Gérard Meurant:
Local preconditioners for two-level non-overlapping domain decomposition methods. Numer. Linear Algebra Appl. 8(4): 207-227 (2001) - [j7]Gérard Meurant:
On the Incomplete Cholesky Decomposition of a Class of Perturbed Matrices. SIAM J. Sci. Comput. 23(2): 419-429 (2001) - 1999
- [j6]Gérard Meurant:
Numerical experiments in computing bounds for the norm of the error in the preconditioned conjugate gradient algorithm. Numer. Algorithms 22(3-4): 353-365 (1999) - 1997
- [j5]Gérard Meurant:
The computation of bounds for the norm of the error in the conjugate gradient algorithm. Numer. Algorithms 16(1): 77-87 (1997) - 1993
- [j4]Pascal Joly, Gérard Meurant:
Complex conjugate gradient methods. Numer. Algorithms 4(3): 379-406 (1993) - 1992
- [j3]Gérard Meurant:
A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices. SIAM J. Matrix Anal. Appl. 13(3): 707-728 (1992) - 1987
- [j2]Gérard Meurant:
Multitasking the conjugate gradient method on the CRAY X-MP/48. Parallel Comput. 5(3): 267-280 (1987) - 1986
- [j1]Yves Chauvet, Gérard Meurant:
Multitasking on the CRAY X-MP. J. Syst. Softw. 6(1-2): 17-20 (1986)
Conference and Workshop Papers
- 1987
- [c1]Gérard Meurant:
Incomplete Domain Decomposition Preconditioners for the Conjugate Gradient Method. PP 1987: 100-106
Parts in Books or Collections
- 2007
- [p1]Gene H. Golub, Gérard Meurant:
Matrices, moments, and quadrature. Milestones in Matrix Computation 2007: 380-433
Informal and Other Publications
- 2024
- [i3]Tyler Chen, Gérard Meurant:
Near-optimal convergence of the full orthogonalization method. CoRR abs/2403.07259 (2024) - 2022
- [i2]Gérard Meurant, Petr Tichý:
The behaviour of the Gauss-Radau upper bound of the error norm in CG. CoRR abs/2209.14601 (2022) - 2021
- [i1]Gérard Meurant, Jan Papez, Petr Tichý:
Accurate error estimation in CG. CoRR abs/2101.03931 (2021)
Coauthor Index
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