In this paper we present deflation and augmentation techniques that have been
designed to accelerate the convergence of Krylov subspace methods for the
solution of linear systems of equations. We review numerical approaches both
for linear systems with a non-Hermitian coefficient matrix, mainly within the
Arnoldi framework, and for Hermitian positive definite problems with the
conjugate gradient method.
%0 Generic
%1 Coulaud2013Deflation
%A Coulaud, Olivier
%A Giraud, Luc
%A Ramet, Pierre
%A Vasseur, Xavier
%D 2013
%K na
%T Deflation and augmentation techniques in Krylov subspace methods for the solution of linear systems
%U http://arxiv.org/abs/1303.5692
%X In this paper we present deflation and augmentation techniques that have been
designed to accelerate the convergence of Krylov subspace methods for the
solution of linear systems of equations. We review numerical approaches both
for linear systems with a non-Hermitian coefficient matrix, mainly within the
Arnoldi framework, and for Hermitian positive definite problems with the
conjugate gradient method.
@misc{Coulaud2013Deflation,
abstract = {{In this paper we present deflation and augmentation techniques that have been
designed to accelerate the convergence of Krylov subspace methods for the
solution of linear systems of equations. We review numerical approaches both
for linear systems with a non-Hermitian coefficient matrix, mainly within the
Arnoldi framework, and for Hermitian positive definite problems with the
conjugate gradient method.}},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Coulaud, Olivier and Giraud, Luc and Ramet, Pierre and Vasseur, Xavier},
biburl = {https://www.bibsonomy.org/bibtex/2be87c9019e806822d5bdcc8bfcf46652/cmcneile},
citeulike-article-id = {14175288},
citeulike-linkout-0 = {http://arxiv.org/abs/1303.5692},
citeulike-linkout-1 = {http://arxiv.org/pdf/1303.5692},
day = 21,
eprint = {1303.5692},
interhash = {eb39b5edd080565da61f3211d4b0599d},
intrahash = {be87c9019e806822d5bdcc8bfcf46652},
keywords = {na},
month = mar,
posted-at = {2016-11-01 15:06:34},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{Deflation and augmentation techniques in Krylov subspace methods for the solution of linear systems}},
url = {http://arxiv.org/abs/1303.5692},
year = 2013
}