Deflation and augmentation techniques in Krylov subspace methods for the solution of linear systems
Numerical Analysis
2013-03-25 v1
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.
Cite
@article{arxiv.1303.5692,
title = {Deflation and augmentation techniques in Krylov subspace methods for the solution of linear systems},
author = {Olivier Coulaud and Luc Giraud and Pierre Ramet and Xavier Vasseur},
journal= {arXiv preprint arXiv:1303.5692},
year = {2013}
}