Title : ( Weighted and flexible versions of block CMRH method for solving nonsymmetric linear systems with multiple right-hand sides )
Authors: saeide amini , Faezeh Toutounian Mashhad ,
Full TextAbstract
Block Krylov subspace methods are the most popular algorithms for solving large nonsymmetric linear systems with multiple right-hand sides. One of them is the block CMRH method. This method generates a (non orthogonal) basis of the Krylov subspace through the block Hessenberg process. To accelerate the convergence of the block CMRH method, we will introduce two new methods. First, we present the block CMRH method with weighting strategy. In this method, the blockCMRHmethod uses a different product at each restart. Second, we introduce a flexible version of the block CMRH algorithm that allows varying preconditioning at every step of the algorithm. Numerical experiments illustrate the benefits of the presented methods
Keywords
, Block CMRH method Block Krylov subspace Weighting strategy Flexible preconditioning Multiple right, hand sides
@article{paperid:1070952,
author = {Amini, Saeide and Toutounian Mashhad, Faezeh},
title = {Weighted and flexible versions of block CMRH method for solving nonsymmetric linear systems with multiple right-hand sides},
journal = {Computers and Mathematics with Applications},
year = {2018},
volume = {76},
number = {76},
month = {August},
issn = {0898-1221},
pages = {2011--2021},
numpages = {10},
keywords = {Block CMRH method
Block Krylov subspace
Weighting strategy
Flexible preconditioning
Multiple right-hand sides},
}
%0 Journal Article
%T Weighted and flexible versions of block CMRH method for solving nonsymmetric linear systems with multiple right-hand sides
%A Amini, Saeide
%A Toutounian Mashhad, Faezeh
%J Computers and Mathematics with Applications
%@ 0898-1221
%D 2018
