Title : ( Block GPBi-CG method for solving nonsymmetric linear systems with multiple right-hand sides and its convergence analysis )
Authors: atefeh taherian , Faezeh Toutounian Mashhad ,
Full TextAbstract
In this paper, the block generalized product-type bi-conjugate gradient (GPBi-CG) method for solving large, sparse nonsymmetric linear systems of equations with multiple right-hand sides is proposed. The new algorithm is based on the block BiCG process.We analyze the convergence behavior of this method and present a bound for the residual norm of block GPBi-CG according to the residual norm of Bl-GMRES method. In addition, we prove that convergence is guaranteed when A is positive real. The numerical experiments show the efficiency of the new method and confirm the theoretical results.
Keywords
, Multiple right, hand sides · Block Krylov subspace · Block BiCG · Block GPBi, CG · Convergence analysis · Block GMRES
@article{paperid:1086382,
author = {Taherian, Atefeh and Toutounian Mashhad, Faezeh},
title = {Block GPBi-CG method for solving nonsymmetric linear systems with multiple right-hand sides and its convergence analysis},
journal = {Numerical Algorithms},
year = {2021},
volume = {88},
number = {4},
month = {December},
issn = {1017-1398},
pages = {1831--1850},
numpages = {19},
keywords = {Multiple right-hand sides · Block Krylov subspace · Block BiCG ·
Block GPBi-CG · Convergence analysis · Block GMRES},
}
%0 Journal Article
%T Block GPBi-CG method for solving nonsymmetric linear systems with multiple right-hand sides and its convergence analysis
%A Taherian, Atefeh
%A Toutounian Mashhad, Faezeh
%J Numerical Algorithms
%@ 1017-1398
%D 2021
