Global Minimal Residual Methods for Nonsymmetric Linear Systems with Multiple Right-hand Sides

被引：0

作者：

Gu, Chuanqing ^{[1
]}

Su, Ying ^{[1
]}

Qian, Hongjun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年

关键词：

Matrix equation; global Lanczos algorithm; block Krylov subspace; nonsymmetric linear Systems; multiple right-hand sides;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents the minimal residual methods (MRES) for solving nonsymmetric linear systems with multiple right-hand sides. These methods are based on the global Lancozs algorithm which are formed by implementing orthogonal projections of the initial matrix residual onto a matrix Krylov subspace. The algorithm avoids tedious long Arnoldi process and expensive storage..

引用

页码：75 / 78

页数：4

共 6 条

[1]

ERXIONG J, 1999, P 97 INT C NUM OPT N, P26

[2] A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides [J].

Freund, RW ;

Malhotra, M .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 254 :119-157

[3] Global SCD algorithm for real positive definite linear systems with multiple right-hand sides [J].

Gu, Chuanqing ;

Yang, Zhenxin .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) :59-67

[4] Global FOM and GMRES algorithms for matrix equations [J].

Jbilou, K ;

Messaoudi, A ;

Sadok, H .

APPLIED NUMERICAL MATHEMATICS, 1999, 31 (01) :49-63

[5] LSQR - AN ALGORITHM FOR SPARSE LINEAR-EQUATIONS AND SPARSE LEAST-SQUARES [J].

PAIGE, CC ;

SAUNDERS, MA .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1982, 8 (01) :43-71

[6] Convergence properties of block GMRES and matrix polynomials [J].

Simoncini, V ;

Gallopoulos, E .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 247 :97-119

← 1 →