A note on the convergence behavior of GMRES

被引：8
|
作者：
Cao, ZH
机构：
[1] Department of Mathematics, Fudan University
来源：
APPLIED NUMERICAL MATHEMATICS | 1997年 / 25卷 / 01期
关键词：
nonsymmetric linear systems; GMRES; FOM; Arnoldi's method; convergence behavior; Ritz values; quasi-Ritz values;
D O I：
10.1016/S0168-9274(97)00039-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we generalize the results on the convergence behavior of GMRES for solving symmetric linear systems as discussed by Paige et al. (1995) to for solving nonsymmetric linear systems. Moreover, we show that the weak point in the comparison process, which was used by van der Vorst and Vuik (1993) to study superlinear convergence behavior, can be overcome easily. (C) 1997 Elsevier Science B.V.
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页码：13 / 20
页数：8
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