On the convergence of iterative methods for semidefinite linear systems

被引：30
|
作者：
Lee, Young-Ju
Wu, Jinbiao
Xu, Jinchao
Zikatanov, Ludmil
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
[2] Peking Univ, Sch Math Sci, Lab Math & Appl Math, Beijing 100871, Peoples R China
[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2006年 / 28卷 / 03期
关键词：
iterative methods; matrix splittings; P-regularity; weak regularity; energy norm convergence;
D O I：
10.1137/050644197
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Necessary and sufficient conditions for the energy norm convergence of the classical iterative methods for semidefinite linear systems are obtained in this paper. These new conditions generalize the classic notion of the P-regularity introduced by Keller [J. Soc. Indust. Appl. Math. Ser. B Numer. Anal., 2 ( 1965), pp. 281 - 290].
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页码：634 / 641
页数：8
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