Convergence analysis of the corrected Uzawa algorithm for symmetric saddle point problems

被引：1

作者：

Lu Jun-feng ^{[1
]}

机构：

[1] Zhejiang Gongshang Univ, Hangzhou Inst Commerce, Hangzhou 310018, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2014年 / 29卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Saddle point problem; Uzawa algorithm; convergence analysis; INEXACT;

D O I：

10.1007/s11766-014-2828-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the large sparse saddle point problems, Pan and Li recently proposed in [H. K. Pan, W. Li, Math. Numer. Sinica, 2009, 31(3): 231-242] a corrected Uzawa algorithm based on a nonlinear Uzawa algorithm with two nonlinear approximate inverses, and gave the detailed convergence analysis. In this paper, we focus on the convergence analysis of this corrected Uzawa algorithm, some inaccuracies in [H. K. Pan, W. Li, Math. Numer. Sinica, 2009, 31(3): 231-242] are pointed out, and a corrected convergence theorem is presented. A special case of this modified Uzawa algorithm is also discussed.

引用

页码：29 / 35

页数：7

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