A convergence analysis of the nonlinear Uzawa algorithm for saddle point problems

被引：7

作者：

Lin, Yiqin

Wei, Yimin ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Hunan Univ Sci & Engn, Dept Math & Computat Sci, Yongzhou 425100, Peoples R China

[3] Fudan Univ, Minist Educ, Key Lab Math Nonlinear Sci, Shanghai, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 10期

基金：

中国国家自然科学基金;

关键词：

saddle point problem; Nonlinear uzawa algorithm; convergence behavior; Schur complement; PCG;

D O I：

10.1016/j.aml.2006.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the convergence behavior of the nonlinear inexact Uzawa algorithm for solving saddle point problems presented in a recent paper by Cao [Z.H. Cao, Fast Uzawa algorithm for generalized saddle point problems, Appl. Numer. Math. 46 (2003) 157-171]. We show that this algorithm converges under a condition weaker than that stated in this paper. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1094 / 1098

页数：5

共 7 条

[1]

[Anonymous], 1996, MATRIX COMPUTATION

[2]

Benzi M, 2005, ACTA NUMER, V14, P1, DOI 10.1017/S0962492904000212

[3] Nonlinear Uzawa methods for solving nonsymmetric saddle point problems [J].