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ANALYSIS OF THE INEXACT UZAWA ALGORITHMS FOR NONLINEAR SADDLE-POINT PROBLEMS

Part of:Numerical linear algebra

Published online by Cambridge University Press:  21 October 2010

JIAN-LEI LI,
TING-ZHU HUANG and
LIANG LI
JIAN-LEI LI*
Affiliation:
School of Mathematical Sciences, University of Electronic, Science and Technology of China, Chengdu, Sichuan 611731, PR China (email: hnmaths@163.com, tingzhuhuang@126.com, plum_liliang@uestc.edu.cn)
TING-ZHU HUANG
Affiliation:
School of Mathematical Sciences, University of Electronic, Science and Technology of China, Chengdu, Sichuan 611731, PR China (email: hnmaths@163.com, tingzhuhuang@126.com, plum_liliang@uestc.edu.cn)
LIANG LI
Affiliation:
School of Mathematical Sciences, University of Electronic, Science and Technology of China, Chengdu, Sichuan 611731, PR China (email: hnmaths@163.com, tingzhuhuang@126.com, plum_liliang@uestc.edu.cn)
*
✉For correspondence; e-mail: hnmaths@163.com
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Abstract

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Inexact Uzawa algorithms for solving nonlinear saddle-point problems are proposed. A simple sufficient condition for the convergence of the inexact Uzawa algorithms is obtained. Numerical experiments show that the inexact Uzawa algorithms are convergent.

Keywords

convergence analysisinexact Uzawa algorithmiterative methodsnonlinear saddle-point problemspreconditioner

MSC classification

Secondary:65F10: Iterative methods for linear systems

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 51 , Issue 3 , January 2010, pp. 369 - 382
Copyright
Copyright © Australian Mathematical Society 2010

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