Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2015; 52(5): 1669-1681

Printed September 30, 2015

https://doi.org/10.4134/BKMS.2015.52.5.1669

Copyright © The Korean Mathematical Society.

Semi-convergence of the parameterized inexact Uzawa method for singular saddle point problems

Jae Heon Yun

Chungbuk National University

Abstract

In this paper, we provide semi-convergence results of the parameterized inexact Uzawa method with singular preconditioners for solving singular saddle point problems. We also provide numerical experiments to examine the effectiveness of the parameterized inexact Uzawa method with singular preconditioners.

Keywords: singular saddle point problem, iterative method, Uzawa method, semi-convergence, Moore-Penrose inverse

MSC numbers: 65F10, 65F50