A block alternating splitting iteration method for a class of block two-by-two complex linear systems

被引：25

作者：

Zheng, Zhong ^{[1
]}

Zhang, Guo-Feng ^{[1
]}

Zhu, Mu-Zheng ^{[1
,2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Hexi Univ, Sch Math & Stat, Zhangye 734000, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 288卷

基金：

中国国家自然科学基金;

关键词：

Saddle-point problems; Iteration methods; Preconditioning; Time-periodic parabolic equations; Discretize-then-optimization; PRECONDITIONERS;

D O I：

10.1016/j.cam.2015.04.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimization problems with partial differential equations as constraints arise widely in many areas of science and engineering. In this paper, we focus on solving a class of block two-by-two complex linear systems arising from the distributed optimal control with time-periodic parabolic equations. A new block alternating splitting (BAS) iteration method is presented for solving the class of complex linear systems. The convergence theory and the spectral properties of the BAS iteration method are discussed. Numerical experiments are presented to illustrate the efficiency of the BAS iteration as a solver as well as a preconditioner for Krylov subspace methods. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：203 / 214

页数：12

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