On Preconditioned MHSS Real-Valued Iteration Methods for a Class of Complex Symmetric Indefinite Linear Systems

被引：14
|
作者：
Ren, Zhi-Ru [1 ]
Cao, Yang [2 ]
Zhang, Li-Li [3 ]
机构：
[1] Cent Univ Finance & Econ, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Nantong Univ, Sch Transportat, Nantong 226019, Peoples R China
[3] Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2016年 / 6卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Complex linear systems; PMHSS iteration; real-valued form; convergence; preconditioning;
D O I：
10.4208/eajam.141015.260216a
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalized preconditioned modified Hermitian and skew-Hermitian splitting (GPMHSS) real-valued iteration method is proposed for a class of complex symmetric indefinite linear systems. Convergence theory is established and the spectral properties of an associated preconditioned matrix are analyzed. We also give several variants of the GPMHSS preconditioner and consider the spectral properties of the preconditioned matrices. Numerical examples illustrate the effectiveness of our proposed method.
引用
收藏
页码：192 / 210
页数：19
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