文献类型：期刊文献

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

作者：Ren, Zhi-Ru[1];Cao, Yang[2];Zhang, Li-Li[3]

第一作者：Ren, Zhi-Ru

通讯作者：Cao, Y[1]

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

第一机构：Cent Univ Finance & Econ, Sch Math & Stat, Beijing 100081, Peoples R China

通讯机构：[1]corresponding author), Nantong Univ, Sch Transportat, Nantong 226019, Peoples R China.

年份：2016

卷号：6

期号：2

起止页码：192-210

外文期刊名：EAST ASIAN JOURNAL ON APPLIED MATHEMATICS

收录：;Scopus(收录号：2-s2.0-84966697298);WOS:【SCI-EXPANDED(收录号:WOS:000376171200005)】；

基金：This work was supported by the National Natural Science Foundation of China (Nos. 11301521, 11301290, 11301141) and Development Fund for Young Teacher of Central University of Finance and Economics (No. QJJ1517).

语种：英文

外文关键词：Complex linear systems; PMHSS iteration; real-valued form; convergence; preconditioning

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.