Several variants of the Hermitian and skew‐Hermitian splitting method for a class of complex symmetric linear systems | Zendy

Wu ShiLiang | Zendy

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Several variants of the Hermitian and skew‐Hermitian splitting method for a class of complex symmetric linear systems

Author(s) -

Wu ShiLiang

Publication year - 2015

Publication title -

numerical linear algebra with applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.02

H-Index - 53

eISSN - 1099-1506

pISSN - 1070-5325

DOI - 10.1002/nla.1952

Subject(s) - hermitian matrix , mathematics , hermitian function , class (philosophy) , linear system , skew , skew symmetric matrix , pure mathematics , symmetric matrix , mathematical analysis , computer science , physics , square matrix , artificial intelligence , telecommunications , eigenvalues and eigenvectors , quantum mechanics

Summary This paper is concerned with several variants of the Hermitian and skew‐Hermitian splitting iteration method to solve a class of complex symmetric linear systems. Theoretical analysis shows that several Hermitian and skew‐Hermitian splitting based iteration methods are unconditionally convergent. Numerical experiments from an n ‐degree‐of‐freedom linear system are reported to illustrate the efficiency of the proposed methods. Copyright © 2014 John Wiley & Sons, Ltd.

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