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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 42-324
Full Name: jianlei li
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: School of Mathematical Science,University of Electronic Science and Technology of China,Chengdu, Sichuan, 611731, P. R. China
Country: CHINA
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E-mail address: hnmaths@163.com
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Title of the Paper: On the semi-convergence of the local Hermitian and skew-Hermitian splitting iteration methods for singular generalized saddle point problems
Authors as they appear in the Paper: Jianlei Li, Shiliang Wu
Email addresses of all the authors: hnmaths@163.com,wushiliang1999@126.com
Number of paper pages: 10
Abstract: In this paper, we investigate the local Hermitian and skew-Hermitian splitting (LHSS) iteration method and the modified LHSS (MLHSS) iteration method for solving singular generalized saddle point problems. When A is non-Hermitian positive definite and the Hermitian part of A is dominant, the semi-convergence conditions are proposed, which generalize some results of Jiang and Cao [On local Hermitian and Skew-Hermitian splitting iteration methods for generalized saddle point problems, J. Comput. Appl. Math., 2009(231): 973-982] for the nonsingular generalized saddle point problems to the singular generalized saddle point problems.
Keywords: Preconditioner; Singular generalized saddle point problems; Hermitian and skew-Hermitian splitting; Semi-convergence; Iterative method
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