Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems. (26th May 2014)

• Record Type: Journal Article
• Authors: Li, Cui-Xia; Liang, Yan-Jun; Wu, Shi-Liang
• Other Names: Ozban Ahmet Yasar Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-05-26
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/206821
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : Based on the modified Hermitian and skew-Hermitian splitting (MHSS) and preconditioned MHSS (PMHSS) methods, a generalized preconditioned MHSS (GPMHSS) method for a class of complex symmetric linear systems is presented. Theoretical analysis gives an upper bound for the spectral radius of the iteration matrix. From a practical point of view, we have analyzed and implemented inexact GPMHSS (IGPMHSS) iteration, which employs Krylov subspace methods as its inner processes. Numerical experiments are reported to confirm the efficiency of the proposed methods.