A Double-Parameter GPMHSS Method for a Class of Complex Symmetric Linear Systems from Helmholtz Equation. (7th April 2014)

• Record Type: Journal Article
• Authors: Li, Cui-Xia; Wu, Shi-Liang
• Other Names: Hajarian Masoud Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-04-07
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/894242
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Based on the preconditioned MHSS (PMHSS) and generalized PMHSS (GPMHSS) methods, a double-parameter GPMHSS (DGPMHSS) method for solving a class of complex symmetric linear systems from Helmholtz equation is presented. A parameter region of the convergence for DGPMHSS method is provided. From practical point of view, we have analyzed and implemented inexact DGPMHSS (IDGPMHSS) iteration, which employs Krylov subspace methods as its inner processes. Numerical examples are reported to confirm the efficiency of the proposed methods.