A Double-Parameter GPMHSS Method for a Class of Complex Symmetric Linear Systems from Helmholtz Equation | Zendy

Cui-Xia Li | Zendy; Shi-Liang Wu | Zendy

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A Double-Parameter GPMHSS Method for a Class of Complex Symmetric Linear Systems from Helmholtz Equation

Author(s) -

Cui-Xia Li,

Shi-Liang Wu

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/894242

Subject(s) - krylov subspace , helmholtz equation , mathematics , convergence (economics) , helmholtz free energy , class (philosophy) , linear system , subspace topology , mathematical analysis , computer science , physics , boundary value problem , quantum mechanics , artificial intelligence , economics , economic growth

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

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