Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems

Joint Authors

Liang, Yan-Jun
Li, Cui-Xia
Wu, Shi-Liang

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-26

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Li, Cui-Xia& Liang, Yan-Jun& Wu, Shi-Liang. 2014. Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033606

Modern Language Association (MLA)

Li, Cui-Xia…[et al.]. Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1033606

American Medical Association (AMA)

Li, Cui-Xia& Liang, Yan-Jun& Wu, Shi-Liang. Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033606

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033606