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

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

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.

Suggested Citation

  • Cui-Xia Li & Yan-Jun Liang & Shi-Liang Wu, 2014. "Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, May.
    • Handle: RePEc:hin:jnlaaa:206821
    DOI: 10.1155/2014/206821
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