JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (8): 61-65.doi: 10.6040/j.issn.1671-9352.0.2015.402

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On successive-overrelaxation acceleration of MHSS iterations

WANG Yang1, ZHAO Yan-jun2*, FENG Yi-fu2   

  1. 1. College of Mathmatics, Jilin Normal University, Siping 136100, Jilin, China;
    2. College of Humanities &
    Sciences of Northeast Normal University, Changchun 130117, Jilin, China
  • Received:2015-08-24 Online:2016-08-20 Published:2016-08-08

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Abstract: Modified Hermitian and skew-Hermitian splitting(MHSS)iteration method is an unconditionally convergent method for solving large sparse complex symmetric linear systems. Based on successive-overrelaxation technique, a class of accelerated MHSS iterative method is presented, then convergence theorems is established for the new method. Moreover, a selection method of the parameter ω is given. Numerical experiment demonstrate that new method can effectively improve the efficiency of MHSS iterative method for solving linear algebraic equations.

Key words: Hermitian/skew-Hermitian Splitting, convergence analysis, complex symmetric linear systems

CLC Number: 

  • O241.82
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