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Mathematical Communications, Vol. 20 No. 1, 2015.

Original scientific paper

Accelerated generalized SOR method for a class of complex systems of linear equations

Vahid Edalatpour ; Faculty of Mathematical Sciences, University of Guilan, Guilan, Rasht, Iran
Davod Hezari ; Faculty of Mathematical Sciences, University of Guilan, Guilan, Rasht, Iran
Davod Khojasteh Salkuyeh ; Faculty of Mathematical Sciences, University of Guilan, Guilan, Rasht, Iran

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Abstract

For solving a broad class of complex symmetric linear systems, recently Salkuyeh et al. recast the system in a real formulation and studied a generalized successive overrelaxation (GSOR) iterative method. In this paper, we introduce an accelerated GSOR (AGSOR) iterative method which involves two iteration parameters. Then, we theoretically study its convergence properties and determine its optimal iteration parameters and corresponding optimal convergence factor. Finally, some numerical computations are presented to validate the theoretical results and compare the performance of the AGSOR method with those of the GSOR and MHSS methods.

Keywords

Complex linear systems; Symmetric positive definite; Optimal parameters; Generalized SOR method; Accelerated GSOR method; MHSS

Hrčak ID:

140386

URI

https://hrcak.srce.hr/140386

Publication date:

1.7.2015.

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