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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 1, Pages 71–80
(Mi sjvm500)
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This article is cited in 8 scientific papers (total in 8 papers)
Comparison analysis for improving preconditioned SOR-type iterative method
H. Saberi Najafia, S. A. Edalatpanahb a Department of Mathematics, Faculty of Sciences, University of Guilan, Rasht, Iran
b Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
Abstract:
In this article, on the basis of nonnegative matrices, some preconditioners from class of $(I+S)$-type based on the SOR method have been studied. Moreover, we prove the monotonicity of spectral radiuses of iterative matrices with respect to the parameters in [12]. Also, some splittings and preconditioners are compared and derived by comparisons. A numerical example is also given to illustrate our results.
Key words:
preconditioning, comparison theorems, spectral radius, SOR, $L$-, $M$-matrix.
Received: 02.06.2011 Revised: 24.10.2011
Citation:
H. Saberi Najafi, S. A. Edalatpanah, “Comparison analysis for improving preconditioned SOR-type iterative method”, Sib. Zh. Vychisl. Mat., 16:1 (2013), 71–80; Num. Anal. Appl., 6:1 (2013), 62–70
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https://www.mathnet.ru/eng/sjvm500 https://www.mathnet.ru/eng/sjvm/v16/i1/p71
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Abstract page: | 346 | Full-text PDF : | 65 | References: | 39 | First page: | 3 |
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