On a New SSOR-Like Method with Four Parameters for the Augmented Systems

On a New SSOR-Like Method with Four Parameters for the Augmented Systems

Year:    2017

East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 1 : pp. 82–100

Abstract

In this paper, we propose a new SSOR-like method with four parameters to solve the augmented system. And we analyze the convergence of the method and get the optimal convergence factor under suitable conditions. It is proved that the optimal convergence factor is the same as the GMPSD method [M.A. Louka and N.M. Missirlis, A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented systems, Numer. Math. 131(2015) 517-540] with five parameters under the same assumption.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.190716.081116a

East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 1 : pp. 82–100

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Convergence SSOR-like method convergence factor.

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