A modified ASOR-like method for augmented linear systems
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For solving an augmented linear system, Njeru and Guo presented an accelerated SOR-like (ASOR) method in (P. N. Njeru and X.-P. Guo. Accelerated SOR-like method for augmented linear systems, BIT Numerical Mathematics. 56, 557–571 2016). By further accelerating the ASOR method, we introduce another parameter and propose a modified ASOR method. We first characterize properties about eigenpairs of the iteration matrix, then discuss the convergence of the modified ASOR method. Numerical experiments are given to show the effectiveness of the modified ASOR method.
KeywordsModified accelerated SOR-like method Augmented linear systems
Mathematics Subject Classification (2010)65F08 65F10 65F50
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We would like to express our sincere thanks to Prof. Tetsuya Sakurai and the two referees for their insightful comments and invaluable suggestions that greatly improved the representation of this paper. The first author also would like to thanks Prof. Eric King-wah Chu for his helpful discussion.
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