Comparison Results on Preconditioned AOR-Type Iterative Method for M-Matrices

Ting Zhou; Hong Fang Cui

doi:10.4028/www.scientific.net/AMR.756-759.2629

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 756-759Comparison Results on Preconditioned AOR-Type...

Comparison Results on Preconditioned AOR-Type Iterative Method for M-Matrices

Abstract:

For solving the linear system, different preconditioned iterative methods have been proposed by many authors. M-matrices appear in many areas of science and engineering. In this paper, we present preconditioned AOR-type iterative method and the SOR-type iterative method with a preconditioner for solving the M-matrices. In addition, the relation between the convergence rate of preconditioned AOR-type iterative method and the parameters are brought to light. Finally, a numerical example is also given to illustrate the results.

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Periodical:

Advanced Materials Research (Volumes 756-759)

Pages:

2629-2633

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.756-759.2629

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Online since:

September 2013

Authors:

Ting Zhou, Hong Fang Cui

Keywords:

AOR-Type Iterative Method, M-Matrix, Preconditioner, Spectral Radius

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