2013•Advanced materials researchOpen access

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

Ting Zhou, Hong Fang Cui

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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Key concepts: Preconditioner, Iterative method, Applied mathematics, Mathematics, Convergence (economics), Rate of convergence, Type (biology), Mathematical optimization