2011•Journal of Jinggangshan UniversityRequires access

A MULTI-PARAMETERS PRECONDITIONED AOR ITERATIVE METHOD

Shiguang Zhang

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Abstract

In this paper,we discuss the convergence of a new preconditioned AOR iterative method with a multi-parameters preconditioner and obtain the comparison theorems.It shows that the convergence rate of the preconditioned AOR iterative method is faster than that of the basic AOR iterative method.Finally,a numerical example is given to illustrate the theorems.

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What this paper is about

In this paper,we discuss the convergence of a new preconditioned AOR iterative method with a multi-parameters preconditioner and obtain the comparison theorems.It shows that the convergence rate of the preconditioned AOR iterative method is faster than that of the basic AOR iterative method.Finally,a numerical example is given to illustrate the theorems.

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Available abstract

In this paper,we discuss the convergence of a new preconditioned AOR iterative method with a multi-parameters preconditioner and obtain the comparison theorems.It shows that the convergence rate of the preconditioned AOR iterative method is faster than that of the basic AOR iterative method.Finally,a numerical example is given to illustrate the theorems.

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

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