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2006•Journal of Jinling Institute of TechnologyRequires access

Convergence and Comparison Theorems of the Preconditioned AOR Iterative Methods

WU Mei-jun, Yi Zhang

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Abstract

The preconditioned Gauss-Seidel iterative method with the preconditioner(I+S_a) has been proposed by Kohno et al.In this paper,we consider the preconditioned AOR iterative method with the same preconditoiner.After presenting the convergence analysis about the method,we also give the comparison theorems between the proposed AOR iterative method and the classic AOR iterative method.

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What this paper is about

The preconditioned Gauss-Seidel iterative method with the preconditioner(I+S_a) has been proposed by Kohno et al.In this paper,we consider the preconditioned AOR iterative method with the same preconditoiner.After presenting the convergence analysis about the method,we also give the comparison theorems between the proposed AOR iterative method and the classic AOR iterative method.

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Available abstract

The preconditioned Gauss-Seidel iterative method with the preconditioner(I+S_a) has been proposed by Kohno et al.In this paper,we consider the preconditioned AOR iterative method with the same preconditoiner.After presenting the convergence analysis about the method,we also give the comparison theorems between the proposed AOR iterative method and the classic AOR iterative method.

Key concepts: Preconditioner, Iterative method, Convergence (economics), Mathematics, Applied mathematics, Mathematical optimization, Algorithm, Economic growth

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