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2011•Journal of Changchun University of Science and TechnologyRequires access

Preconditioned AOR Iterative Method and Comparison Theorems

Song Dai-cai

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Abstract

Under the preconditioned matrix(P=I+B),a new AOR iterative method is discussed,presenting the convergence quality of the method.This paper also gives the comparison theorems between the proposed AOR iterative method and the classic AOR iterative method.Then a numerical example is given,which explain the precondition iterative method is better than(I+S).

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What this paper is about

Under the preconditioned matrix(P=I+B),a new AOR iterative method is discussed,presenting the convergence quality of the method.This paper also gives the comparison theorems between the proposed AOR iterative method and the classic AOR iterative method.Then a numerical example is given,which explain the precondition iterative method is better than(I+S).

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Available abstract

Under the preconditioned matrix(P=I+B),a new AOR iterative method is discussed,presenting the convergence quality of the method.This paper also gives the comparison theorems between the proposed AOR iterative method and the classic AOR iterative method.Then a numerical example is given,which explain the precondition iterative method is better than(I+S).

Key concepts: Precondition, Iterative method, Convergence (economics), Applied mathematics, Mathematics, Matrix (chemical analysis), Computer science, Mathematical optimization

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