2009•Journal of Lanzhou UniversityRequires access

NEW PRECONDITIONED AOR ITERATIVE METHOD AND COMPARISON THEOREMS

Jingyu Zhao

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Abstract

A new preconditioned matrix was proposed,the convergence of the new preconditioned AOR iterative method was discussed and some new comparison theorems between two different preconditioned AOR methods and between the new preconditioned AOR method and the classical AOR iterative method were established.Finally,numerical experiments were used to demonstrate the feasibility and effectiveness of the new preconditioned AOR iterative method.

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What this paper is about

A new preconditioned matrix was proposed,the convergence of the new preconditioned AOR iterative method was discussed and some new comparison theorems between two different preconditioned AOR methods and between the new preconditioned AOR method and the classical AOR iterative method were established.Finally,numerical experiments were used to demonstrate the feasibility and effectiveness of the new preconditioned AOR iterative method.

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Available abstract

A new preconditioned matrix was proposed,the convergence of the new preconditioned AOR iterative method was discussed and some new comparison theorems between two different preconditioned AOR methods and between the new preconditioned AOR method and the classical AOR iterative method were established.Finally,numerical experiments were used to demonstrate the feasibility and effectiveness of the new preconditioned AOR iterative method.

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

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