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2007•Journal of Lanzhou UniversityRequires access

Convergence theorems for AOR and 2PPJ iterative methods with the precondition(I+S_α)

Xue Qiu-fang

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Abstract

The precondition(I+S_α)is considered to be applied to the AOR iterative method and 2PPJ iterative method.Convergence theorems for the methods are obtained and it is theoretically proved that the convergent speed of the original methods has been improved.

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What this paper is about

The precondition(I+S_α)is considered to be applied to the AOR iterative method and 2PPJ iterative method.Convergence theorems for the methods are obtained and it is theoretically proved that the convergent speed of the original methods has been improved.

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Available abstract

The precondition(I+S_α)is considered to be applied to the AOR iterative method and 2PPJ iterative method.Convergence theorems for the methods are obtained and it is theoretically proved that the convergent speed of the original methods has been improved.

Key concepts: Precondition, Convergence (economics), Iterative method, Applied mathematics, Mathematics, Local convergence, Mathematical optimization, Computer science

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