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Further Study on the New USSOR Iterative Methods

Da‐Wei Chang

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Abstract

The precondition Ps=I+S and Pm=I+Smax is considered to be applied to the new USSOR iterative method.The convergence of the new methed is discussed and the comparison theorem of some preconditioned matrix are also obtained.At the same time,it is theoretically proved that the convergence speed of the original method has been improved.One numerical examples are given to illustrate the theorems.

About this research paper

What this paper is about

The precondition Ps=I+S and Pm=I+Smax is considered to be applied to the new USSOR iterative method.The convergence of the new methed is discussed and the comparison theorem of some preconditioned matrix are also obtained.At the same time,it is theoretically proved that the convergence speed of the original method has been improved.One numerical examples are given to illustrate the theorems.

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Available abstract

The precondition Ps=I+S and Pm=I+Smax is considered to be applied to the new USSOR iterative method.The convergence of the new methed is discussed and the comparison theorem of some preconditioned matrix are also obtained.At the same time,it is theoretically proved that the convergence speed of the original method has been improved.One numerical examples are given to illustrate the theorems.

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

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