2012•Xi'an Gongcheng Keji Xueyuan xuebaoRequires access

Comparison theorems for USSOR iterative methods with the precondition P_=I+

Da‐Wei Chang

Abstract

In order to improve the convergence rate of linear equations iterative method,using the appropriate pretreatment is necessary,that is the case PAx=Pb.After putting preconditioned matrix P_=I+ into USSOR iterative method and discussing the convergence when coefficient matrix is a nonsingular M matrix by using the theory of matrix splitting,a comparison theorem is obtained.And then the explanations are given as well as some specific numerical examples.

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Key concepts: Precondition, Invertible matrix, Mathematics, Iterative method, Matrix (chemical analysis), Coefficient matrix, Applied mathematics, Convergence (economics)