2011•Basic Sciences Journal of Textile UniversitiesRequires access

Convergence theorems for USSOR iterative method with some preconditioned matrices

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.The new preconditioned matrices P=I+C′α was used.When the coefficient matrix A is nonsingular M-matrix,using the USSOR iterative methods and the theory of matrix splitting,the comparison theorem is obtained.Finally,the main result is demonstrated by a numerical example.

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