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预条件USSOR迭代法及比较定理

田秋菊 李金秋

辽宁石油化工大学学报2011,Vol.31Issue(4):91-94,4.
辽宁石油化工大学学报2011,Vol.31Issue(4):91-94,4.DOI:10.3696/j.issn.1672-6952.2011.03.024

预条件USSOR迭代法及比较定理

Preconditioned USSOR Iterative Method and Comparison Theorem

田秋菊 1李金秋1

作者信息

  • 1. 辽宁石油化工大学理学院,辽宁抚顺113001
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摘要

Abstract

Under the preconditioned matrix P=I + R, the new USSOR iterative method was put forward. By the theory of matrix, it proved the convergence of the preconditioned USSOR iterative method when the coefficient matrix is a M-matrix or an if- matrix, gave a comparison theorem between the preconditioned USSOR iterative method and the classic USSOR iterative method when the coefficient matrix is a M - matrix, and disclosed precondition iterative method accelerates the convergence speed of the USSOR iterative method. Then a numerical example was used to demonstrate the validity.

关键词

预条件/USSOR迭代法/比较定理

Key words

Precondition/USSOR iterative methods Comparison theorem

分类

数理科学

引用本文复制引用

田秋菊,李金秋..预条件USSOR迭代法及比较定理[J].辽宁石油化工大学学报,2011,31(4):91-94,4.

辽宁石油化工大学学报

1672-6952

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