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广义对角占优矩阵的判定准则
引用本文:王峰.广义对角占优矩阵的判定准则[J].高等学校计算数学学报,2012,34(1):23-29.
作者姓名:王峰
作者单位:菏泽学院数学系,菏泽,274015
基金项目:国家自然科学基金,菏泽学院科研基金
摘    要:1引言广义对角占优矩阵在理论上和应用上都十分重要,它的研究已广泛引起人们的注意.最近,许多文章都在寻求它的简单实用的判别(1-8]).本文在文1-7]的基础上,讨论了广

关 键 词:generalized  diagonally  dominant  matrix  strictly  diagonally  dominant  matrix  irreducibility  chain  of  nonzero  elements

CRITERIA FOR GENERALIZED DIAGONALLY DOMINANT MATRICES
Wang Feng.CRITERIA FOR GENERALIZED DIAGONALLY DOMINANT MATRICES[J].Numerical Mathematics A Journal of Chinese Universities,2012,34(1):23-29.
Authors:Wang Feng
Institution:Wang Feng (Department of Mathematics,Heze University,Heze 274015)
Abstract:Generalized diagonally dominant matrices play a very important role in numerical analysis,matrix theory,mathematical economics,etc.However,it is difficult to make a criteria for them in practice.This paper studies the criteria for generalized diagonally dominant matrices.Some new sufficient conditions are obtained and some related results are improved.A numerical example illustrates the advantages.
Keywords:generalized diagonally dominant matrix  strictly diagonally dominant matrix  irreducibility  chain of nonzero elements
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