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局部双对角占优矩阵及应用
引用本文:逄明贤.局部双对角占优矩阵及应用[J].数学学报,1995,38(4):442-450.
作者姓名:逄明贤
作者单位:吉林师范学院数学系
摘    要:本文引进了局部双对角占优矩阵的概念,讨论了这类矩阵的性质,给出了局部双对角占优矩阵是广义严格对角占优矩阵的等价表征,得到了M-矩阵的新表征,推广了[1-12]的相应结果。

关 键 词:局部双对角占优矩阵,M-矩阵,广义严格对角占优矩阵
收稿时间:1993-1-20

Locally Double-Diagonally Dominant Matrix and Its Applications
Pang Mingxian.Locally Double-Diagonally Dominant Matrix and Its Applications[J].Acta Mathematica Sinica,1995,38(4):442-450.
Authors:Pang Mingxian
Institution:Pang Mingxian(Jilin Techer’s College, Jilin 132011, China)
Abstract:In this paper the concept of locally double-diagonally dominant matrices is intro-duced,some properties of these matrices are discussed,are given representations of generalizedstrictly diagonally dominant matrices which are locally double- diagonally dominant matrices,new representations of M-matrices are obtained,corresponding results of1-12] are generaliZed.
Keywords:locally double-diagonally dominant matrix  M-matrix  generalized strictly diago-nally dominant matrix
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