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逆为三对角矩阵的逆M-矩阵

殷云星

数学杂志2013,Vol.33Issue(4):679-682,4.
数学杂志2013,Vol.33Issue(4):679-682,4.

逆为三对角矩阵的逆M-矩阵

ON AN INVERSE M-MATRIX WITH A TRIDIAGONAL INVERSE MATRIX

殷云星1

作者信息

  • 1. 华北电力大学数理系,河北保定 071003
  • 折叠

摘要

Abstract

In this paper,we discuss the properties of a special inverse M-matrix.Based on characters and properties of directed graph,we give the necessary and sufficient conditions for the inverse matrix.In some special case,we generalize the condition for a matrix of type D to be inverse M-matrix and its inverse to be a tridiagonal matrix.

关键词

有向图/三对角矩阵/逆M-矩阵

Key words

directed graph/ tridiagonal matrix/ inverse M-matrix

分类

数理科学

引用本文复制引用

殷云星..逆为三对角矩阵的逆M-矩阵[J].数学杂志,2013,33(4):679-682,4.

基金项目

华北电力大学青年教师科研基金资助(932090902). (932090902)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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