判定广义严格对角占优矩阵的新准则

张劲松

doi:10.13371/j.cnki.chin.q.j.m.2015.02.002

数学季刊 >

2015 , Vol. 30 >Issue 2: 166 - 171

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.02.002

判定广义严格对角占优矩阵的新准则

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College of Science, Jiujiang University

ZHANG Jin-song(1970-), male, native of Jiujiang, Jiangxi, an associate professor of Jiujiang University, M.S.D., engages in operations research and optimization.

收稿日期: 2013-04-02

网络出版日期: 2020-11-23

基金资助

Supported by the National Natural Science Foundation of China(71261010)；

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New Criteria for Judging Generalized Strictly Diagonally Dominant Matrix

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College of Science, Jiujiang University

ZHANG Jin-song(1970-), male, native of Jiujiang, Jiangxi, an associate professor of Jiujiang University, M.S.D., engages in operations research and optimization.

Received date: 2013-04-02

Online published: 2020-11-23

Supported by

Supported by the National Natural Science Foundation of China(71261010)；

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摘要

Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics, mathematical physics, theory of dynamical systems, etc.But it is difficult to judge a matrix is or not generalized strictly diagonally dominant matrix.In this paper, by using the properties of α-chain diagonally dominant matrix, we obtain new criteria for judging generalized strictly diagonally dominant matrix, which enlarge the identification range.

关键词： generalized strictly diagonally dominant matrix; criteria; \alpha-chain diagonally dominant matrix

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张劲松 . 判定广义严格对角占优矩阵的新准则[J]. 数学季刊, 2015 , 30(2) : 166 -171 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.02.002

Abstract

Key words： generalized strictly diagonally dominant matrix; criteria; \alpha-chain diagonally dominant matrix

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