判定广义严格对角占优矩阵的新准则

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

数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 166-171.doi: 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

College of Science, Jiujiang University

收稿日期:2013-04-02 出版日期:2015-06-30 发布日期:2020-11-23
作者简介:ZHANG Jin-song(1970-), male, native of Jiujiang, Jiangxi, an associate professor of Jiujiang University, M.S.D., engages in operations research and optimization.
基金资助:
Supported by the National Natural Science Foundation of China(71261010)；

New Criteria for Judging Generalized Strictly Diagonally Dominant Matrix

College of Science, Jiujiang University

Received:2013-04-02 Online:2015-06-30 Published:2020-11-23
About author:ZHANG Jin-song(1970-), male, native of Jiujiang, Jiangxi, an associate professor of Jiujiang University, M.S.D., engages in operations research and optimization.
Supported by:
Supported by the National Natural Science Foundation of China(71261010)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O151.21

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.

ZHANG Jin-song. New Criteria for Judging Generalized Strictly Diagonally Dominant Matrix[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 166-171.

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判定广义严格对角占优矩阵的新准则

New Criteria for Judging Generalized Strictly Diagonally Dominant Matrix

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