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  • 李耀堂,刘庆兵.拟对角占优矩阵与非奇异M-矩阵的判定[J].广西科学,2002,9(4):256-258.    [点击复制]
  • Li Yaotang,Liu Qingbing.Criteria for Quasi-diagonally Dominant Matrices and Nonsingular M-Matrices[J].Guangxi Sciences,2002,9(4):256-258.   [点击复制]
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拟对角占优矩阵与非奇异M-矩阵的判定
李耀堂, 刘庆兵
0
(云南大学数学系, 云南昆明 650091)
摘要:
利用矩阵回路给出拟对角占优矩阵与非奇异M-矩阵的判定条件,改进和推广相关文献的结果.
关键词:  拟对角占优矩阵  非奇异M-矩阵  矩阵回路
DOI:
投稿时间:2001-11-26修订日期:2002-05-20
基金项目:云南省自然科学基金资助项目(2000A0001-1M)和云南省教育厅科研基金资助项目(9911126)。
Criteria for Quasi-diagonally Dominant Matrices and Nonsingular M-Matrices
Li Yaotang, Liu Qingbing
(Dept. of Math., Yunnan University, Kunming, Yunnan, 650091, China)
Abstract:
Some sufficient conditions for a matrix to be a quasi-diagonally dominant matrix and some criteria for a matrix to be a nonsingular M-matrix are obtained.The known results in the relevant reference were improved and generalized by these results.
Key words:  quasi-diagonally dominant matrix  nonsingular M-matrix  matrices circuit

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