| 广义严格对角占优矩阵的判定准则 |
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| 引用本文： | 吕洪斌,刘学军.广义严格对角占优矩阵的判定准则[J].河北师范大学学报(自然科学版),2006,30(4):373-376. |
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| 作者姓名： | 吕洪斌 刘学军 |
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| 作者单位： | 吉林大学,数学研究所,吉林,长春,130012;北华大学,理学院,吉林,吉林,132033;石家庄学院,数学系,河北,石家庄,050035 |
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| 摘 要： | 利用矩阵的Ostrowski对角占优性研究矩阵的非奇异性,给出了判定广义严格对角占优矩阵及非奇异M矩阵的若干充分条件,拓广了广义严格对角占优矩阵的判定准则.
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| 关 键 词： | 广义严格对角占优矩阵 非奇异M矩阵 回路 |
| 文章编号： | 1000-5854(2006)04-0373-04 |
| 收稿时间： | 2005-01-08 |
| 修稿时间： | 2005年1月8日 |
Determined Standard of Generalized Strictly Diagonally Dominant Matrices |
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| LV Hong-bin,LIU Xue-jun.Determined Standard of Generalized Strictly Diagonally Dominant Matrices[J].Journal of Hebei Normal University,2006,30(4):373-376. |
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| Authors: | LV Hong-bin LIU Xue-jun |
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| Affiliation: | 1. Research Institute of Mathematics,jilin University,jilin Changchun 130012,China; 2. College of Science,Beihua University,jilin Jilin 132033 ,China; 3. Department of Mathematics,Shijiazhuang College,Hebei Shijiazhuang 050035,China |
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| Abstract: | By using the properties of Ostrowski diagonally dominant matrices, the nonsingularity of matrix is studied, some sufficient conditions for generalized strictly diagonally dominant matrix and some criteria for nonsinglar M-matrices were given, the determined standard of generalized strictly diagonally dominant matrices was expounded. |
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| Keywords: | generalized strictly diagonally dominant matrices nonsingular M-matrices circuit |
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