| 对角占优矩阵非奇异的充要条件 |
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| 引用本文： | 陈神灿.对角占优矩阵非奇异的充要条件[J].宁德师专学报(自然科学版),1998(1). |
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| 作者姓名： | 陈神灿 |
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| 作者单位： | 福建农业大学 |
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| 摘 要： | 本文得到对角占优矩阵是非奇异的一个充要条件，它包含了Ｓｈｉｖａｋｕｍａｒ相应的结果．
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| 关 键 词： | M－矩阵，对角占优矩阵，不可约矩阵，可约矩阵 |
A Sufficient and Necessary Condition for a Diagonally Dominant Matrix to be Nonsingular |
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| Chen Shencan.A Sufficient and Necessary Condition for a Diagonally Dominant Matrix to be Nonsingular[J].Journal of Ningde Teachers College(Natural Science),1998(1). |
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| Authors: | Chen Shencan |
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| Institution: | Fujian Agricultural University Fuzhou 350002 |
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| Abstract: | This paper derives a sufficient and necessary condition for a diagonally dominant matrix with nonzero diagonal entries to be nonsingular,which contains a corresponding result of Shivakumar |
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| Keywords: | M-matrix diagonally dominant matrix irreducible matrix reducible matrix |
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