| 矩阵广义对角占优的若干充要条件 |
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| 引用本文： | 张天澍.矩阵广义对角占优的若干充要条件[J].福州大学学报(自然科学版),1988(2):14-20. |
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| 作者姓名： | 张天澍 |
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| 作者单位： | 福州大学数学系 |
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| 摘 要： | 利用矩阵的列向量所生成的闭凸锥及矩阵的行列式来讨论其行广义对角占优的若干充要条件，为判别矩阵是否为广义对角占优提供若干新方法．一些证明采用构造性的，从而为计算的可行性提供了保证．
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| 关 键 词： | 广义对角占优矩阵 闭凸锥行列式 |
Some Necesarry and Sufficient Conditions for Generalized Diagonal Dominant Matrix |
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| Zhang Tianshu.Some Necesarry and Sufficient Conditions for Generalized Diagonal Dominant Matrix[J].Journal of Fuzhou University(Natural Science Edition),1988(2):14-20. |
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| Authors: | Zhang Tianshu |
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| Institution: | Department of Mathematics |
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| Abstract: | Some necesarry and sufficient coditions for generalized diagonal dominance for matrices are discussed by using the determinant and the closed convex cone generated by matrices column vectors (or row vetors ). This paper, thus provides some new methoods for determining the generalized diagonal dominance in matrices. Not a few profs are constructive, which ensure the feasibility of calculation. |
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| Keywords: | generalized diagonal dominant matrix closed convex cone |
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