| 广义对角占优矩阵的充分条件 |
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| 引用本文： | 孙玉祥.广义对角占优矩阵的充分条件[J].高等学校计算数学学报,1997,19(3):216-223. |
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| 作者姓名： | 孙玉祥 |
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| 作者单位： | 吉林师范学院数学系 吉林132011 |
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| 摘 要： | 广义对角占优势矩阵及M-矩阵是计算数学和矩阵理论研究的重要课题之一。本文利用α-对角占优矩阵给出了判定广义对角占优及非异M-矩阵的若干充分条件，改进了文1]及文2]的相应的结果，作为应用，利用矩阵分块又给矩阵非奇异若干判定条件。
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| 关 键 词： | 矩阵 广义对角占优 充分条件 M矩阵 |
SUFFICIENT CONDITIONS FOR GENERALIZED DIAGONALLY DOMINANT MATRICES |
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| Sun Yuxiang.SUFFICIENT CONDITIONS FOR GENERALIZED DIAGONALLY DOMINANT MATRICES[J].Numerical Mathematics A Journal of Chinese Universities,1997,19(3):216-223. |
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| Authors: | Sun Yuxiang |
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| Institution: | Jilin Teacher's College |
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| Abstract: | In this paper, we introduce the concept of a-diagonally dominant matrix, and give some sufficient conditions for a matrix to be a generalized strictly diagonally dominant matrix, thus the corresponding results of 1 - 2] improved and generalized. |
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| Keywords: | M-matrix generalized diagonally dominant matrix chain of nonzero el-ements |
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