| 广义对角占优矩阵的迭代判定法 |
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| 引用本文： | 苏岐芳.广义对角占优矩阵的迭代判定法[J].工程数学学报,2006,23(1):163-168. |
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| 作者姓名： | 苏岐芳 |
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| 作者单位： | 台州学院数学系,临海,317000 |
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| 摘 要： | 证明了矩阵不是广义对角占优矩阵的充要条件,并给出了判定矩阵不是广义对角占优矩阵或不是M-矩阵的迭代算法,从而使得对广义对角占优矩阵和M-矩阵的判定问题在实际应用中更加简捷而有效。
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| 关 键 词： | 对角占优矩阵 广义对角占优矩阵 对角占劣矩阵 不可约矩阵 M-矩阵 |
| 文章编号： | 1005-3085(2006)01-0163-06 |
| 收稿时间： | 2004-04-07 |
| 修稿时间： | 2004年4月7日 |
An Iterative Criterion for Generalized Diagonally Dominant Matrices |
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| SU Qi-fang.An Iterative Criterion for Generalized Diagonally Dominant Matrices[J].Chinese Journal of Engineering Mathematics,2006,23(1):163-168. |
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| Authors: | SU Qi-fang |
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| Affiliation: | Department of Mathematics, Taizhou University, Linhai 317000 |
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| Abstract: | We prove a sufficient and necessary condition for matrices which are not generalized diagonally dominant matrices. Moreover, an iterative algorithm for matrices which are not generalized diagonally dominant matrices or not M-matrices is given, which makes the criteria for generalized diagonally dominant matrices and M-matrices more simple and effective in practice. |
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| Keywords: | diagonally dominant matrix generalized diagonally dominant matrix diagonally minor matrix irreducible matrix M-matrix |
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