| 几种特殊形式的逆M矩阵完备 |
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| 引用本文： | 郭希娟,姚惠萍. 几种特殊形式的逆M矩阵完备[J]. 五邑大学学报(自然科学版), 2004, 18(1): 1-6 |
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| 作者姓名： | 郭希娟 姚惠萍 |
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| 作者单位： | 燕山大学,信息工程学院,河北,秦皇岛,066004 |
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| 摘 要： | 针对具有实际意义的三种特殊形式的部分矩阵：不含已知路径的非团图对应的矩阵、框形矩阵和三对角线部分矩阵讨论它们的逆M矩阵完备问题，利用有向图的理论和逆M矩阵的性质分别给出其完备定理和求其完备式的具体算法．
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| 关 键 词： | 部分逆M矩阵 逆M矩阵完备式 框形矩阵 三对角线部分矩阵 有向图 |
| 文章编号： | 1006-7302(2004)01-0001-06 |
| 修稿时间： | 2003-06-23 |
The Completion Problems for Several Special Partial Inverse M-matrices |
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| GUO Xi-juan,YAO Hui-ping. The Completion Problems for Several Special Partial Inverse M-matrices[J]. Journal of Wuyi University(Natural Science Edition), 2004, 18(1): 1-6 |
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| Authors: | GUO Xi-juan YAO Hui-ping |
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| Abstract: | Inverse M-matrices have wide application. In this paper, the completion problems for three special partial inverse M-matrices are discussed: the partial matrix whose graph is acyclic without specified paths, the quadrate partial matrix and the tridiagonal partial inverse M-matrix. By using the diagraph theory and the properties of inverse M-matrices, their completion theorems and the corresponding completion algorithms are given. |
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| Keywords: | inverse M-matrix partial inverse M-matrix inverse M-matrix completion |
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