| 三对角逆M-矩阵 |
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| 引用本文： | 杨传胜,徐成贤,黄廷祝.三对角逆M-矩阵[J].高等学校计算数学学报,2002,24(2):179-185. |
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| 作者姓名： | 杨传胜 徐成贤 黄廷祝 |
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| 作者单位： | 1. 西安交通大学理学院,西安,710049
2. 电子科技大学应用数学学院,成都,610054 |
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| 基金项目： | 国家自然科学基金资助项目（19971065）. |
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| 摘 要： | In this paper we study a class of inverse M-matrices:tridiagonal inverse M-matrices,Graph theory is used to discuss the structure and properties of tridiagonal inverse M-matrices,A sufficient and necessary condtion for a nonnegative tridiagonal matrix to be an inverse M-matrix is given.Finally,it is proved that the set of the inverses of M-matrices with unipathic is closed under Hadamard product.
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| 关 键 词： | 三对角逆M－矩阵 有向图 Hadamard积 |
| 修稿时间： | 2001年3月28日 |
TRIDIAGONAL INVERSE M-MATRICES |
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| Yang Chuansheng Xu Chengxian.TRIDIAGONAL INVERSE M-MATRICES[J].Numerical Mathematics A Journal of Chinese Universities,2002,24(2):179-185. |
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| Authors: | Yang Chuansheng Xu Chengxian |
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| Abstract: | In this paper we study a class of inverse M-matrices:tridiagonal inverse M-matrices. Graph theory is used to discuss the structure and properties of tridiagonal inverse M-matrices. A sufficient and necessary condtion for a nonneg-ative tridiagonal matrix to be an inverse M-matrix is given. Finally , it is proved that the set of the inverses of M-matrices with unipathic is closed under Hadamard product. |
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| Keywords: | inverse M-matrix unipathic digraph Hadamard product |
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