| 矩阵的分块降阶判定及Ax=b的反问题求解 |
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| 引用本文： | 郭忠. 矩阵的分块降阶判定及Ax=b的反问题求解[J]. 湖南大学学报(自然科学版), 1992, 19(4): 114-118,124 |
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| 作者姓名： | 郭忠 |
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| 作者单位： | 湖南大学应用数学系 |
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| 基金项目： | 国家自然科学基金资助课题 |
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| 摘 要： |
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| 关 键 词： | M－阵 反问题 降阶判定 矩阵 S－阵 |
On Criterion of Order-Descending for M-Matrix and S-Matrix and Solution of Inverse Problem for Ax=b |
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| Guo Zhong. On Criterion of Order-Descending for M-Matrix and S-Matrix and Solution of Inverse Problem for Ax=b[J]. Journal of Hunan University(Naturnal Science), 1992, 19(4): 114-118,124 |
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| Authors: | Guo Zhong |
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| Affiliation: | Guo Zhong Department of Applied Mathematics |
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| Abstract: | This paper proposes a block order-descending method to determine the M-Matrix and S-Matix, which needs less computational work. In the meantime, some sufficient and necessory conditions are obtained for the solvability of the inverse problem Ax=b in M-Matrix class. |
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| Keywords: | M-Matrices S-Matrices inverse problem/criterion |
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