| 严格对角占优M-矩阵的逆矩阵的无穷大范数上界的估计 |
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| 引用本文： | 李艳艳,李耀堂. 严格对角占优M-矩阵的逆矩阵的无穷大范数上界的估计[J]. 云南民族大学学报(自然科学版), 2012, 21(1): 52-56 |
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| 作者姓名： | 李艳艳 李耀堂 |
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| 作者单位： | 1. 文山学院数理系,云南文山,663000
2. 云南大学数学与统计学院,云南昆明,650091 |
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| 基金项目： | 国家自然科学基金(10961027) |
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| 摘 要： | 设A为严格对角占优的M-矩阵,给出了‖A-1‖∞新的上界估计式,并由此给出了A的最小特征值q(A)下界的估计式.
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| 关 键 词： | 对角占优矩阵 M-矩阵 矩阵的无穷大范数 上界 最小特征值 |
Estimation on Upper Bounds for the Infinity Norms of Inverses of Strictly Diagonally Dominant M-Matrices |
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| LI Yan-yan , LI Yao-tang. Estimation on Upper Bounds for the Infinity Norms of Inverses of Strictly Diagonally Dominant M-Matrices[J]. Journal of Yunnan Nationalities University:Natural Sciences Edition, 2012, 21(1): 52-56 |
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| Authors: | LI Yan-yan LI Yao-tang |
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| Affiliation: | 1.Department of Mathematics and Physics,Wenshan University,Wenshan 663000,China;2.School of Mathematics and Statistics,Yunnan University,Kunming 650091,China) |
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| Abstract: | Some new upper bounds of ‖A-1‖∞ are given,where A is a real strictly diagonally dominant M-matrix.Furthermore,the lower bound of the smallest eigenvalue q(A) of A is presented. |
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| Keywords: | diagonal dominance matrix M-matrix infinity norms of matrices upper bound minimum eigenvalue |
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