| 非奇异弱链对角占优矩阵的逆矩阵无穷大范数的上界 |
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| 引用本文： | 蒋建新.非奇异弱链对角占优矩阵的逆矩阵无穷大范数的上界[J].文山师范高等专科学校学报,2013,26(3):24-27. |
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| 作者姓名： | 蒋建新 |
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| 作者单位： | 文山学院数理系,云南文山,663000 |
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| 基金项目： | 文山学院重点学科数学建设项目 |
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| 摘 要： | 文章研究了非奇异弱链对角占优矩阵A的逆矩阵‖A-1‖无穷大范数‖A-1‖∞上界的估计问题,利用弱链对角占优矩阵的逆矩阵元素的上界估计式给出了‖A-1‖∞上界的新的估计式,这些估计式改进了现有的结果。
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| 关 键 词： | 弱链对角占优矩阵 M矩阵 范数 上界 |
The Infinity Norm Upper Bound for the Inverse of Nonsingular Weakly Chained Dominant Matrices |
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| JIANG jian-xin.The Infinity Norm Upper Bound for the Inverse of Nonsingular Weakly Chained Dominant Matrices[J].Journal of Wenshan Teachers College,2013,26(3):24-27. |
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| Authors: | JIANG jian-xin |
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| Institution: | JIANG jian-xin(Department of Mathematics and Physics,Wenshan University,Yunnan 663000) |
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| Abstract: | The paper studies the problem of estimating upper bounds on the infinite norm ‖A-1‖∞ of the inverse matrix ‖A-1‖ of nonsingular weak chain diagonally dominant matrix A,using the upper bound of elements of inverse matrix of weak chain diagonally dominant matrix gives the new estimation of upper bound of ‖A-1‖∞,and improves the existing results. |
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| Keywords: | Weakly chained diagonally dominant matrix M matrix Norm Upper bound |
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