| 严格对角占优M-矩阵一类界的新估计 |
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| 引用本文： | 王亚强. 严格对角占优M-矩阵一类界的新估计[J]. 宝鸡文理学院学报(自然科学版), 2017, 37(2). DOI: 10.13467/j.cnki.jbuns.2017.02.013 |
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| 作者姓名： | 王亚强 |
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| 作者单位： | 宝鸡文理学院 数学与信息科学学院,陕西 宝鸡,721013 |
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| 基金项目： | The National Natural Science Foundation of China;The Key Project of Baoji University of Arts and Sciences |
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| 摘 要： | 目的 设A为严格对角占优的M-矩阵,估计||A-1||∞的上界及最小特征值σ(A)的下界.方法 利用严格对角占优的-矩阵A的元素估计这类界.结果 给出了||A-1||∞的一个新的上界估计式和最小特征值σ(A)下界的一个估计式.结论 这些新的估计式改进了已有的结果.
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| 关 键 词： | 对角占优 M-矩阵 逆M-矩阵 估计 |
New estimation for a kind of bounds of strictly diagonally dominant M-matrices |
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| WANG Ya-qiang. New estimation for a kind of bounds of strictly diagonally dominant M-matrices[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2017, 37(2). DOI: 10.13467/j.cnki.jbuns.2017.02.013 |
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| Authors: | WANG Ya-qiang |
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| Abstract: | Purpose-To estimate the upper bound for ||A-1||∞ and the lower bound of the smallest eigenvalue σ(A), where A is a real strictly diagonally dominant M-matrix.Method-The elements of a real strictly diagonally dominant M-matrix A are used to estimate these bounds.Results-A new upper bound for ||A-1||∞ and a new lower bound of the smallest eigenvalue σ(A) are presented.Conclusion-These estimator improve the existing results in the literature. |
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| Keywords: | strictly diagonally dominant M-matrix inverse M-matrix estimation |
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