| S-Nekrasov矩阵的逆矩阵无穷范数的上界 |
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| 引用本文： | 蒋建新. S-Nekrasov矩阵的逆矩阵无穷范数的上界[J]. 西南师范大学学报(自然科学版), 2018, 43(4): 6-10 |
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| 作者姓名： | 蒋建新 |
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| 作者单位： | 文山学院数学学院 |
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| 摘 要： | 在不改变矩阵性质的情况下,通过引入恰当的参数,首先构造了S-SDD矩阵,其次利用S-SDD矩阵与SNekrasov矩阵的逆矩阵无穷范数的关系,得到了S-Nekrasov矩阵的逆矩阵无穷范数的新上界.数值算例不仅说明了新上界的有效性和可行性,也说明了该结果改进了现有的结果.
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| 关 键 词： | S-Nekrasov矩阵 无穷范数 上界 |
On Upper Bounds of Infinite Norm of Inverse Matrix of S-Nekrasov Matrix |
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| JIANG Jian-xin. On Upper Bounds of Infinite Norm of Inverse Matrix of S-Nekrasov Matrix[J]. Journal of southwest china normal university(natural science edition), 2018, 43(4): 6-10 |
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| Authors: | JIANG Jian-xin |
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| Affiliation: | School of Mathematics , Wenshan University; |
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| Abstract: | In this paper, without changing the nature of the matrix, by introducing appropriate parameters.First, the S-SDD matrix is constructed.Secondly, using the relation between the S-SDD matrix and the infinite norm of the inverse matrix of the S-Nekrasov matrix, new upper bounds of the infinite norm of the inverse matrix of S-Nekrasov matrix is obtained.Numerical examples illustrate not only that the validity and feasibility of the new bounds, it is also shown that the result improves the existing bounds. |
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| Keywords: | S-Nekrasov matrices infinity norm upper bound |
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