On Upper Bounds of Infinite Norm of Inverse Matrix of S-Nekrasov Matrix

JIANG Jian-xin

Journal of Southwest China Normal University(Natural Science Edition)

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2018 Volume 43 Issue 4

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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.

Citation:

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.

On Upper Bounds of Infinite Norm of Inverse Matrix of S-Nekrasov Matrix

JIANG Jian-xin

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.
- S-Nekrasov matrices,
- infinity norm,
- upper bound
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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