S-Nekrasov矩阵的逆矩阵无穷范数的上界

蒋建新

西南师范大学学报(自然科学版)

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
	姓名不能为空！
邮箱
	邮箱不能为空！非法的邮箱地址。
手机号码
	电话不能为空！请输入有效手机号!
标题
	标题不能为空！
留言内容
	内容不能为空！
验证码
	验证码不能为空！验证码错误！

S-Nekrasov矩阵的逆矩阵无穷范数的上界

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.

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.

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.

S-Nekrasov矩阵的逆矩阵无穷范数的上界

蒋建新

文山学院数学学院

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

JIANG Jian-xin

School of Mathematics , Wenshan University;

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.
- S-Nekrasov矩阵 /
- 无穷范数 /
- 上界
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 .