S-Nekrasov矩阵的逆矩阵无穷范数的上界

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

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.

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.