S-Nekrasov矩阵A的‖A-1‖∞的上界估计

On Upper Bounds of ‖A-1‖∞ for S-Nekrasov Matrix A

文章针对S-Nekrasov矩阵A,借助Nekrasov矩阵与它的关系及矩阵分裂的方法对‖A-1‖∞的上界进行了研究:首先变换出与正对角矩阵相关的且第二列含有参数的S-SDD矩阵,然后结合它们的元素特征和其逆矩阵无穷范数的结果,获得了S-Nekrasov矩阵仅和元素相关的逆无穷范数的上界。

In this paper,based on the S-Nekrasov matrix A and its relationship and the method of matrix splitting,the upper bound of of ‖A-1‖∞ a S-Nekrasov Matrix Ais studied. First,the S-SDD matrix is transformed,which is related to positive diagonal matrix and contained parameters in the second column. Second,their element characteristics and estimations of the infinite norm of the inverse matrix are combined. The new infinity norm bounds that are only related to the element of S-Nekrasov matrices are derived.