Nekrasov矩阵的逆矩阵无穷范数上界的进一步研究

Further Study on the Upper Bound of the Infinity Norm for the Inverse Matrix of the Nekrasov Matrix

通过引入恰当的参数,构造严格对角占优矩阵,并利用该矩阵与Nekrasov矩阵的关系,得到Nekrasov矩阵的逆矩阵无穷范数的带有参数的2个新上界.数值算例说明:一定情况下,得到的新上界提高了现有的结果,从而对现有文献进行了有益补充.

By introducing the appropriate parameters, we construct the strictly diagonally dominant matrix. Further, by the rela- tionship between the matrix and the Nekrasov matrix, two new upper bounds of the infinity norm of the inverse matrix of the Nekrasov matrix are obtained. Numerical example explain that, under certain circumstances, some of the existing results in the new territories have been raised, so this is a useful supplement to the existing literature.