S-Nekrasov矩阵A的‖A^(-1)‖_∞的上界

Upper Bounds of ‖A^(-1)‖_∞ for S-Nekrasov Matrix A

通过引入恰当的参数,在S-Nekrasov矩阵的基础上,构造了S-SDD矩阵,并在对S-Nekrasov矩阵和S-SDD矩阵元素特点分析的基础上,通过应用S-SDD矩阵逆矩阵无穷范数的界,得到了S-Nekrasov矩阵A的‖A^(-1)‖_∞的上界.

By introducing appropriate parameters,on the basis of the S-Nekrasov matrix,the S-SDD matrix is constructed;and based on the analysis of the characteristics of S-Nekrasov matrix and S-SDDmatrix element,by applying the bounds of the infinite norm of inverse matrix of S-SDDmatrix,the upper bound of the S-Nekrasov matrix are obtained.