S-Nekrasov矩阵的逆矩阵无穷范数的新估计式

Estimation of Infinity Norm for Inverse Matrix of S-Nekrasov Matrix

根据S-Nekrasov矩阵的定义和特点,利用矩阵的分裂技巧构造出含有参数的S-SDD矩阵和对角矩阵,应用其逆矩阵的无穷范数估计和不等式放缩方法,获得了S-Nekrasov矩阵A的‖A-1‖∞的新估计式,该方法增加了估计的灵活性,得到的结果通过算例验证了其优越性。

Based on the definition and characteristics of the S-Nekrasov matrix, this study constructs the S-SDD matrix and diagonal matrix with parameters by using the splitting technique of the matrix, and the infinite norm estimation and inequality reduction method of its inverse matrix are applied to obtain a new estimation of S-Nekrasov matrix. In the end, the superiority of the method is tested though the numerical examples and the results show that flexibility of estimation is improved.