Nekrasov矩阵A的逆的‖A^(-1)‖_∞的新界

New Bounds of ‖A^(-1)‖_∞ for Inverse of Nekrasov Matrices

研究了Nekrasov矩阵A的逆的‖A^(-1)‖_∞上界估计问题,通过构造参数可调节的新估计式,提高了上界估计的灵活性和精确度.同时,给出了优于经典结果的参数的取值范围,并进行了证明.最后,用数值算例对本文估计式的优越性进行了分析验证.

In this paper,the upper bounds ‖A-1‖∞ has been studied for the inverse of Nekrasov matrices A.By constructing new estimators contain a parameter,the flexibility and accuracy of the upper bounds estimation are improved.At the same time,better than classical results the range of parameter is given,and improved,finally,numerical examples are given to demonstrate the superiority of the proposed method.