关于非对角占优矩阵之逆阵上界的估计定理

The Estimate Theorems of Inverse Matrix Upper Bound about the Nondiagonally Dominant Matrix

本文给出一些新的、易于检验的判别定理,能通过简便的方法来判别一类非对角占优矩阵A的可逆性、给出‖A^(-1)‖的上界以及解相应扰动方程组(A+δA)(X+δx)=b+δb的误差估计,具有较好的实用价值。

This paper gives some new and easy to test criteria, can discriminate invertibility of A class of nondiagonally dominant matrices, and gives the upper bound of |A-1| and the error estimate of solving relevant perturbation equations (A + A)(x + 6x) = b+b by simple and convenient method. Consequently, it has a pood practical value.