矩阵的分块降阶判定及Ax=b的反问题求解

On Criterion of Order-Descending for M-Matrix and S-Matrix and Solution of Inverse Problem for Ax=b

本文讨论M-阵和Stieltjes-阵的分块降阶判定方法,以减少判定计算量.还获得了线性方程Ax=b的反问题在M-阵类中有解的几个充要条件.

This paper proposes a block order-descending method to determine the M-Matrix and S-Matix, which needs less computational work. In the meantime, some sufficient and necessory conditions are obtained for the solvability of the inverse problem Ax=b in M-Matrix class.