两个矩阵乘积{1,3}-逆和{1,4}-逆反序律的一个充要条件

An Equivalent Condition of Reverse Order Laws for Least Squares G-Inverses and Minimum Norm G-Inverses of Products of Two Matrices

本文我们给出了B{1,3}A{1,3}(AB){1,3}和B{1,4}A{1,4}(AB){1,4}的一个等价性条件,并由此得到了(AB)+=B+A+的一个新的充分必要条件.

This paper analyzes new equivalent conditions for B{1,3}belong to(AB){1,3}and B{1,4}A{1,4}C(AB){1,4},and hence derives a new sufficient and necessary condition for(AB)^(+)=B^(+)A^(+).