α-β广义逆矩阵的一个表征及其反序性

A Characterization of the α-β Generalized Inverse and Its Reverse Law

该文讨论了α-β广义逆矩阵的一个表征,并给出了其反序性几个充分条件．

This paper deals with the case when the α-β generalized inverse A（-1） α,β, is a linear transformation, in which case we established the characterization of the α-β generalized inverse, and we also give several sufficient conditions that the reverse law holds, i.e.（AB）（-1） α,β=B（-1） α,β A（-1） α,β.