Kronecker积AB的广义逆的表示及其应用

The Representation of the Generalized Inverses of the Kronecker Product A■B and its Applications

本文给出矩阵A和B的Kronecker积的加权Moore－Penrose逆、Drazin逆和群逆的表示，并应用这些结果给出投影算子AAMN，AMNA，AdA和AgA的行列式表示，已知的关于Moore－Penrose逆和正则逆的结果，均为本文的特例．

In this paper,the representations for the weighted Moore-Penrose inrerse and the Drazin inr erse of the Kronecker product AB of the two matrices A and B are given,and using these results,the determinant forms for projectors AAMN, AMNA, AdA are deduced. The results for Moore-Penrose inverse and inverse are the Special cases of this paper.