关于矩阵指定秩的{1}-逆

{1} -inverses of a Given Matrix Having Specified Rank

利用Rao CR(Generalized Inverse of Matrices and its Application.1977)的结果给出求mxn矩阵指定秩{1}-逆的一个方法。作为此法的推论,对给定的Hermite矩阵可求出A的指定秩的Hermite{1}-逆。

A method of computing { 1} -inverses of a given matrix having specified rank was given. As a corollary of above result for a given Hermitian matrix, its Hermitian {1} -inverses having specified rank can easily be obtained.