Expressions for generalized inverses of square matrices

摘要

We find expressions for many types of generalized inverses of an arbitrary square complex matrix by using two representations given in [Benítez J. A new decomposition for square matrices. Electron. J. Linear Algebra. 2010;20:207–225] and in [Hartwig RE, Spindelb?ck K.Matrices for which A~? and A? commute. Linear Multilinear Algebra. 1984;14:241–256].