On (B,C)-MP-inverses of rectangular matrices

Abstract

For any A ? Cn?m, the set of all n by m complex matrices, Mosic and Stanimirovic [14] introduced the composite OMP inverse of A by its outer inverse with the prescribed range, null space and Moore-Penrose inverse. This inverse unifies the core inverse, DMP inverse and Moore-Penrose inverse. In this paper, we mainly introduce and investigate a class of generalized inverses in complex matrices. Also, it is proved that this generalized inverse coincides with the OMP inverse. Finally, the defined inverse is related to OMP-inverses, W-core inverses and (b, c)-core inverses in the context of matrices.