Representations of the weighted WG inverse and a rank equation's solution

D. E. Ferreyra, Valentina Orquera, Néstor Thome · Linear and Multilinear Algebra · 2022

In this paper, we present several representations of the W-weighted WG inverse. These representations are expressed in terms of matrix powers as well as in terms of matrix products involving only the Moore–Penrose inverse. In addition, a new characterization of the W-weighted WG inverse is presented by using a rank equation.

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