2 papers
math.NA2024
Generalized Wedderburn Rank Reduction
Oskar Kędzierski
We generalize the Wedderburn rank reduction formula by replacing the inverse with the Moore--Penrose pseudoinverse. In particular, this allows one to remove the non--singularity of…
math.NA2024
Characterization of Matrices Satisfying the Reverse Order Law for the Moore-Penrose Pseudoinverse
Oskar Kędzierski
We give a constructive characterization of matrices satisfying the reverse-order law for the Moore--Penrose pseudoinverse. In particular, for a given matrix we construct anothe…