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Full-Rank Factorization and Moore-Penrose

Abstract

J. López-Bonilla, R. López-Vázquez, S. Vidal-Beltrán,

C. C. MacDuffee apparently was the first to point out, in private communications, that a full-rank factorization of a matrix A leads to an explicit formula for its Moore-Penrose’s inverse A+. Here we apply this idea of MacDuffee and the Singular Value Decomposition to construct A+.<

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