Full-Rank Factorization and Moore-Penrose’s Inverse

  • Jose Luis Lopez Bonilla National Polytechnic Institute
Keywords: Moore-Penrose’s, generalized inverse, Full-rank factorization, SVD method


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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