EUDML | On Moore-Penrose Inverse of Block Matrices and Full-rank Factorization

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Displaying similar documents to “On Moore-Penrose Inverse of Block Matrices and Full-rank Factorization”

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We extend Rump's verified method (S. Oishi, K. Tanabe, T. Ogita, S. M. Rump (2007)) for computing the inverse of extremely ill-conditioned square matrices to computing the Moore-Penrose inverse of extremely ill-conditioned rectangular matrices with full column (row) rank. We establish the convergence of our numerical verified method for computing the Moore-Penrose inverse. We also discuss the rank-deficient case and test some ill-conditioned examples. We provide our Matlab codes for...

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