General determinantal representation of pseudoinverses.
Stanimirović, P. (1996)
Matematichki Vesnik
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Stanimirović, P. (1996)
Matematichki Vesnik
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Andras Varga (2001)
International Journal of Applied Mathematics and Computer Science
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We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse. By combining the underlying computational techniques, other types of inverses of rational matrices can be computed as well. The main computational ingredient to determine generalized inverses is the orthogonal reduction of the system...
Kanti B. Datta (1984)
Kybernetika
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Ar. Meenakshi (1989)
Czechoslovak Mathematical Journal
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Miroslav Fiedler (2003)
Mathematica Bohemica
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We present some results on generalized inverses and their application to generalizations of the Sherman-Morrison-Woodbury-type formulae.
Yunkun Chen, Xinghua Shi, Yi Min Wei (2016)
Czechoslovak Mathematical Journal
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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...