A Restricted Pseudoinverse and Its Application to Constrained Minima
Nariyasu MINAMIDE, Kahei Nakamura · SIAM Journal on Applied Mathematics · 1970
Previous article Next article A Restricted Pseudoinverse and Its Application to Constrained MinimaNariyasu Minamide and Kahei NakamuraNariyasu Minamide and Kahei Nakamurahttps://doi.org/10.1137/0119015PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. H. Moore, Abstract, Bull. Amer. Math. Soc., 26 (1920), 394–395 Google Scholar[2] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar[3] R. Penrose, On best approximation solutions of linear matrix equations, Proc. Cambridge Philos. Soc., 52 (1956), 17–19 MR0074092 0070.12501 CrossrefGoogle Scholar[4] T. N. E. Greville, The pseudoinverse of a rectangular or singular matrix and its application to the solution of systems of linear equations, SIAM Rev., 1 (1959), 38–43 10.1137/1001003 MR0101615 0123.11202 LinkISIGoogle Scholar[5] T. N. E. 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Rep., Vol. 13, Faculty of Engineering, Institute of Automatic Control, Nagoya University, Nagoya, Japan, 1965, 97–107 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Kinematics Cross Ref A regularized method for solving constrained pseudoinverse problems31 March 2017 | Russian Mathematics, Vol. 61, No. 4 Cross Ref A generalization of the Bott-Duffin inverse and its applicationsNumerical Linear Algebra with Applications, Vol. 16, No. 3 Cross Ref An iterative regularization method for the 2-constrained pseudoinversion of an operator equationComputational Mathematics and Mathematical Physics, Vol. 46, No. 10 Cross Ref On the existence of solutions to equality constrained least-squares problems in infinite dimensional Hilbert spacesApplied Mathematics and Computation, Vol. 131, No. 2-3 Cross Ref The generalized Bott-Duffin inverse and its applicationsLinear Algebra and its Applications, Vol. 134 Cross Ref Coupled linear operators18 April 2013 | Results in Mathematics, Vol. 15, No. 1-2 Cross Ref Constrained least-squares solutions of linear inclusions and singular control problems in Hilbert spacesApplied Mathematics & Optimization, Vol. 19, No. 1 Cross Ref On linear statistical models of commutative quadratic typeCommunications in Statistics - Theory and Methods, Vol. 18, No. 9 Cross Ref The method of weighting and approximation of restricted pseudosolutionsJournal of Approximation Theory, Vol. 51, No. 1 Cross Ref LIMITS OF ABSTRACT SPLINES Cross Ref Generalized inverses of matrices: a perspective of the work of Penrose24 October 2008 | Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 100, No. 3 Cross Ref A Multiresponse Quadratic Control ProblemSung J. 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