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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 5, Pages 747–766
(Mi zvmmf286)
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This article is cited in 17 scientific papers (total in 17 papers)
Expansions and polynomial limit representations of weighted pseudoinverses
E. F. Galba, V. S. Deineka, I. V. Sergienko Institute of Cybernetics, National Academy of Sciences of Ukraine, pr. Akademika Glushkova 40, Kiev, 03680, Ukraine
Abstract:
Expansions of weighted pseudoinverses with positive definite or singular weights in matrix power series or power products with negative exponents and arbitrary positive parameters are proposed and analyzed. Based on these expansions, polynomial limit representations of weighted pseudoinverses are obtained. Issues related to the construction of direct and iterative methods for calculating weighted pseudoinverses and weighted normal pseudosolutions, as well as solving constrained least squares problems, are examined.
Key words:
weighted pseudoinverses, weighted normal pseudosolutions, matrix power series, matrix power products,
polynomial limit representations of weighted pseudoinverses, constrained least squares problems, iterative methods.
Received: 13.11.2006
Citation:
E. F. Galba, V. S. Deineka, I. V. Sergienko, “Expansions and polynomial limit representations of weighted pseudoinverses”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007), 747–766; Comput. Math. Math. Phys., 47:5 (2007), 713–731
Linking options:
https://www.mathnet.ru/eng/zvmmf286 https://www.mathnet.ru/eng/zvmmf/v47/i5/p747
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Abstract page: | 250 | Full-text PDF : | 140 | References: | 39 | First page: | 1 |
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