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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 5, Pages 747–766 (Mi zvmmf286)  
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
Full-text PDF (2351 kB) Citations (17)
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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
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 5, Pages 713–731
DOI: https://doi.org/10.1134/S0965542507050016
Bibliographic databases:
Document Type: Article
UDC: 512.612
Language: Russian
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
Citation in format AMSBIB
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\by E.~F.~Galba, V.~S.~Deineka, I.~V.~Sergienko
\paper Expansions and polynomial limit representations of weighted pseudoinverses
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 5
\pages 747--766
\mathnet{http://mi.mathnet.ru/zvmmf286}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2378656}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 5
\pages 713--731
\crossref{https://doi.org/10.1134/S0965542507050016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34249750417}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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