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Sibirskii Zhurnal Industrial'noi Matematiki, 2009, Volume 12, Number 3, Pages 41–51 (Mi sjim566)  

This article is cited in 3 scientific papers (total in 3 papers)

Re-Construction of Inverse Matrices

G. I. Zabinyako

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Full-text PDF (260 kB) Citations (3)
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Abstract: We consider algorithms for re-constructing the inverses to basis matrices, in which the advance determination of the pivots is based on solving assignment problems. Then, in order to memory saving, by symmetric permutations, we set the order in which the pivots are used. The corresponding routines are designed for the software packages for solving mathematical programming problems.
Keywords: linear programming, systems of linear algebraic equations, sparse matrices, assignment problem.
Received: 03.12.2008
Bibliographic databases:
UDC: 519.852.6
Language: Russian
Citation: G. I. Zabinyako, “Re-Construction of Inverse Matrices”, Sib. Zh. Ind. Mat., 12:3 (2009), 41–51
Citation in format AMSBIB
\Bibitem{Zab09}
\by G.~I.~Zabinyako
\paper Re-Construction of Inverse Matrices
\jour Sib. Zh. Ind. Mat.
\yr 2009
\vol 12
\issue 3
\pages 41--51
\mathnet{http://mi.mathnet.ru/sjim566}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668145}
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  • https://www.mathnet.ru/eng/sjim/v12/i3/p41
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский журнал индустриальной математики
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    Abstract page:506
    Full-text PDF :198
    References:68
    First page:13
     
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