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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 323, Pages 164–181 (Mi znsl386)  
This article is cited in 6 scientific papers (total in 6 papers)

Methods for solving some parameter problems of algebra

V. B. Khazanov

State Marine Technical University of St. Petersburg
Full-text PDF (224 kB) Citations (6)
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Abstract: Methods for solving the following parameter problems are considered: division of scalar and matrix polynomials and computation of their GCD and LCM; finding bases of the sum, difference, and intersection of the linear span of polynomial vectors; constructing a minimal MFD (matrix fraction description) of a rational matrix; computing a range basis and a minimal basis of the null-space of a rational matrix; solving matrix equations and computing inverse and pseudoinverse matrices (both for polynomial and rational objects); computing generating eigenvectors of a polynomial matrix.
Received: 20.04.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 3, Pages 4852–4861
DOI: https://doi.org/10.1007/s10958-006-0283-7
Bibliographic databases:
UDC: 519
Language: Russian
Citation: V. B. Khazanov, “Methods for solving some parameter problems of algebra”, Computational methods and algorithms. Part XVIII, Zap. Nauchn. Sem. POMI, 323, POMI, St. Petersburg, 2005, 164–181; J. Math. Sci. (N. Y.), 137:3 (2006), 4852–4861
Citation in format AMSBIB
\Bibitem{Kha05}
\by V.~B.~Khazanov
\paper Methods for solving some parameter problems of algebra
\inbook Computational methods and algorithms. Part~XVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 323
\pages 164--181
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl386}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2160314}
\zmath{https://zbmath.org/?q=an:1086.65037}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 3
\pages 4852--4861
\crossref{https://doi.org/10.1007/s10958-006-0283-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746832043}
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  • https://www.mathnet.ru/eng/znsl386
  • https://www.mathnet.ru/eng/znsl/v323/p164
    Erratum
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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