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Zap. Nauchn. Sem. POMI, 2011, Volume 395, Pages 124–141 (Mi znsl4645)  

This article is cited in 2 scientific papers (total in 3 papers)

To solving problems of algebra for two-parameter matrices. 9

V. N. Kublanovskaya

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The paper continues investigations of the spectral characteristics of two-parameter polynomial matrices of general form. An approach to constructing algorithms for computing points of the regular, singular, and regular-singular spectra of a matrix is suggested and theoretically justified. New algorithms, based on combining rank factorization methods and the method of hereditary pencils, for computing spectrum points and spectral vectors and also new algorithms for finding points of the regular and singular spectra of two-parameter matrices linearly dependent on the parameters are proposed.

Key words and phrases: two-parameter polynomial matrix, regular and singular spectra, rank factorization, method of hereditory pencils, spectral vector.

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English version:
Journal of Mathematical Sciences (New York), 2012, 182:6, 814–822

Bibliographic databases:

Document Type: Article
UDC: 519
Received: 05.05.2011

Citation: V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 9”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 124–141; J. Math. Sci. (N. Y.), 182:6 (2012), 814–822

Citation in format AMSBIB
\Bibitem{Kub11}
\by V.~N.~Kublanovskaya
\paper To solving problems of algebra for two-parameter matrices.~9
\inbook Computational methods and algorithms. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 395
\pages 124--141
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4645}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2870166}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 6
\pages 814--822
\crossref{https://doi.org/10.1007/s10958-012-0789-0}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861785453}


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    This publication is cited in the following articles:
    1. V. N. Kublanovskaya, V. B. Khazanov, “To solving spectral problems for $q$-parameter polynomial matrices. 2”, J. Math. Sci. (N. Y.), 182:6 (2012), 834–838  mathnet  crossref  mathscinet
    2. “To the memory of V. N. Kyblanovskaya”, J. Math. Sci. (N. Y.), 191:1 (2013), 1–3  mathnet  crossref  mathscinet
    3. V. N. Kublanovskaya, “To solving spectral problems for $q$-parameter polynomial matrices. 3”, J. Math. Sci. (N. Y.), 191:1 (2013), 89–91  mathnet  crossref  mathscinet
  • Записки научных семинаров ПОМИ
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