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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 382, Pages 168–183 (Mi znsl3868)  
This article is cited in 3 scientific papers (total in 4 papers)

To solving spectral problems for $q$-parameter polynomial matrices

V. N. Kublanovskaya

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (211 kB) Citations (4)
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Abstract: The method of hereditary pencils, originally suggested by the author for solving spectral problems for two-parameter matrices (pencils of matrices), is extended to the case of $q$-parameter, $q\ge2$, polynomial matrices. Algorithms for computing points of the finite regular and singular spectra of a $q$-parameter polynomial matrix and their theoretical justification are presented. Bibl. 2 titles.
Key words and phrases: multiparameter polynomial matrix, regular spectrum, singular spectrum, method of hereditary pencils.
Received: 15.06.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 1, Pages 93–101
DOI: https://doi.org/10.1007/s10958-011-0397-4
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: V. N. Kublanovskaya, “To solving spectral problems for $q$-parameter polynomial matrices”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 168–183; J. Math. Sci. (N. Y.), 176:1 (2011), 93–101
Citation in format AMSBIB
\Bibitem{Kub10}
\by V.~N.~Kublanovskaya
\paper To solving spectral problems for $q$-parameter polynomial matrices
\inbook Computational methods and algorithms. Part~XXIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 382
\pages 168--183
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3868}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 1
\pages 93--101
\crossref{https://doi.org/10.1007/s10958-011-0397-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958246846}
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  • https://www.mathnet.ru/eng/znsl/v382/p168
    Cycle of papers
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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