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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 238, Pages 7–328 (Mi znsl439)  
This article is cited in 27 scientific papers (total in 28 papers)

Methods and algorithms of solving spectral problems for polynomial and rational mathrices

V. N. Kublanovskaya

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (1676 kB) Citations (28)
Abstract: The present paper studies some methods and algorithms for numerical solution of spectral problems and problems related to them for one- and two-parameter polynomial and rational matrices.
A review of some known methods based on rank factorization of constant matrices (the SVD and QR-decomposition algorithms) is suggested. The rank factorization approach is generalized to one- and two-parameter polynomial and rational matrices. Methods and algorithms for solving some parametric problems of algebra are constructed by using rank-factorization methods.
Received: 10.02.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 3, Pages 3085–3287
DOI: https://doi.org/10.1007/BF02168360
Bibliographic databases:
UDC: 519
Language: Russian
Citation: V. N. Kublanovskaya, “Methods and algorithms of solving spectral problems for polynomial and rational mathrices”, Computational methods and algorithms. Part XII, Zap. Nauchn. Sem. POMI, 238, POMI, St. Petersburg, 1997, 7–328; J. Math. Sci. (New York), 96:3 (1999), 3085–3287
Citation in format AMSBIB
\Bibitem{Kub97}
\by V.~N.~Kublanovskaya
\paper Methods and algorithms of solving spectral problems for polynomial and rational mathrices
\inbook Computational methods and algorithms. Part~XII
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 238
\pages 7--328
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl439}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1629454}
\zmath{https://zbmath.org/?q=an:0955.00017|0928.65064}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 3
\pages 3085--3287
\crossref{https://doi.org/10.1007/BF02168360}
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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