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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 219, Pages 117–157 (Mi znsl5989)  
This article is cited in 2 scientific papers (total in 3 papers)

On irreducible factorization of rational matrices and their applications

V. N. Kublanovskayaa, V. B. Khazanovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
b St. Petersburg State Marine Technical University
Full-text PDF (1806 kB) Citations (3)
Abstract: This paper is an extension of the investigation of computational aspects of the spectral problems for a rational matrix from [4]. Methods of the solution of spectral problems for one- and two-parameter rational matrices are considered. The algorithms of constructing irreducible factorizations and among them a minimal factorization by degree and sizes of factors are suggested. Those algorithms allow us to reduce the spectral problems for rational matrices to the same problems for polynomial matrices. A relationship between the irreducible factorization and irreducible realization for a one-parameter matrix and its application in system theory is established. The results are extended to two-parameter rational matrices. Bibliography: 15 titles.
Received: 10.04.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 4, Pages 2880–2906
DOI: https://doi.org/10.1007/BF02356145
Bibliographic databases:
Document Type: Article
UDC: 518.512
Language: Russian
Citation: V. N. Kublanovskaya, V. B. Khazanov, “On irreducible factorization of rational matrices and their applications”, Computational methods and algorithms. Part X, Zap. Nauchn. Sem. POMI, 219, POMI, St. Petersburg, 1994, 117–157; J. Math. Sci. (New York), 86:4 (1997), 2880–2906
Citation in format AMSBIB
\Bibitem{KubKha94}
\by V.~N.~Kublanovskaya, V.~B.~Khazanov
\paper On irreducible factorization of rational matrices and their applications
\inbook Computational methods and algorithms. Part~X
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 219
\pages 117--157
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5989}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1330913}
\zmath{https://zbmath.org/?q=an:0867.15010|0930.93019}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 4
\pages 2880--2906
\crossref{https://doi.org/10.1007/BF02356145}
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  • https://www.mathnet.ru/eng/znsl/v219/p117
    • 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
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