Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/znsl5989
  • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:132
    Full-text PDF :56
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024