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, 2011, Volume 395, Pages 162–171 (Mi znsl4647)  
This article is cited in 2 scientific papers (total in 3 papers)

To solving spectral problems for $q$-parameter polynomial matrices. 2

V. N. Kublanovskayaa, V. B. Khazanovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State Marine Technical University, St. Petersburg, Russia
Full-text PDF (551 kB) Citations (3)
References:
PDF
HTML
Abstract: The paper continues the studies of the method of hereditary pencils for computing points of the finite spectrum of a multiparameter polynomial matrix. The method involves induction on the number of parameters and consists of two stages. At the first stage, given the coefficients of a multiparameter matrix, a sequence of $(q-k)$-parameter polynomial matrices ($k=1,\dots,q$) satisfying certain recursive relations is formed. This sequence is used at the second stage. As the base case, two-parameter matrices and their spectral characteristics, which are computed by applying the method of hereditary pencils, are considered. Algorithms implementing the second stage are suggested and theoretically justified.
Key words and phrases: regular spectrum, singular spectrum, method of hereditary penils, multiparameter polynomial matrix.
Received: 29.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 6, Pages 834–838
DOI: https://doi.org/10.1007/s10958-012-0792-5
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: V. N. Kublanovskaya, V. B. Khazanov, “To solving spectral problems for $q$-parameter polynomial matrices. 2”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 162–171; J. Math. Sci. (N. Y.), 182:6 (2012), 834–838
Citation in format AMSBIB
\Bibitem{KubKha11}
\by V.~N.~Kublanovskaya, V.~B.~Khazanov
\paper To solving spectral problems for $q$-parameter polynomial matrices.~2
\inbook Computational methods and algorithms. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 395
\pages 162--171
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4647}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870169}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 6
\pages 834--838
\crossref{https://doi.org/10.1007/s10958-012-0792-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861766330}
Linking options:
  • https://www.mathnet.ru/eng/znsl4647
  • https://www.mathnet.ru/eng/znsl/v395/p162
    Cycle of papers
    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:269
    Full-text PDF :64
    References:60
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024