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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 3, Pages 343–359 (Mi sjvm286)  
This article is cited in 4 scientific papers (total in 4 papers)

An iterative algorithm of investigation and numerical solution of spectral problems for a linear bunch of compact, partially symmetric operators

V. I. Tarakanov, M. V. Nesterenko

Surgut State University, Surgut, Tyumen region
Full-text PDF (257 kB) Citations (4)
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Abstract: The character of the spectrum is investigated and eigenfrequencies are calculated with the use of a new iterative algorithm on an example of a spectral problem on eigenfrequencies of a beam of a variable section loaded with the moment of torsion.
Key words: operator, spectrum, iterative algorithm.
Received: 04.05.2009
Revised: 28.12.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 3, Pages 279–293
DOI: https://doi.org/10.1134/S1995423910030079
Bibliographic databases:
Document Type: Article
UDC: 519.624.3+519.632.6+519.642
Language: Russian
Citation: V. I. Tarakanov, M. V. Nesterenko, “An iterative algorithm of investigation and numerical solution of spectral problems for a linear bunch of compact, partially symmetric operators”, Sib. Zh. Vychisl. Mat., 13:3 (2010), 343–359; Num. Anal. Appl., 3:3 (2010), 279–293
Citation in format AMSBIB
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\by V.~I.~Tarakanov, M.~V.~Nesterenko
\paper An iterative algorithm of investigation and numerical solution of spectral problems for a~linear bunch of compact, partially symmetric operators
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 3
\pages 343--359
\mathnet{http://mi.mathnet.ru/sjvm286}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 3
\pages 279--293
\crossref{https://doi.org/10.1134/S1995423910030079}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77956129370}
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  • https://www.mathnet.ru/eng/sjvm286
  • https://www.mathnet.ru/eng/sjvm/v13/i3/p343
    • This publication is cited in the following 4 articles:
    1. V. I. Tarakanov, A. O. Dubovik, “Iterative algorithm for calculation of spectral parameters of a quadratic bunch of operators in the Hilbert space”, Num. Anal. Appl., 8:1 (2015), 68–80  mathnet  crossref  mathscinet  elib
    2. V. I. Tarakanov, S. A. Lysenkova, M. V. Nesterenko, “Iterative scheme of finding a spectrum of the product of two non-commutative operators”, Num. Anal. Appl., 7:4 (2014), 345–358  mathnet  crossref  mathscinet
    3. V. I. Tarakanov, S. A. Lysenkova, M. V. Nesterenko, “The precession of a parametric oscillation pendulum with the Cardano suspension”, Num. Anal. Appl., 6:4 (2013), 337–347  mathnet  crossref  mathscinet  elib
    4. V. I. Tarakanov, S. A. Lysenkova, “Iterative algorithm of defining the stability of oscillations equation with damping”, Num. Anal. Appl., 5:1 (2012), 84–98  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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