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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 142–153 (Mi znsl4646)  
This article is cited in 1 scientific paper (total in 1 paper)

To solving inverse eigenvalue problems for matrices

V. N. Kublanovskaya

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: The paper considers additive and multiplicative inverse eigenvalue problems and suggests a solution method based on the connection of inverse problems with the problem of computing the regular spectrum of a multiparameter pencil of constant matrices corresponding to the problem considered. Necessary and sufficient conditions for the solvability of inverse eigenvalue problems are established.
Key words and phrases: additive and multiplicative inverse problems, multipparameter matrix pencil, regular and singular spectra of a multiparameter pencil.
Received: 21.09.2010
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 6, Pages 823–829
DOI: https://doi.org/10.1007/s10958-012-0790-7
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: V. N. Kublanovskaya, “To solving inverse eigenvalue problems for matrices”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 142–153; J. Math. Sci. (N. Y.), 182:6 (2012), 823–829
Citation in format AMSBIB
\Bibitem{Kub11}
\by V.~N.~Kublanovskaya
\paper To solving inverse eigenvalue problems for matrices
\inbook Computational methods and algorithms. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 395
\pages 142--153
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4646}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870167}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 6
\pages 823--829
\crossref{https://doi.org/10.1007/s10958-012-0790-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861772309}
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  • https://www.mathnet.ru/eng/znsl/v395/p142
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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