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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 142–153
(Mi znsl4646)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl4646 https://www.mathnet.ru/eng/znsl/v395/p142
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Abstract page: | 312 | Full-text PDF : | 97 | References: | 45 |
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