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To solving inverse eigenvalue problems for parametric matrices

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Abstract

Some statements of inverse eigenvalue problems for one-parameter and multiparameter regular polynomial matrices with linear and nonlinear dependences on spectral parameters are considered. Methods for solving inverse eigenvalue problems based on rank factorization, exhaustion, and reduction to nonlinear equations are proposed. Bibliography: 12 titles.

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Authors and Affiliations

  1. St.Peterburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    V. N. Kublanovskaya

  2. St.Petersburg State Marine Technical University, St.Petersburg, Russia

    V. B. Khazanov

Authors
  1. V. N. Kublanovskaya
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  2. V. B. Khazanov
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 334, 2006, pp. 174–192.

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Kublanovskaya, V.N., Khazanov, V.B. To solving inverse eigenvalue problems for parametric matrices. J Math Sci 141, 1668–1677 (2007). https://doi.org/10.1007/s10958-007-0077-6

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  • DOI: https://doi.org/10.1007/s10958-007-0077-6

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