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Spectral problems for pencils of polynomial matrices. Methods and algorithms. V

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Abstract

Methods and algorithms for the solution of spectral problems of singular and regular pencils D(λ, μ)=A(μ)-λB(μ) of polynomial matrices A(μ) and B(μ) are suggested (the separation of continuous and discrete spectra, the computation of points of a discrete spectrum with the corresponding, Jordan chains, the computation of minimal indices and a minimal basis of polynomial solutions, the computation of the determinant of a regular pencil). Bibliography: 13 titles.

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Literature Cited

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Authors
  1. V. N. Kublanovskaya
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  2. V. B. Khazanov
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Translated by V. N. Kublanovskaya

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 202, 1992, pp. 26–70

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Kublanovskaya, V.N., Khazanov, V.B. Spectral problems for pencils of polynomial matrices. Methods and algorithms. V. J Math Sci 79, 1048–1076 (1996). https://doi.org/10.1007/BF02366127

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  • DOI: https://doi.org/10.1007/BF02366127

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