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To solving multiparameter problems of algebra 3. Cylindrical manifolds of the regular spectrum of a matrix

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Abstract

Methods for computing polynomials (complete polynomials) whose zeros form cylindrical manifolds of the regular spectrum of a q-parameter polynomial matrix in the space ℂq are considered. Based on the method of partial relative factorization of matrices, new methods for computing cylindrical manifolds are suggested. The ΨW and ΨV methods, previously proposed for computing complete polynomials of q-parameter polynomial matrices whose regular spectrum is independent of one of the parameters, are extended to a wider class of matrices. Bibliography: 4 titles.

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REFERENCES

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

    V. N. Kublanovskaya

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  1. V. N. Kublanovskaya
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 296, 2003, pp. 108–121.

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Kublanovskaya, V.N. To solving multiparameter problems of algebra 3. Cylindrical manifolds of the regular spectrum of a matrix. J Math Sci 127, 2016–2023 (2005). https://doi.org/10.1007/s10958-005-0159-2

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  • DOI: https://doi.org/10.1007/s10958-005-0159-2

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