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On the solution of spectral problems for multiparametric polynomial matrices. (Russian, English) Zbl 1120.15009

Zap. Nauchn. Semin. POMI 334, 212-231 (2006); translation in J. Math. Sci., New York 141, No. 6, 1690-1700 (2007).
An approach to solve spectral problems for multiparameter polynomial matrices that uses linearization by passing to accompanying pencils of matrices is suggested.

MSC:

15A18 Eigenvalues, singular values, and eigenvectors
47A56 Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)
15A54 Matrices over function rings in one or more variables