Khazanov, V. B. 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. Reviewer: C. M. da Fonseca (Coimbra) 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 Keywords:spectral problem; multiparametric polynomial matrices × Cite Format Result Cite Review PDF Full Text: Link