Abstract
The method of rank factorization (the Δ W-q method), previously suggested by the author as a method for solving algebraic problems for a multiparameter matrix F polynomially dependent on parameters, is applied to analyze the finite spectrum of F. Special attention is paid to the part of the spectrum σ[F] of the q-parameter matrix F whose points are independent of at least one of the spectral parameters. Bibliography: 6 titles.
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Kublanovskaya, V.N. Application of the Rank-Factorization Method to the Analysis of Spectral Characteristics of Multiparameter Polynomial Matrices. Journal of Mathematical Sciences 114, 1820–1835 (2003). https://doi.org/10.1023/A:1022458620238
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DOI: https://doi.org/10.1023/A:1022458620238