To solving spectral problems for q-parameter polynomial matrices. II
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The paper continues the studies of the method of hereditary pencils for computing points of the finite spectrum of a multiparameter polynomial matrix. The method involves induction on the number of parameters and consists of two stages. At the first stage, given the coefficients of a multiparameter matrix, a sequence of (q-k)-parameter polynomial matrices (k = 1,…,q) satisfying certain recursive relations is formed. This sequence is used at the second stage. As the base case, two-parameter matrices and their spectral characteristics, which are computed by applying the method of hereditary pencils, are considered. Algorithms implementing the second stage are suggested and theoretically justified. Bibliography: 4 titles.
KeywordsSpectral Characteristic Base Case Recursive Relation Spectral Problem Polynomial Matrix
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- 1.V. N. Kublanovskaya, “To solving spectral problems for q-parameter polynomials matrices,” Zap. Nauchn. Semin. POMI, 382, 168-183 (2010).Google Scholar
- 2.V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 8,” Zap. Nauchn. Semin. POMI, 382, 150-167 (2010).Google Scholar
- 4.V. N. Kublanovskaya and V. B. Khazanov, Numerical Methods for Solving Parametric Problems of Algebra. Part 1. One-Parameter Problems [in Russian], Nauka, St. Petersburg (2004).Google Scholar