Abstract:
The paper discusses the method of hereditary pencils for computing points of the regular and singular spectra of a general two-parameter polynomial matrix. The method allows one to reduce solution of the spectral problems metioned above to solving eigenproblems for polynomial matrices and pencils of constant matrices.
Algorithms realizing the method are suggested and justified. Bibl. 4 titles.
Key words and phrases:two-parameter matrix, pencil of constant matrices, pencil of polynomial matrices, hereditary pencils, regular spectrum, singular spectrum.
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