To solving spectral problems for $q$-parameter polynomial matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIII, Tome 382 (2010), pp. 168-183
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The method of hereditary pencils, originally suggested by the author for solving spectral problems for two-parameter matrices (pencils of matrices), is extended to the case of $q$-parameter, $q\ge2$, polynomial matrices. Algorithms for computing points of the finite regular and singular spectra of a $q$-parameter polynomial matrix and their theoretical justification are presented. Bibl. 2 titles.
@article{ZNSL_2010_382_a12,
author = {V. N. Kublanovskaya},
title = {To solving spectral problems for $q$-parameter polynomial matrices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {168--183},
year = {2010},
volume = {382},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_382_a12/}
}
V. N. Kublanovskaya. To solving spectral problems for $q$-parameter polynomial matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIII, Tome 382 (2010), pp. 168-183. http://geodesic.mathdoc.fr/item/ZNSL_2010_382_a12/
[1] V. N. Kublanovskaya, “K resheniyu zadach algebry dlya dvukhparametricheskikh matrits. 4”, Zap. nauchn. semin. POMI, 367, 2009, 121–144
[2] V. N. Kublanovskaya, “K resheniyu zadach algebry dlya dvukhparametricheskikh matrits. 8”, Zap. nauchn. semin. POMI, 382, 2010, 150–167