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
Citer cet article
Voir la notice du chapitre de livre provenant de la source Math-Net.Ru
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.
[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