Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XV, Tome 284 (2002), pp. 163-176
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V. N. Kublanovskaya; V. B. Khazanov. To the solution of partial eigenproblems for polynomial matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XV, Tome 284 (2002), pp. 163-176. http://geodesic.mathdoc.fr/item/ZNSL_2002_284_a9/
@article{ZNSL_2002_284_a9,
author = {V. N. Kublanovskaya and V. B. Khazanov},
title = {To the solution of partial eigenproblems for polynomial matrices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {163--176},
year = {2002},
volume = {284},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_284_a9/}
}
TY - JOUR
AU - V. N. Kublanovskaya
AU - V. B. Khazanov
TI - To the solution of partial eigenproblems for polynomial matrices
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 163
EP - 176
VL - 284
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_284_a9/
LA - ru
ID - ZNSL_2002_284_a9
ER -
%0 Journal Article
%A V. N. Kublanovskaya
%A V. B. Khazanov
%T To the solution of partial eigenproblems for polynomial matrices
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 163-176
%V 284
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_284_a9/
%G ru
%F ZNSL_2002_284_a9
Methods for computing scalar and vector spectral characteristics of a polynomial matrix are proposed. These methods are based on determining the so-called generating vectors (eigenvectors and principal vectors) by using the rank-factorization method for polynomial matrices. The possibility of extending the methods to the case of two-parameter polynomial matrices is indicated.