Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 166-173
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V. B. Khazanov. On some spectral characteristics of multiparameter polynomial matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 166-173. http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a9/
@article{ZNSL_2004_309_a9,
author = {V. B. Khazanov},
title = {On some spectral characteristics of multiparameter polynomial matrices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {166--173},
year = {2004},
volume = {309},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a9/}
}
TY - JOUR
AU - V. B. Khazanov
TI - On some spectral characteristics of multiparameter polynomial matrices
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2004
SP - 166
EP - 173
VL - 309
UR - http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a9/
LA - ru
ID - ZNSL_2004_309_a9
ER -
%0 Journal Article
%A V. B. Khazanov
%T On some spectral characteristics of multiparameter polynomial matrices
%J Zapiski Nauchnykh Seminarov POMI
%D 2004
%P 166-173
%V 309
%U http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a9/
%G ru
%F ZNSL_2004_309_a9
The definitions of some spectral characteristics of polynomial matrices (such as the analytical (algebraic) and geometric multiplicities of a point of the spectrum, deflating subspaces, matrix solvents, and block eigenvalues and eigenvectors) are extended to the multiparameter case, and their properties are analyzed.