Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIV, Tome 268 (2000), pp. 115-144
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V. N. Kublanovskaya. The application of the rank-factorization method to the analysis of spectral characteristics of a polynomial multiparameter matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIV, Tome 268 (2000), pp. 115-144. http://geodesic.mathdoc.fr/item/ZNSL_2000_268_a7/
@article{ZNSL_2000_268_a7,
author = {V. N. Kublanovskaya},
title = {The application of the rank-factorization method to the analysis of spectral characteristics of a polynomial multiparameter matrix},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {115--144},
year = {2000},
volume = {268},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_268_a7/}
}
TY - JOUR
AU - V. N. Kublanovskaya
TI - The application of the rank-factorization method to the analysis of spectral characteristics of a polynomial multiparameter matrix
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2000
SP - 115
EP - 144
VL - 268
UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_268_a7/
LA - ru
ID - ZNSL_2000_268_a7
ER -
%0 Journal Article
%A V. N. Kublanovskaya
%T The application of the rank-factorization method to the analysis of spectral characteristics of a polynomial multiparameter matrix
%J Zapiski Nauchnykh Seminarov POMI
%D 2000
%P 115-144
%V 268
%U http://geodesic.mathdoc.fr/item/ZNSL_2000_268_a7/
%G ru
%F ZNSL_2000_268_a7
The method of rank-factorization (the $\Delta W$-$q$ method), previously suggested by the author as a method for solving multiparameter algebraic problems for matrix $F$ polynomially dependent on parameters, is applied to analyze the finite spectrum of the matrix $F$. Special attention is paid to the part of the spectrum $\sigma[F]$ of the $q$-parameter matrix $F$ whose points are independent of at least one of the spectral parameters.
