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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 309, Pages 166–173 (Mi znsl823)  
On some spectral characteristics of multiparameter polynomial matrices

V. B. Khazanov

State Marine Technical University of St. Petersburg
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Abstract: 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.
Received: 14.05.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 2, Pages 236–239
DOI: https://doi.org/10.1007/s10958-005-0492-5
Bibliographic databases:
UDC: 519
Language: Russian
Citation: V. B. Khazanov, “On some spectral characteristics of multiparameter polynomial matrices”, Computational methods and algorithms. Part XVII, Zap. Nauchn. Sem. POMI, 309, POMI, St. Petersburg, 2004, 166–173; J. Math. Sci. (N. Y.), 132:2 (2006), 236–239
Citation in format AMSBIB
\Bibitem{Kha04}
\by V.~B.~Khazanov
\paper On some spectral characteristics of multiparameter polynomial matrices
\inbook Computational methods and algorithms. Part~XVII
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 309
\pages 166--173
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl823}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2091597}
\zmath{https://zbmath.org/?q=an:1073.15507}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 2
\pages 236--239
\crossref{https://doi.org/10.1007/s10958-005-0492-5}
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