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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1249–1263
DOI: https://doi.org/10.17377/smzh.2015.56.604 (Mi smj2710) 		 
On parametrization of the submanifold of matrices with a fixed structure of Jordan blocks

A. A. Bondar'

Ural State Pedagogical University, Ekaterinburg, Russia
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DOI: https://doi.org/10.17377/smzh.2015.56.604
Abstract: We construct some new local diffeomorphism that enables us to study submanifolds of matrices. Using the diffeomorphism, we define the parametrization of the submanifold of complex matrices with a fixed structure of the Jordan blocks of distinguished eigenvalues. Comparative characterization is given for various parametrizations.
Keywords: submanifold of matrices, Jordan form, local diffeomorphism, parametrization.
Received: 06.11.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 996–1008
DOI: https://doi.org/10.1134/S003744661506004X
Bibliographic databases:
Document Type: Article
UDC: 517.984.66
Language: Russian
Citation: A. A. Bondar', “On parametrization of the submanifold of matrices with a fixed structure of Jordan blocks”, Sibirsk. Mat. Zh., 56:6 (2015), 1249–1263; Siberian Math. J., 56:6 (2015), 996–1008
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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