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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 3, Pages 375–390
DOI: https://doi.org/10.7868/S0044466914030193 (Mi zvmmf9999) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Jordan form of the difference of projectors

A. M. Vetoshkin

Faculty of Computer Sciences, Moscow State Forest University, Pervaya Institutskaya ul. 1, Mytishchi-5, Moscow oblast, 141005, Russia
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DOI: https://doi.org/10.7868/S0044466914030193
Abstract: The Jordan canonical form of the difference of projectors $P-Q$ for the eigenvalues $\lambda\ne- 1, 0, 1$ is proved to be made up of pairs of Jordan blocks; i.e., if there are several blocks $J_k(\lambda)$, then there are exactly the same number of blocks $J_k(-\lambda)$. For a block $J_k(\pm1)$ with $k>1$, there is necessarily a pair block $J_l(\mp1)$, where $|k-l|<1$.
Key words: projector, Jordan normal form, Jordan block, similarity, continuous Sylvester equation.
Received: 24.12.2012
Revised: 19.06.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 3, Pages 382–396
DOI: https://doi.org/10.1134/S0965542514030178
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: A. M. Vetoshkin, “Jordan form of the difference of projectors”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 375–390; Comput. Math. Math. Phys., 54:3 (2014), 382–396
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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