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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 439, Pages 93–98
(Mi znsl6202)
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Neutral subspaces of complex matrices
Kh. D. Ikramov Lomonosov Moscow State University, Moscow, Russia
Abstract:
Consider the quadratic matrix equation $X^TDX+AX+X^TB+C=0$, where all the matrices are square and have the same order $n$. With this equation, we associate a block matrix $M$ of the double order $2n$. the solvability of the equation turns out to be related to the existence of neutral subspaces of dimension $n$ for this matrix. Reasonably general conditions ensuring the existence of such subspaces are presented.
Key words and phrases:
quadratic matrix equation, neutral subspace, congruences, Jordan form, cosquare.
Received: 28.07.2015
Citation:
Kh. D. Ikramov, “Neutral subspaces of complex matrices”, Computational methods and algorithms. Part XXVIII, Zap. Nauchn. Sem. POMI, 439, POMI, St. Petersburg, 2015, 93–98; J. Math. Sci. (N. Y.), 216:6 (2016), 783–786
Linking options:
https://www.mathnet.ru/eng/znsl6202 https://www.mathnet.ru/eng/znsl/v439/p93
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Statistics & downloads: |
Abstract page: | 190 | Full-text PDF : | 49 | References: | 45 |
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