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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 6, Pages 901–904
DOI: https://doi.org/10.7868/S0044466914060167 (Mi zvmmf10043) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Numerical algorithm for solving sesquilinear matrix equations of a certain class

Yu. O. Vorontsov, Kh. D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
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DOI: https://doi.org/10.7868/S0044466914060167
Abstract: A relationship is found between the solutions to the sesquilinear matrix equation $X^*DX+AX+X^*B+C=0$, where all the matrix coefficients are $n\times n$ matrices, and the neutral subspaces of the $2n\times 2n$ matrix $M=\begin{pmatrix}C& A\\ B& D\end{pmatrix}$. This relationship is used to design an algorithm for solving matrix equations of the indicated type. Numerical results obtained with the help of the proposed algorithm are presented.
Key words: sesquilinear matrix equation, neutral subspace, quasi-definite matrix, reduction to diagonal form.
Received: 26.12.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 6, Pages 915–918
DOI: https://doi.org/10.1134/S0965542514060141
Bibliographic databases:
Document Type: Article
UDC: 519.61
MSC: 65F30 (15A24)
Language: Russian
Citation: Yu. O. Vorontsov, Kh. D. Ikramov, “Numerical algorithm for solving sesquilinear matrix equations of a certain class”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014), 901–904; Comput. Math. Math. Phys., 54:6 (2014), 915–918
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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