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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 2, Pages 179–182
DOI: https://doi.org/10.7868/S0044466914020161 (Mi zvmmf9985) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Numerical solution of the matrix equations $AX+X^TB=C$ and $AX+X^*B=C$ in the self-adjoint case

Yu. O. Vorontsov, Khakim D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
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DOI: https://doi.org/10.7868/S0044466914020161
Abstract: The numerical algorithms for solving equations of the type $AX+X^TB=C$ or $AX+X^*B=C$ that were earlier proposed by the authors are now modified for the situations where these equations can be regarded as self-adjoint ones. The economy in computational time and work achieved through these modifications is illustrated by numerical results.
Key words: matrix equation, adjoint operator, matrix pencil, self-adjointness, semilinear operator.
Received: 23.04.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 2, Pages 191–194
DOI: https://doi.org/10.1134/S0965542514020146
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: Yu. O. Vorontsov, Khakim D. Ikramov, “Numerical solution of the matrix equations $AX+X^TB=C$ and $AX+X^*B=C$ in the self-adjoint case”, Zh. Vychisl. Mat. Mat. Fiz., 54:2 (2014), 179–182; Comput. Math. Math. Phys., 54:2 (2014), 191–194
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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