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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 6, Pages 843–852
DOI: https://doi.org/10.7868/S0044466913060239 (Mi zvmmf9834) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Numerical algorithms for solving matrix equations $AX+BX^T=C$ and $AX+BX^*=C$

Yu. O. Vorontsov, Khakim D. Ikramov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
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DOI: https://doi.org/10.7868/S0044466913060239
Abstract: Conditions for the unique solvability of matrix equations of the form $AX+BX^T=C$ and $AX+BX^*=C$ are found. Numerical algorithms of the Bartels–Stewart type for solving such equations are described. Certain numerical tests with these algorithms are presented. In particular, the situation where the conditions for unique solvability are “almost” violated is modeled, and the deterioration of the quality of the computed solution in this situation is traced through.
Key words: matrix equation, adjoint operator, QZ algorithm, matrix pencil, eigenvalue, circulant.
Received: 24.12.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 6, Pages 667–676
DOI: https://doi.org/10.1134/S0965542513060225
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: Yu. O. Vorontsov, Khakim D. Ikramov, “Numerical algorithms for solving matrix equations $AX+BX^T=C$ and $AX+BX^*=C$”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 843–852; Comput. Math. Math. Phys., 53:6 (2013), 667–676
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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