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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 6, Pages 853–856
DOI: https://doi.org/10.7868/S0044466913060227 (Mi zvmmf9835) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Modifying a numerical algorithm for solving the matrix equation $X+AX^TB=C$

Yu. O. Vorontsov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
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DOI: https://doi.org/10.7868/S0044466913060227
Abstract: Certain modifications are proposed for a numerical algorithm solving the matrix equation $X+AX^TB=C$. By keeping the intermediate results in storage and repeatedly using them, it is possible to reduce the total complexity of the algorithm from $O(n^4)$ to $O(n^3)$ arithmetic operations.
Key words: matrix equation, periodic QZ algorithm.
Received: 24.12.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 6, Pages 677–680
DOI: https://doi.org/10.1134/S0965542513060213
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: Yu. O. Vorontsov, “Modifying a numerical algorithm for solving the matrix equation $X+AX^TB=C$”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 853–856; Comput. Math. Math. Phys., 53:6 (2013), 677–680
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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