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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 405, Pages 54–58 (Mi znsl5277)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical solution of the matrix equations $AX+X^TB=C$ and $X+AX^TB=C$ with rectangular coefficients

Y. O. Vorontsov, Kh. D. Ikramov

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (140 kB) Citations (2)
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Abstract: It is shown how one should supplement the orthogonal algorithms previously proposed by the authors for the equations in the title of the article with square matrix coefficients so that these algorithms are able to solve equations with rectangular coefficients, provided that the latter satisfy the unique solvability.
Key words and phrases: matrix equation, unique solvability, orthogonal algorithm, eigenvalues.
Received: 15.05.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 191, Issue 1, Pages 28–30
DOI: https://doi.org/10.1007/s10958-013-1298-5
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: Y. O. Vorontsov, Kh. D. Ikramov, “Numerical solution of the matrix equations $AX+X^TB=C$ and $X+AX^TB=C$ with rectangular coefficients”, Computational methods and algorithms. Part XXV, Zap. Nauchn. Sem. POMI, 405, POMI, St. Petersburg, 2012, 54–58; J. Math. Sci. (N. Y.), 191:1 (2013), 28–30
Citation in format AMSBIB
\Bibitem{VorIkr12}
\by Y.~O.~Vorontsov, Kh.~D.~Ikramov
\paper Numerical solution of the matrix equations $AX+X^TB=C$ and $X+AX^TB=C$ with rectangular coefficients
\inbook Computational methods and algorithms. Part~XXV
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 405
\pages 54--58
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5277}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029611}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 191
\issue 1
\pages 28--30
\crossref{https://doi.org/10.1007/s10958-013-1298-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884986394}
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  • https://www.mathnet.ru/eng/znsl/v405/p54
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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