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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 323, Pages 15–23 (Mi znsl376)  
This article is cited in 1 scientific paper (total in 1 paper)

The matrix equation $AX-YB=C$ and related problems

Yu. A. Alpin, S. N. Il'in

Kazan State University
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Abstract: The main result of the paper is a theorem, using which a new proof of Roth's theorem is obtained, a new solvability criterion for the matrix equation $AX-YB=C$ is proved, a formula for a particular solution of the latter is derived, and the least of the orders of nonsingular matrices containing a given rectangular matrix as a submatrix is determined.
Received: 01.06.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 3, Pages 4769–4773
DOI: https://doi.org/10.1007/s10958-006-0273-9
Bibliographic databases:
UDC: 512
Language: Russian
Citation: Yu. A. Alpin, S. N. Il'in, “The matrix equation $AX-YB=C$ and related problems”, Computational methods and algorithms. Part XVIII, Zap. Nauchn. Sem. POMI, 323, POMI, St. Petersburg, 2005, 15–23; J. Math. Sci. (N. Y.), 137:3 (2006), 4769–4773
Citation in format AMSBIB
\Bibitem{AlpIli05}
\by Yu.~A.~Alpin, S.~N.~Il'in
\paper The matrix equation $AX-YB=C$ and related problems
\inbook Computational methods and algorithms. Part~XVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 323
\pages 15--23
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl376}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2160304}
\zmath{https://zbmath.org/?q=an:1086.15011}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 3
\pages 4769--4773
\crossref{https://doi.org/10.1007/s10958-006-0273-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746822700}
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  • https://www.mathnet.ru/eng/znsl/v323/p15
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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