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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 4, Pages 67–94 (Mi fpm1064)  
This article is cited in 74 scientific papers (total in 74 papers)

Cramer's rule for quaternionic systems of linear equations

I. I. Kirchei

Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
Full-text PDF (272 kB) Citations (74)
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Abstract: New definitions of determinant functionals over the quaternion skew field are given in this paper. The inverse matrix over the quaternion skew field is represented by analogues of the classical adjoint matrix. Cramer's rules for right and left quaternionic systems of linear equations have been obtained.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 155, Issue 6, Pages 839–858
DOI: https://doi.org/10.1007/s10958-008-9245-6
Bibliographic databases:
UDC: 512.643.2
Language: Russian
Citation: I. I. Kirchei, “Cramer's rule for quaternionic systems of linear equations”, Fundam. Prikl. Mat., 13:4 (2007), 67–94; J. Math. Sci., 155:6 (2008), 839–858
Citation in format AMSBIB
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\by I.~I.~Kirchei
\paper Cramer's rule for quaternionic systems of linear equations
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 4
\pages 67--94
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2366237}
\zmath{https://zbmath.org/?q=an:1157.15308}
\elib{https://elibrary.ru/item.asp?id=11162675}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 155
\issue 6
\pages 839--858
\crossref{https://doi.org/10.1007/s10958-008-9245-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-57349192046}
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    • This publication is cited in the following 74 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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