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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 219, Pages 158–175 (Mi znsl5990)  
This article is cited in 1 scientific paper (total in 1 paper)

Operations with scalar polynomials and their computer realization

V. N. Kublanovskaya, V. N. Simonova

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (727 kB) Citations (1)
Abstract: In this paper algorithms realizing some operations with scalar polynomials in one and two variables and their computer realization are suggested. The following operations are considered: 1) the computation of the GCD for given scalar polynomials and factorization of each polynomial into the product of two factors: the first factor is the GCD, the second is formed of relativily prime polynomials; 2) the division of polynomials by their common divisor; 3) the decomposition of polynomials in two variables polynomial into irreducible factors; 4) the computation of the LCM for given scalar polynomials. Bibliography: 5 titles.
Received: 01.03.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 4, Pages 2907–2919
DOI: https://doi.org/10.1007/BF02356146
Bibliographic databases:
Document Type: Article
UDC: 518.512.83
Language: Russian
Citation: V. N. Kublanovskaya, V. N. Simonova, “Operations with scalar polynomials and their computer realization”, Computational methods and algorithms. Part X, Zap. Nauchn. Sem. POMI, 219, POMI, St. Petersburg, 1994, 158–175; J. Math. Sci. (New York), 86:4 (1997), 2907–2919
Citation in format AMSBIB
\Bibitem{KubSim94}
\by V.~N.~Kublanovskaya, V.~N.~Simonova
\paper Operations with scalar polynomials and their computer realization
\inbook Computational methods and algorithms. Part~X
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 219
\pages 158--175
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5990}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1330914}
\zmath{https://zbmath.org/?q=an:0940.12007|0867.65005}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 4
\pages 2907--2919
\crossref{https://doi.org/10.1007/BF02356146}
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  • https://www.mathnet.ru/eng/znsl/v219/p158
    • 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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