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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 498, Pages 64–74 (Mi znsl7036)  
This article is cited in 1 scientific paper (total in 1 paper)

I

Subexponential-time computation of isolated primary components of a polynomial ideal

A. L. Chistov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: We suggest an algorithm for constructing all the isolated primary components of a given polynomial ideal. At the output, they are determined by systems of generators up to embedded components, and also as kernels of some homomorphisms. The complexity of this algorithm is subexponential in the size of the input data.
Key words and phrases: formal power series, fractional power series, nonzero characteristic, Newton–Puiseux algorithm, estimations of irreducible factors.
Received: 31.08.2020
Document Type: Article
UDC: 513.6, 518.5
Language: Russian
Citation: A. L. Chistov, “Subexponential-time computation of isolated primary components of a polynomial ideal”, Representation theory, dynamical systems, combinatorial methods. Part XXXI, Zap. Nauchn. Sem. POMI, 498, POMI, St. Petersburg, 2020, 64–74
Citation in format AMSBIB
\Bibitem{Chi20}
\by A.~L.~Chistov
\paper Subexponential-time computation of isolated primary components of a polynomial ideal
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXXI
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 498
\pages 64--74
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7036}
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  • https://www.mathnet.ru/eng/znsl/v498/p64
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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