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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 436, Pages 219–239 (Mi znsl6169)  

This article is cited in 4 scientific papers (total in 4 papers)

Computations with parameters: a theoretical background

A. L. Chistov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (250 kB) Citations (4)
References:
Abstract: Consider a computational algebraic problem with the inputs depending on parameters. The aim of the computation is to stratify the variety of parameters such that for each stratum $\mathcal W_\alpha$ the solution of the problem for arbitrary values of parameters from each stratum as function of parameters is computed by the same algebraic formulas depending only on the stratum $\mathcal W_\alpha$.
We suggest a model for computations with parameters which is convenient for practical aims and prove a fundamental result for it.
Key words and phrases: computations with parameters, stratifications, computation trees, computation forests.
Received: 03.08.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 215, Issue 6, Pages 769–781
DOI: https://doi.org/10.1007/s10958-016-2882-2
Bibliographic databases:
Document Type: Article
UDC: 513.6+518.5
Language: Russian
Citation: A. L. Chistov, “Computations with parameters: a theoretical background”, Representation theory, dynamical systems, combinatorial methods. Part XXV, Zap. Nauchn. Sem. POMI, 436, POMI, St. Petersburg, 2015, 219–239; J. Math. Sci. (N. Y.), 215:6 (2016), 769–781
Citation in format AMSBIB
\Bibitem{Chi15}
\by A.~L.~Chistov
\paper Computations with parameters: a~theoretical background
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXV
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 436
\pages 219--239
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6169}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3498195}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 215
\issue 6
\pages 769--781
\crossref{https://doi.org/10.1007/s10958-016-2882-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84966478632}
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  • https://www.mathnet.ru/eng/znsl6169
  • https://www.mathnet.ru/eng/znsl/v436/p219
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:41
     
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