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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 436, Pages 219–239
(Mi znsl6169)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl6169 https://www.mathnet.ru/eng/znsl/v436/p219
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Abstract page: | 189 | Full-text PDF : | 41 | References: | 41 |
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