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Computer Research and Modeling, 2013, Volume 5, Issue 3, Pages 379–394
DOI: https://doi.org/10.20537/2076-7633-2013-5-3-379-394 (Mi crm402) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Criteria and convergence of the focal approximation

T. A. Rakcheeva

Mechanical Engineering Research Institute, RAS, 4 Bardina st., Moscow, 117334, Russia
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DOI: https://doi.org/10.20537/2076-7633-2013-5-3-379-394
Abstract: Methods of the solution of a problem of focal approximation — approach on point-by-point given smooth closed empirical curve by multifocal lemniscates are investigated. Criteria and convergence of the developed approached methods with use of the description, both in real, and in complex variables are analyzed. Topological equivalence of the used criteria is proved.
Keywords: curves, approximation, lemniscates, foci, criterion of curves nearness, basic, shape, invariant, algorithm, freedom degrees.
Received: 11.03.2013
Revised: 10.05.2013
Document Type: Article
UDC: 519.65
Language: Russian
Citation: T. A. Rakcheeva, “Criteria and convergence of the focal approximation”, Computer Research and Modeling, 5:3 (2013), 379–394
Citation in format AMSBIB
\Bibitem{Rak13}
\by T.~A.~Rakcheeva
\paper Criteria and convergence of the focal approximation
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 3
\pages 379--394
\mathnet{http://mi.mathnet.ru/crm402}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-3-379-394}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Computer Research and Modeling
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