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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 9, Pages 1448–1454
DOI: https://doi.org/10.7868/S0044466914090038 (Mi zvmmf10086) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Algorithms for projecting a point onto a level surface of a continuous function on a compact set

N. K. Arutyunova, A. M. Dulliev, V. I. Zabotin

Kazan National Research Technological University, ul. Karla Marksa 10, Kazan, 420111, Tatarstan, Russia
Full-text PDF (299 kB) Citations (8)
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DOI: https://doi.org/10.7868/S0044466914090038
Abstract: Given an equation $f(x)=0$, the problem of finding its solution nearest to a given point is considered. In contrast to the authors’ previous works dealing with this problem, exact algorithms are proposed assuming that the function $f$ is continuous on a compact set. The convergence of the algorithms is proved, and their performance is illustrated with test examples.
Key words: $\varepsilon$-Lipschitz continuity, projection of a point onto a level surface, nonconvex set, solution of a nonlinear equation.
Received: 10.11.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 9, Pages 1395–1401
DOI: https://doi.org/10.1134/S0965542514090036
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: N. K. Arutyunova, A. M. Dulliev, V. I. Zabotin, “Algorithms for projecting a point onto a level surface of a continuous function on a compact set”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014), 1448–1454; Comput. Math. Math. Phys., 54:9 (2014), 1395–1401
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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