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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 11, Pages 1991–1999 (Mi zvmmf567)  
This article is cited in 12 scientific papers (total in 12 papers)

Convergence of the suitable affine subspace method for finding the least distance to a simplex

E. A. Nurminski

Institute for Automation and Control Processes, Far East Division, Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041, Russia
Full-text PDF (1044 kB) Citations (12)
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Abstract: A minimum-length vector is found for a simplex in a finite-dimensional Euclidean space. The algorithm of successive projections onto affine subspaces containing suitable subsimplices of the initial simplex is shown to have a globally higher-than-linear convergence rate. Results of numerical experiments are presented.
Key words: projection, minimum-norm element, simplex.
Received: 28.03.2005
Bibliographic databases:
Document Type: Article
UDC: 519.677
Language: Russian
Citation: E. A. Nurminski, “Convergence of the suitable affine subspace method for finding the least distance to a simplex”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 1991–1999; Comput. Math. Math. Phys., 45:11 (2005), 1915–1922
Citation in format AMSBIB
\Bibitem{Nur05}
\by E.~A.~Nurminski
\paper Convergence of the suitable affine subspace method for finding the least distance to a simplex
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 11
\pages 1991--1999
\mathnet{http://mi.mathnet.ru/zvmmf567}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2203223}
\zmath{https://zbmath.org/?q=an:1103.52012}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 11
\pages 1915--1922
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :177
    References:55
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