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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 103–126 (Mi tm768)  
This article is cited in 3 scientific papers (total in 3 papers)

Approximation of Convex Compact Sets by Ellipsoids. Ellipsoids of Best Approximation

Yu. N. Kiselev

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (392 kB) Citations (3)
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Abstract: The problem of best approximation of a convex compact set in a finite-dimensional space by ellipsoids with respect to a special measure of deviation of an ellipsoid from a compact set is considered. An analytic description of ellipsoids of best approximation is given.
Received in April 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 96–120
DOI: https://doi.org/10.1134/S0081543808030097
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: Yu. N. Kiselev, “Approximation of Convex Compact Sets by Ellipsoids. Ellipsoids of Best Approximation”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Trudy Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 103–126; Proc. Steklov Inst. Math., 262 (2008), 96–120
Citation in format AMSBIB
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\paper Approximation of Convex Compact Sets by Ellipsoids. Ellipsoids of Best Approximation
\inbook Optimal control
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\pages 103--126
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 3 articles:
    1. Dean R.Ch., Varshney L.R., “Optimal Recovery of Missing Values For Non-Negative Matrix Factorization”, IEEE Open J. Signal Process., 2 (2021), 207–216  crossref  isi  scopus
    2. Chen R., Varshney L.R., “Non-Negative Matrix Factorization of Clustered Data With Missing Values”, 2019 IEEE Data Science Workshop (Dsw), IEEE, 2019, 180–184  crossref  isi
    3. Pan Li, Baihong Jin, Ruoxuan Xiong, Dai Wang, Alberto Sangiovanni-Vincentelli, Baosen Zhang, 2019 American Control Conference (ACC), 2019, 1301  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Abstract page:625
    Full-text PDF :136
    References:155
    First page:30
     
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