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Matematicheskie Zametki, 2022, Volume 112, Issue 2, Pages 163–169
DOI: https://doi.org/10.4213/mzm13424 (Mi mzm13424) 		 
Conical Greedy Algorithm

M. A. Valovab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.4213/mzm13424
Abstract: A weak conical greedy algorithm is introduced with respect to an arbitrary positive complete dictionary in a Hilbert space; this algorithm gives an approximation of an arbitrary space element by a combination of dictionary elements with nonnegative coefficients. The convergence of this algorithm is proved and an estimate of the convergence rate for the elements of the convex hull of the dictionary is given.
Keywords: greedy algorithm, cone, convergence, dictionary, approximation.
Received: 19.01.2022
Revised: 26.03.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 2, Pages 171–176
DOI: https://doi.org/10.1134/S0001434622070203
Bibliographic databases:
Document Type: Article
UDC: 517.518.8
Language: Russian
Citation: M. A. Valov, “Conical Greedy Algorithm”, Mat. Zametki, 112:2 (2022), 163–169; Math. Notes, 112:2 (2022), 171–176
Citation in format AMSBIB
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\by M.~A.~Valov
\paper Conical Greedy Algorithm
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 2
\pages 163--169
\mathnet{http://mi.mathnet.ru/mzm13424}
\crossref{https://doi.org/10.4213/mzm13424}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 2
\pages 171--176
\crossref{https://doi.org/10.1134/S0001434622070203}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85136664495}
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