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Izvestiya: Mathematics, 2006, Volume 70, Issue 1, Pages 87–108
DOI: https://doi.org/10.1070/IM2006v070n01ABEH002304 (Mi im559) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the recursive greedy algorithm

E. D. Livshits
English version PDF (390 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM2006v070n01ABEH002304
Abstract: We study the recursive greedy algorithm (RGA) and prove its convergence for any initial function and any dictionary. We get exact (in the power scale) estimates for the rate of convergence of the RGA in the case when the initial function belongs to the class $\mathcal A_1(\mathcal D)$. These estimates are extended to larger classes of initial functions and are used to compare some classes of functions determined by a given dictionary.
Received: 26.11.2004
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 1, Pages 95–116
DOI: https://doi.org/10.4213/im559
Bibliographic databases:
UDC: 517.518.8
Language: English
Original paper language: Russian
Citation: E. D. Livshits, “On the recursive greedy algorithm”, Izv. Math., 70:1 (2006), 87–108
Citation in format AMSBIB
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\by E.~D.~Livshits
\paper On the recursive greedy algorithm
\jour Izv. Math.
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\vol 70
\issue 1
\pages 87--108
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  • https://doi.org/10.1070/IM2006v070n01ABEH002304
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:433
    Russian version PDF:244
    English version PDF:17
    References:63
    First page:1
     
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