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Matematicheskie Zametki, 2024, Volume 115, Issue 1, Pages 43–50
DOI: https://doi.org/10.4213/mzm13678 (Mi mzm13678) 		 
Comparison of Purely Greedy and Orthogonal Greedy Algorithm

K. S. Vishnevetskiyab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.4213/mzm13678
Abstract: Conditions for a dictionary in a Hilbert space are obtained that are necessary or sufficient for the coincidence of purely greedy and orthogonal greedy algorithms with respect to this dictionary.
Keywords: greedy approximation, $m$-term approximation, Hilbert space, coherence parameter.
Funding agency Grant number
Russian Science Foundation 22-21-00415
This work was supported by the Russian Science Foundation under grant no. 22-21-00415, https://rscf.ru/en/project/22-21-00415/.
Received: 30.07.2022
Revised: 18.03.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 1, Pages 37–43
DOI: https://doi.org/10.1134/S0001434624010048
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: K. S. Vishnevetskiy, “Comparison of Purely Greedy and Orthogonal Greedy Algorithm”, Mat. Zametki, 115:1 (2024), 43–50; Math. Notes, 115:1 (2024), 37–43
Citation in format AMSBIB
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