Geodesic
Comparison of Purely Greedy and Orthogonal Greedy Algorithm
Matematičeskie zametki, Tome 115 (2024) no. 1, pp. 43-50

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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. 
@article{MZM_2024_115_1_a3,
     author = {K. S. Vishnevetskiy},
     title = {Comparison of {Purely} {Greedy} and {Orthogonal} {Greedy} {Algorithm}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {43--50},
     publisher = {mathdoc},
     volume = {115},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2024_115_1_a3/}
}
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K. S. Vishnevetskiy. Comparison of Purely Greedy and Orthogonal Greedy Algorithm. Matematičeskie zametki, Tome 115 (2024) no. 1, pp. 43-50. http://geodesic.mathdoc.fr/item/MZM_2024_115_1_a3/