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The rate of convergence of weak greedy approximations over orthogonal dictionaries

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Abstract

The convergence rate of a weak orthogonal greedy algorithm is studied for the subspace ℓ1 ⊂ ℓ2 and orthogonal dictionaries. It is shown that general results on convergence rate of weak orthogonal greedy algorithms can be essentially improved in the studied case. It is also shown that this improvement is asymptotically sharp.

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Authors and Affiliations

  1. Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119991, Russia

    A. S. Orlova

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  1. A. S. Orlova
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Correspondence to A. S. Orlova.

Additional information

Original Russian Text © A.S. Orlova, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 2, pp. 68–72.

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Orlova, A.S. The rate of convergence of weak greedy approximations over orthogonal dictionaries. Moscow Univ. Math. Bull. 72, 84–87 (2017). https://doi.org/10.3103/S0027132217020097

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  • DOI: https://doi.org/10.3103/S0027132217020097

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