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- W2963398839 abstract "Abstract We show that the convergence rate of {ell^{1}} -regularization for linear ill-posed equations is always {{mathcal{O}}(delta)} if the exact solution is sparse and if the considered operator is injective and weak*-to-weak continuous. Under the same assumptions convergence rates in case of non-sparse solutions are proven. The results base on the fact that certain source-type conditions used in the literature for proving convergence rates are automatically satisfied." @default.
- W2963398839 created "2019-07-30" @default.
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- W2963398839 date "2018-02-01" @default.
- W2963398839 modified "2023-10-17" @default.
- W2963398839 title "Injectivity and weak*-to-weak continuity suffice for convergence rates in ℓ1-regularization" @default.
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- W2963398839 doi "https://doi.org/10.1515/jiip-2017-0008" @default.
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