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arXiv · 1511.02950

Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces

Vinicius Albani·Peter Elbau·Maarten V. de Hoop·Otmar Scherzer
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Abstract

In this paper, we prove optimal convergence rates results for regularisation methods for solving linear ill-posed operator equations in Hilbert spaces. The result generalises existing convergence rates results on optimality to general source conditions, such as logarithmic source conditions. Moreover, we also provide optimality results under variational source conditions and show the connection to approximative source conditions.

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Vinicius Albani, Peter Elbau, Maarten V. de Hoop, Otmar Scherzer. 2015-11-10. Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces. https://arxiv.org/abs/1511.02950

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