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arXiv · 1807.05042

Semi-Heuristic Parameter Choice Rules for Tikhonov Regularisation with Operator Perturbations

Uno Hämarik·Urve Kangro·Stefan Kindermann·Kemal Raik
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Abstract

We study the choice of the regularisation parameter for linear ill-posed problems in the presence of data noise and operator perturbations, for which a bound on the operator error is known but the data noise-level is unknown. We introduce a new family of semi-heuristic parameter choice rules that can be used in the stated scenario. We prove convergence of the new rules and provide numerical experiments that indicate an improvement compared to standard heuristic rules.

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Uno Hämarik, Urve Kangro, Stefan Kindermann, Kemal Raik. 2018-07-13. Semi-Heuristic Parameter Choice Rules for Tikhonov Regularisation with Operator Perturbations. https://arxiv.org/abs/1807.05042

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