Finite dimensional realization of a parameter choice strategy for fractional Tikhonov regularization method in Hilbert scales

Year 2023, Volume: 52 Issue: 3, 729 - 752, 30.05.2023

Chitra Mekoth , Santhosh George , Jidesh P

https://doi.org/10.15672/hujms.1092739

Abstract

One of the most crucial parts of applying a regularization method to solve an ill-posed problem is choosing a regularization parameter to obtain an optimal order error estimate. In this paper, we consider the finite dimensional realization of the parameter choice strategy proposed in [C. Mekoth, S. George and P. Jidesh, Appl. Math. Comput. 392, 125701, 2021] for Fractional Tikhonov regularization method for linear ill-posed operator equations in the setting of Hilbert scales.

Keywords

ill-posed problem, fractional Tikhonov regularization, Hilbert scales, parameter choice strategy, finite dimensional realization

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