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

Autor: Chitra MEKOTH, Santhosh GEORGE, Jidesh P
Rok vydání: 2022
Předmět:
Zdroj: Hacettepe Journal of Mathematics and Statistics
ISSN: 2651-477X
DOI: 10.15672/hujms.1092739
Popis: 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. Fractional Tikhonov regularization method in Hilbert scales. Appl. Math. Comput.(2021), 392: 125701, 26 DOI:10.1016/j.amc.2020.125701] for Fractional Tikhonov regularization method for linear ill-posed operator equations in the setting of Hilbert scales.
Databáze: OpenAIRE