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

Authors : Chitra MEKOTH, Santhosh GEORGE, Jidesh P

Pages : 729-752

Doi:10.15672/hujms.1092739

View : 97 | Download : 182

Publication Date : 2023-05-30

Article Type : Research Paper

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