Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates
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Date
2020
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Publisher
Springer
Abstract
Fractional Tikhonov regularization (FTR) method was studied in the last few years for approximately solving ill-posed problems. In this study we consider the Schock-type discrepancy principle for choosing the regularization parameter in FTR and obtained the order optimal convergence rate. Numerical examples are provided in this study. © 2019, Korean Society for Informatics and Computational Applied Mathematics.
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Keywords
Computational methods, Mathematical techniques, Convergence rates, Discrepancy principle, Ill-posed equations, Regularization parameters, Tikhonov regularization method, Parameterization
Citation
Journal of Applied Mathematics and Computing, 2020, 63, 46054, pp. 87-105