Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates

DOI10.1007/s12190-019-01309-3OpenAlexW2996388602WikidataQ126586329 ScholiaQ126586329MaRDI QIDQ2053008

Santhosh George, K. Kanagaraj, G. D. Reddy

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01309-3

zbMATH Keywords

convergence ratediscrepancy principleregularization parameterill-posed equationsfractional Tikhonov regularization method

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (1)

Finite dimensional realization of the FTR method with Raus and Gfrerer type discrepancy principle

Uses Software

• Regularization tools

Cites Work

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• Tikhonov-Phillips regularization with operator dependent seminorms
• Fractional regularization matrices for linear discrete ill-posed problems
• Fractional Tikhonov regularization for linear discrete ill-posed problems
• The parameter choice rules for weighted Tikhonov regularization scheme
• Parameter choice by discrepancy principles for the approximate solution of ill-posed problems
• On fractional Tikhonov regularization
• Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates
• On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems
• An optimal parameter choice for regularized ill-posed problems
• Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates
• A generalization of Arcangeli's method for ill-posed problems leading to optimal rates
• Fractional Tikhonov regularization with a nonlinear penalty term
• On generalized iterated Tikhonov regularization with operator-dependent seminorms
• Regularization tools version \(4.0\) for matlab \(7.3\)
• Asymptotic convergence rate of arcangeli's method for III-posed problems
• An Improved Version of Marti's Method for Solving Ill-Posed Linear Integral Equations
• On a generalized arcangeli's method for tikhonov regularization with inexact data
• Iterated fractional Tikhonov regularization
• Regularization by fractional filter methods and data smoothing
• On the asymptotic order of accuracy of Tikhonov regularization

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