Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates

DOI10.1007/BF02191771zbMath0820.47008MaRDI QIDQ1337218

Santhosh George, M. Thamban Nair

Publication date: 30 October 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Tikhonov regularizationa posteriori parameter choice strategyill- posed operator equation

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items

Error bounds and parameter choice strategies for simplified regularization in Hilbert scales ⋮ Finite dimensional realization of the FTR method with Raus and Gfrerer type discrepancy principle ⋮ The trade-off between regularity and stability in Tikhonov regularization ⋮ ARCANGELI'S DISCREPANCY PRINCIPLE FOR A MODIFIED PROJECTION SCHEME FOR ILL-POSED PROBLEMS ⋮ On improving accuracy for Arcangeli's method for solving ill-posed equations ⋮ Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates ⋮ A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization ⋮ On a generalized arcangeli's method for tikhonov regularization with inexact data

Cites Work

• Parameter choice by discrepancy principles for the approximate solution of ill-posed problems
• Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates
• An optimal parameter choice for regularized ill-posed problems
• A generalization of Arcangeli's method for ill-posed problems leading to optimal rates
• Asymptotic convergence rate of arcangeli's method for III-posed problems
• On the asymptotic order of accuracy of Tikhonov regularization
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