A generalization of Arcangeli's method for ill-posed problems leading to optimal rates

DOI10.1007/BF01203127zbMath0773.65038MaRDI QIDQ1803936

M. Thamban Nair

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

regularizationHilbert spacesdiscrepancy principleill-posed problemsparameter choicenear-optimal convergence rate

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (10)

Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates ⋮ Role of Hilbert Scales in Regularization Theory ⋮ Error bounds and parameter choice strategies for simplified regularization in Hilbert scales ⋮ 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 ⋮ Regularization of ill-posed operator equations: an overview ⋮ 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

• Unnamed Item
• 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
• Asymptotic convergence rate of arcangeli's method for III-posed problems
• On the asymptotic order of accuracy of Tikhonov regularization

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