Asymptotic convergence rate of arcangeli's method for III-posed problems

DOI10.1080/00036818408839519zbMath0564.65037OpenAlexW2055271233WikidataQ58274838 ScholiaQ58274838MaRDI QIDQ3678580

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Publication date: 1985

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818408839519

zbMATH Keywords

Hilbert spacesTikhonov regularizationdiscrepancy principleill-posed problemsArcangeli's methodasymptotic convergence rateregularization methodsparameter choicenon-closed range

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Fredholm integral equations (45B05)

Related Items

Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates ⋮ Error bounds and parameter choice strategies for simplified regularization in Hilbert scales ⋮ On improving accuracy for Arcangeli's method for solving ill-posed equations ⋮ Comparing parameter choice methods for regularization of ill-posed problems ⋮ A generalization of Arcangeli's method for ill-posed problems leading to optimal rates ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates ⋮ Parameter choice by discrepancy principles for the approximate solution of ill-posed problems ⋮ On a generalized arcangeli's method for tikhonov regularization with inexact data ⋮ Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates

Cites Work

• On the asymptotic order of accuracy of Tikhonov regularization
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