ARCANGELI'S DISCREPANCY PRINCIPLE FOR A MODIFIED PROJECTION SCHEME FOR ILL-POSED PROBLEMS

DOI10.1081/NFA-100103793zbMath0986.65057MaRDI QIDQ2748928

M. P. Rajan, M. Thamban Nair

Publication date: 28 May 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

computational complexityprojection methodTikhonov regularizationill-posed problemsArcangeli's methodregularization parameterdiscrepancy principles

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Complexity and performance of numerical algorithms (65Y20) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (5)

Multiscale collocation methods for ill-posed integral equations with a modified posteriori parameter selection ⋮ Legendre spectral multi-projection methods for Fredholm integral equations of the first kind ⋮ A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations ⋮ Heuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional space ⋮ A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization

Cites Work

• Parameter choice by discrepancy principles for the approximate solution of ill-posed problems
• On the regularization of projection methods for solving 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
• Optimization of projection methods for solving ill-posed problems
• An a posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates
• On a generalized arcangeli's method for tikhonov regularization with inexact data
• On improving accuracy for Arcangeli's method for solving ill-posed equations
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