On optimal convergence for regularized Tikhonov approximations
type: Item
instance of: scholarly article
title: On optimal convergence for regularized Tikhonov approximations
zbMATH Open document ID: 0621.65135
DOI: 10.1007/BF00939774
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: We consider the generalized solution to a Fredholm integral equation of the first kind, and establish conditions for which the Tikhonov and Raleigh-Ritz approximations converge to the true solution at the same rate as the perturbed data approaches to the exact data.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 4007679
zbMATH Keywords: optimal convergence
zbMATH Keywords: generalized solution
zbMATH Keywords: Fredholm integral equation of the first kind
zbMATH Keywords: Raleigh-Ritz approximations
zbMATH Keywords: perturbed data
zbMATH Keywords: ill-posed problems
zbMATH Keywords: Tikhonov regularization
author: Julio E. Guacaneme
MaRDI profile type: Publication
cites work: Q4125663
cites work: Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind
cites work: Q3334886
cites work: On the asymptotic order of accuracy of Tikhonov regularization
cites work: Q5593890
full work available at URL: https://doi.org/10.1007/bf00939774
OpenAlex ID: W2089411956
description: scientific article; zbMATH DE number 4007679