Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme
type: Item
instance of: scholarly article
title: Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme
zbMATH Open document ID: 1005.65054
DOI: 10.1155/S1085337501000653
author: M. P. Rajan
author: M. Thamban Nair
published in: Abstract and Applied Analysis
publication date: 2003-02-11T00:00:00Z
full work available at URL: https://eudml.org/doc/49771
full work available at URL: issue-6.html
review text: The authors develop an a posteriori Arcangeli-type discrepancy principle for choosing the regularization parameter in a class of regularization methods for linear ill-posed problems employing Pereverzev's modified projection scheme. The procedure is illustrated numerically for Tikhonov's method applied to a linear integral equation of the first kind.
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 47A52
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 1750371
zbMATH Keywords: projection methods
zbMATH Keywords: parameter choice
zbMATH Keywords: numerical example
zbMATH Keywords: Arcangeli-type discrepancy principle
zbMATH Keywords: regularization methods
zbMATH Keywords: linear ill-posed problems
zbMATH Keywords: Tikhonov's method
zbMATH Keywords: linear integral equation of the first kind
reviewed by: Charles W. Groetsch
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1750371