Regularization of ill-posed operator equations: an overview
type: Item
instance of: scholarly article
title: Regularization of ill-posed operator equations: an overview
zbMATH Open document ID: 1468.65051
author: Yanyan Li
published in: The Journal of Analysis
publication date: 2021-08-19T00:00:00Z
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45E99
zbMATH DE Number: 7383689
zbMATH Keywords: ill-posed problems
zbMATH Keywords: least-square solution
zbMATH Keywords: regularization
zbMATH Keywords: Hilbert scales
zbMATH Keywords: backward heat equation
zbMATH Keywords: source condition
zbMATH Keywords: Lavrentiev
zbMATH Keywords: Tikhonov
zbMATH Keywords: Morozov
zbMATH Keywords: Arcangeli
zbMATH Keywords: optimal rate
MaRDI profile type: Publication
full work available at URL: s41478-020-00263-9
OpenAlex ID: W3046210810
cites work: Q4895893
cites work: Q3334886
cites work: Q3137923
cites work: Arcangeli's Method for Fredholm Equations of the First Kind
cites work: Q3728703
cites work: Q3994949
cites work: Simplified iterated Lavrentiev regularization for nonlinear ill-posed monotone operator equations
cites work: A generalization of Arcangeli's method for ill-posed problems leading to optimal rates
cites work: Q5311855
cites work: Q5320677
cites work: On Morozov's method for Tikhonov regularization as an optimal order yielding algorithm
cites work: Q4506148
cites work: On improving error estimates for Tikhonov regularization using an unbounded operator
cites work: A unified treatment for Tikhonov regularization using a general stabilizing operator
cites work: The trade-off between regularity and stability in Tikhonov regularization
cites work: Regularized Versions of Continuous Newton's Method and Continuous Modified Newton's Method Under General Source Conditions
cites work: Q3995594
DOI: 10.1007/S41478-020-00263-9
Recommended article: Operator-theoretic and regularization approaches to ill-posed problems
Recommended article: Q3223397
Recommended article: Q3700704
Recommended article: Optimal regularization of ill-posed normally solvable operator equations
Recommended article: Regularization of ill-posed problems with unbounded operators
Recommended article: Ill-Posed Problems: Operator Methodologies of Resolution and Regularization
Recommended article: Regularization theory for ill-posed problems. Selected topics
Recommended article: Regularization of ill-posed problems with normally resolvable operators
Recommended article: Q3779270
Recommended article: Q3791723
description: scientific article; zbMATH DE number 7383689