Nonlinear implicit iterative method for solving nonlinear ill-posed problems
type: Item
instance of: scholarly article
title: Nonlinear implicit iterative method for solving nonlinear ill-posed problems
zbMATH Open document ID: 1191.65066
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2010-01-04T00:00:00Z
review text: The authors study the iterated Tikhonov regularization method for solving nonlinear ill-posed problems and prove its convergence under some conditions. Reviewer's notes: The directly related papers by \textit{O. Scherzer} [Numer. Math. 66, No.~2, 259--279 (1993; Zbl 0791.65040)] and by \textit{Q.-N. Jin} and \textit{Z.-Y. Hou} [Inverse Probl. 13, No.~3, 815--827 (1997; Zbl 0881.65051)] have not been cited by the authors.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 47J06
zbMATH DE Number: 5652410
zbMATH Keywords: nonlinear ill-posed problems
zbMATH Keywords: iterative method
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: convergence
author: Jian-Jun Liu
author: Guoqiang He
author: Chuan-Gang Kang
reviewed by: Dinh Nho Hào
MaRDI profile type: Publication
full work available at URL: s10483-009-0913-1
OpenAlex ID: W2085332683
cites work: Q4217295
cites work: Q4895893
cites work: A convergence analysis of the iteratively regularized Gauss–Newton method under the Lipschitz condition
cites work: Iterative Runge–Kutta-type methods for nonlinear ill-posed problems
cites work: Q4719192
cites work: Q4528683
cites work: A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
cites work: Regularizing properties of a truncated newton-cg algorithm for nonlinear inverse problems
DOI: 10.1007/S10483-009-0913-1
Recommended article: Q4203280
Recommended article: Q3774849
Recommended article: A Regularized Iterative Scheme for Solving Nonlinear Ill-Posed Problems
Recommended article: A convergence analysis of nonlinear implicit iterative method for nonlinear ill-posed problems
Recommended article: Iterative regularization methods for nonlinear ill-posed problems
Recommended article: A numerical method for solving nonlinear ill-posed problems
Recommended article: Q6091758
Recommended article: Non-negativity and iterative methods for ill-posed problems
Recommended article: Iterative Runge–Kutta-type methods for nonlinear ill-posed problems
Recommended article: Q4532111
description: scientific article; zbMATH DE number 5652410