A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations
type: Item
instance of: scholarly article
title: A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations
zbMATH Open document ID: 1410.65229
author: P. Jidesh
author: Santhosh George
author: Vorkady. S. Shubha
published in: Applied Mathematics and Computation
publication date: 2018-06-19T00:00:00Z
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 6890785
zbMATH Keywords: iterative method
zbMATH Keywords: quadratic convergence
zbMATH Keywords: nonlinear ill-posed equations
zbMATH Keywords: Lavrentiev regularization
zbMATH Keywords: adaptive method
MaRDI profile type: Publication
full work available at URL: j.amc.2014.12.090
OpenAlex ID: W2010507584
cites work: Numerical methods for equations and its applications.
cites work: Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems
cites work: ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS
cites work: On convergence rates for the iteratively regularized Gauss-newton method
cites work: A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions
cites work: Newton–Lavrentiev regularization of ill-posed Hammerstein type operator equation
cites work: On convergence of regularized modified Newton's method for nonlinear ill-posed problems
cites work: A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations
cites work: A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations
cites work: Dynamical systems method for solving nonlinear equations with monotone operators
cites work: ITERATED LAVRENTIEV REGULARIZATION FOR NONLINEAR ILL-POSED PROBLEMS
cites work: Geometry of linear ill-posed problems in variable Hilbert scales
cites work: Regularized Versions of Continuous Newton's Method and Continuous Modified Newton's Method Under General Source Conditions
cites work: Q5652137
cites work: On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
cites work: Error estimates of some Newton-type methods for solving nonlinear inverse problems in Hilbert scales
cites work: A convergence analysis for Tikhonov regularization of nonlinear ill-posed problems
cites work: On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
cites work: Inverse Problems. Mathematical and analytical techniques with applications to engineering
cites work: Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators
cites work: On the method of Lavrentiev regularization for nonlinear ill-posed problems
cites work: Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation
cites work: An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems
DOI: 10.1016/J.AMC.2014.12.090
description: scientific article; zbMATH DE number 6890785