Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method
type: Item
instance of: scholarly article
title: Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method
zbMATH Open document ID: 1478.65060
author: Santhosh George
author: M. Sabari
published in: Journal of Computational and Applied Mathematics
publication date: 2017-11-03T00:00:00Z
Mathematics Subject Classification ID: 65J22
Mathematics Subject Classification ID: 47A52
zbMATH DE Number: 6802845
zbMATH Keywords: nonlinear ill-posed problem
zbMATH Keywords: steepest descent method
zbMATH Keywords: balancing principle
describes a project that uses: TIGRA
MaRDI profile type: Publication
full work available at URL: j.cam.2017.09.022
OpenAlex ID: W2755145594
cites work: Q4940108
cites work: A Second Degree Method for Nonlinear Inverse Problems
cites work: Inverse problems for partial differential equations
cites work: A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
cites work: A modified landweber method for inverse problems
cites work: A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
cites work: The problem of the convergence of the iteratively regularized Gauss- Newton method
cites work: On convergence rates for the iteratively regularized Gauss-newton method
cites work: Regularizing properties of a truncated newton-cg algorithm for nonlinear inverse problems
cites work: On convergence of regularized modified Newton's method for nonlinear ill-posed problems
cites work: Some Newton-type methods for the regularization of nonlinear ill-posed problems
cites work: TIGRA an iterative algorithm for regularizing nonlinear ill-posed problems
cites work: A convergence analysis of a method of steepest descent and a two–step algorothm for nonlinear ill–posed problems
cites work: A convergence rate result for a steepest descent method and a minimal error method for the solution of nonlinear ill-posed problems
cites work: Iterative solution methods for inconsistent linear equations with nonself-adjoint operators
cites work: Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation
cites work: Inverse free iterative methods for nonlinear ill-posed operator equations
cites work: Convergence and Applications of Newton-type Iterations
cites work: On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems
cites work: Q3830432
cites work: Iterative regularization methods for nonlinear ill-posed problems
cites work: An introduction to the mathematical theory of inverse problems
cites work: On the characterization of self-regularization properties of a fully discrete projection method for Symm's integral equation
cites work: On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
cites work: Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators
DOI: 10.1016/J.CAM.2017.09.022
description: scientific article; zbMATH DE number 6802845