Ill-posed problems with a priori information
type: Item
instance of: scholarly article
title: Ill-posed problems with a priori information
zbMATH Open document ID: 0840.65048
author: Alexandr L. Ageev
author: Vladimir Vasin
published in: Inverse and Ill-Posed Problems Series
publication date: 1996-02-13T00:00:00Z
review text: The book contains many new problem settings and results concerning linear and nonlinear ill-posed problems, e.g.: iteration methods based on certain quasi-non-expansive mappings (weak and strong convergence), prox-algorithm for minimization of functionals, Fejér processes, Mann processes, iterative regularization in partially ordered spaces, Gauss-Newton method; determination of a basis of the eigenspace of a linear operator corresponding to a non-isolated eigenvalue; solution of ill-posed moment problems; finite-dimensional approximation of regularized problems (the analysis is based on the discrete approximation theory by F. Stummel); self-regularization by discretization. A lot of numerical examples is presented, too.
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 65-02
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 65J10
zbMATH DE Number: 844029
zbMATH Keywords: weak and strong convergence
zbMATH Keywords: linear
zbMATH Keywords: nonlinear
zbMATH Keywords: ill-posed problems
zbMATH Keywords: iteration methods
zbMATH Keywords: quasi-non-expansive mappings
zbMATH Keywords: prox-algorithm
zbMATH Keywords: Fejér processes
zbMATH Keywords: Mann processes
zbMATH Keywords: iterative regularization
zbMATH Keywords: partially ordered spaces
zbMATH Keywords: Gauss-Newton method
zbMATH Keywords: ill-posed moment problems
zbMATH Keywords: self-regularization
zbMATH Keywords: discretization
zbMATH Keywords: numerical examples
reviewed by: G. Vainikko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 844029