Error estimates for linear systems with applications to regularization
type: Item
instance of: scholarly article
title: Error estimates for linear systems with applications to regularization
zbMATH Open document ID: 1162.65018
published in: Numerical Algorithms
publication date: 2009-04-29T00:00:00Z
Mathematics Subject Classification ID: 65F22
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5549478
zbMATH Keywords: ill-conditioned linear systems
zbMATH Keywords: regularization
zbMATH Keywords: error estimates
zbMATH Keywords: Tikhonov's method
zbMATH Keywords: stopping criterion
zbMATH Keywords: iterative methods
zbMATH Keywords: conjugate gradient algorithm
zbMATH Keywords: numerical experiments
author: Claude Brezinski
author: G. Rodriguez
author: Sebastiano Seatzu
describes a project that uses: UTV
describes a project that uses: corner.m
describes a project that uses: smt
describes a project that uses: Matlab
describes a project that uses: Regularization tools
MaRDI profile type: Publication
full work available at URL: s11075-008-9163-1
OpenAlex ID: W1999801902
cites work: A posteriori error estimates for linear equations
cites work: Error Estimates for the Solution of Linear Systems
cites work: Extrapolation techniques for ill-conditioned linear systems
cites work: Multi-parameter regularization techniques for ill-conditioned linear systems
cites work: Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
cites work: A study of Auchmuty's error estimate
cites work: Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
cites work: Q4353199
cites work: Q4288554
cites work: Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
cites work: An adaptive pruning algorithm for the discrete L-curve criterion
cites work: The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
cites work: A Method for Generating Infinite Positive Self-adjoint Test Matrices and Riesz Bases
cites work: The prolate matrix
DOI: 10.1007/S11075-008-9163-1
Recommended article: Error estimates for the regularization of least squares problems
Recommended article: Error Estimates for the Solution of Linear Systems
Recommended article: Q4945752
Recommended article: Error estimates for regularized solutions of non-linear ill-posed problems
Recommended article: Q3718091
Recommended article: Estimates of the error of regularization methods for normally solvable problems
Recommended article: On regularization procedures with linear accuracy estimates of approximations
Recommended article: Regularized linearization method with errors in the initial data
Recommended article: Error bounds for regularized solutions of nonlinear ill-posed problems
Recommended article: Error Estimates for Regularization Methods in Hilbert Scales
description: scientific article; zbMATH DE number 5549478