Enriched Krylov subspace methods for ill-posed problems
type: Item
instance of: scholarly article
title: Enriched Krylov subspace methods for ill-posed problems
zbMATH Open document ID: 1017.65025
DOI: 10.1016/S0024-3795(02)00533-5
author: A. Shuibi
author: Daniela Calvetti
author: Lothar Reichel
published in: Linear Algebra and its Applications
publication date: 2003-03-11T00:00:00Z
review text: If a linear system is ill-posed, there may be a few eigenvectors with small eigenvalues. Krylov subspace methods are accelerated if directions are added that model the directions of those eigenvectors. The resulting matrices are low rank updates of matrices that are found in standard Krylov space methods. Detailed numerical examples conclude the paper.
reviewed by: D. Braess
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F22
zbMATH DE Number: 1880080
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: numerical examples
describes a project that uses: Regularization tools
describes a project that uses: TOMS-686
describes a project that uses: RestoreTools
MaRDI profile type: Publication
cites work: The Use of Auto-correlation for Pseudo-rank Determination in Noisy III-conditioned Linear Least-squares Problems
cites work: Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
cites work: Fast CG-Based Methods for Tikhonov--Phillips Regularization
cites work: Q4843158
cites work: Regularization methods for large-scale problems
cites work: Q4296893
cites work: Quasi-Newton approach to nonnegative image restorations
cites work: Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
cites work: Methods of conjugate gradients for solving linear systems
cites work: Algorithm 686: FORTRAN subroutines for updating the QR decomposition
cites work: Parallel iterative methods for sparse linear systems
full work available at URL: s0024-3795(02)00533-5
OpenAlex ID: W2038616579
description: scientific article; zbMATH DE number 1880080