\(L\)-curve curvature bounds via Lanczos bidiagonalization
type: Item
instance of: scholarly article
title: \(L\)-curve curvature bounds via Lanczos bidiagonalization
zbMATH Open document ID: 1029.65041
author: Per Christian Hansen
author: Daniela Calvetti
author: Lothar Reichel
publication date: 2003-05-05T00:00:00Z
full work available at URL: https://eudml.org/doc/123185
full work available at URL: pp20-35.html
review text: Methods similar to those employed for the computation of the \(L\)-ribbon are used here to compute a ``curvature-ribbon'' by partial Lanczos bidiagonalization of a matrix. A suitable value of the regularization parameter for ill-conditioned systems of equations is then determined. An associated approximate solution of the linear system follows with little additional work.
Mathematics Subject Classification ID: 65F22
zbMATH DE Number: 1893809
zbMATH Keywords: ill-posed problem
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: \(L\)-curve
zbMATH Keywords: Gauss quadrature
zbMATH Keywords: partial Lanczos bidiagonalization
zbMATH Keywords: ill-conditioned systems
reviewed by: Sanjo Zlobec
MaRDI profile type: Publication
published in: ETNA - Electronic Transactions on Numerical Analysis
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description: scientific article; zbMATH DE number 1893809