Some results on condition numbers of the scaled total least squares problem
type: Item
instance of: scholarly article
title: Some results on condition numbers of the scaled total least squares problem
zbMATH Open document ID: 1228.65058
author: Bingyu Li
author: Zhongxiao Jia
published in: Linear Algebra and its Applications
publication date: 2011-06-08T00:00:00Z
review text: A new expression for the first order estimate of the perturbation in the scaled total least squares (STLS) solution is derived. Based on this estimate, the structured condition numbers for those STLS problems with some linear structures is studied. Numerical experiments show that the structured condition numbers can be markedly smaller than their unstructured counterparts.
reviewed by: Tzvetan Semerdjiev
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 5905224
zbMATH Keywords: scaled total least squares
zbMATH Keywords: total least squares
zbMATH Keywords: structured condition number
zbMATH Keywords: perturbation analysis
describes a project that uses: mctoolbox
MaRDI profile type: Publication
full work available at URL: j.laa.2010.07.022
OpenAlex ID: W2136651047
cites work: Q3361799
cites work: Methods for large scale total least squares problems
cites work: On mixed and componentwise condition numbers for Moore–Penrose inverse and linear least squares problems
cites work: Mixed and componentwise condition numbers for rectangular structured matrices
cites work: Perturbation theory for orthogonal projection methods with applications to least squares and total least squares
cites work: An Analysis of the Total Least Squares Problem
cites work: Backward Error and Condition of Structured Linear Systems
cites work: Q4864704
cites work: A total least squares method for Toeplitz systems of equations
cites work: Q4897190
cites work: Scaled total least squares fundamentals
cites work: Q4530418
cites work: Q4353185
cites work: Structured Perturbations Part I: Normwise Distances
cites work: Structured Perturbations Part II: Componentwise Distances
cites work: A note on the perturbation of singular values
cites work: A second order perturbation expansion for small singular values
cites work: Q3812379
cites work: The Analysis for the Total Least Squares Problem with More Than One Solution
cites work: Q4226718
cites work: Q5674306
cites work: Q4470270
cites work: Perturbation analysis and condition numbers of scaled total least squares problems
DOI: 10.1016/J.LAA.2010.07.022
description: scientific article; zbMATH DE number 5905224