Bounds for the least squares distance using scaled total least squares
type: Item
instance of: scholarly article
title: Bounds for the least squares distance using scaled total least squares
zbMATH Open document ID: 0998.65045
author: Christopher C. Paige
author: Zdeněk Strakoš
published in: Numerische Mathematik
publication date: 2002-05-30T00:00:00Z
review text: The authors analyze fundamentals of the scaled total least squares problem. They present a theoretical analysis of the relationship between the sizes of least squares and scaled least squares corrections in terms of the real positive corrections restricted parameter. New upper and lower bounds on the least squares distance in terms of the scaled total least squares distances are given. They are compared to existing bounds and the tightness of the new bounds is examined. The obtained results can be applied to the analysis of iterative methods which minimize the residual norm. The generalized minimum residual method is used to illustrate the theoretical results.
reviewed by: Tzvetan Semerdjiev
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1747968
zbMATH Keywords: overdetermined linear systems
zbMATH Keywords: error bounds
zbMATH Keywords: scaled total least squaes
zbMATH Keywords: iterative methods
zbMATH Keywords: generalized minimum residual method
describes a project that uses: mctoolbox
MaRDI profile type: Publication
full work available at URL: s002110100317
OpenAlex ID: W4247319463
DOI: 10.1007/S002110100317
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description: scientific article; zbMATH DE number 1747968