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SIAM Journal on Matrix Analysis and Applications
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SIAM Journal on Matrix Analysis and Applications
Article . 1999 . Peer-reviewed
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Tikhonov Regularization and Total Least Squares

Tikhonov regularization and total least squares
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1999 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Matrix Analysis and Applications, volume 21, pages 185-194 (issn: 0895-4798, eissn: 1095-7162, Copyright policy )
Authors: Gene H. Golub; Per Christian Hansen; Dianne P. O'Leary;

doi: 10.1137/s0895479897326432

Tikhonov Regularization and Total Least Squares

Abstract

The regularized total least squares (TLS) method of the TLS problem is introduced and its regularizing properties are studied. It is also proved that, in certain cases, the new method is superior to standard regularization methods.

Keywords

Numerical solutions to overdetermined systems, pseudoinverses, Ill-posedness and regularization problems in numerical linear algebra, Tikhonov regularization, bidiagonalization, total least squares, discrete ill-posed problems

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    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 710
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 0.1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 0.1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
710
Top 0.1%
Top 0.1%
Top 10%
bronze