The regularizing effect of the Golub-Kahan iterative bidiagonalization and revealing the noise level in the data

Regularization techniques based on the Golub-Kahan iterative bidiagonalization belong among popular approaches for solving large ill-posed problems. First, the original problem is projected onto a lower dimensional subspace using the bidiagonalization algorithm, which by itself represents a form of...

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Bibliographic Details
Published in:	BIT (Nordisk Tidskrift for Informationsbehandling) Vol. 49; no. 4; pp. 669 - 696
Main Authors:	HNETYNKOVA, Iveta, PLESINGER, Martin, STRAKOS, Zdenek
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.12.2009 Springer
Subjects:	Computational Mathematics and Numerical Analysis Exact sciences and technology Mathematics Mathematics and Statistics Numeric Computing Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Sciences and techniques of general use Ill-posed problems 65F10 Noise revealing 15A23 65F22 Lanczos tridiagonalization 15A06 Golub-Kahan iterative bidiagonalization 15A18 Numerical linear algebra Iterative method Algorithm Regularization method Numerical analysis ISA06 III-posed problems Ill posed problem Regularization
ISSN:	0006-3835, 1572-9125
Online Access:	Get full text
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