Wavelet-based multilevel methods for linear ill-posed problems

The representation of linear operator equations in terms of wavelet bases yields a multilevel framework, which can be exploited for iterative solution. This paper describes cascadic multilevel methods that employ conjugate gradient-type methods on each level. The iterations are on each level termina...

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Bibliographic Details
Published in:	BIT (Nordisk Tidskrift for Informationsbehandling) Vol. 51; no. 3; pp. 669 - 694
Main Authors:	Klann, E., Ramlau, R., Reichel, L.
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.09.2011 Springer
Subjects:	Computational Mathematics and Numerical Analysis Exact sciences and technology Fourier analysis Mathematical analysis Mathematics Mathematics and Statistics Numeric Computing Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical linear algebra Sciences and techniques of general use Wavelet 65R32 65R30 Multilevel method Ill-posed problem Minimal residual method 65T60 65N55 Conjugate gradient method Operator equation Numerical linear algebra Iterative method Iteration Linear operator Regularization method Wavelets Numerical analysis Wavelet transformation Ill posed problem
ISSN:	0006-3835, 1572-9125
Online Access:	Get full text
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