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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Vydáno v:	BIT (Nordisk Tidskrift for Informationsbehandling) Ročník 51; číslo 3; s. 669 - 694
Hlavní autoři:	Klann, E., Ramlau, R., Reichel, L.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Dordrecht Springer Netherlands 01.09.2011 Springer
Témata:	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
On-line přístup:	Získat plný text
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