Wavelet-based multilevel methods for linear ill-posed problems

DOI10.1007/s10543-011-0320-xzbMath1232.65190OpenAlexW1971704202MaRDI QIDQ639969

Ronny Ramlau, Lothar Reichel, Esther Klann

Publication date: 11 October 2011

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-011-0320-x

zbMATH Keywords

algorithmnumerical experimentserror estimationwaveletdiscrepancy principleill-posed problemlinear operator equationtomographyminimal residual methodconjugate gradientFredholm integral equations of the first kindcascadic multilevel methodregularization by discretization

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

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A hybrid multilevel-active set method for large box-constrained linear discrete ill-posed problems ⋮ On the existence of approximate solution of Fredholm integral equation of the first kind by band-limited scaling function ⋮ Flexible Krylov Methods for $\ell_p$ Regularization

Uses Software

• Regularization tools

Cites Work

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