Multi-parameter Arnoldi-Tikhonov methods

zbMath1288.65084MaRDI QIDQ2450063

Paolo Novati, Silvia Gazzola

Publication date: 14 May 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol40/abstract_vol40_pp452-475.html

zbMATH Keywords

algorithmnumerical experimentdiscrepancy principlelinear ill-posed problemArnoldi-Tikhonov methodmulti-parameter regularization

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (10)

A new framework for multi-parameter regularization ⋮ Learning regularization parameters for general-form Tikhonov ⋮ Learning spectral windowing parameters for regularization using unbiased predictive risk and generalized cross validation techniques for multiple data sets ⋮ A computational framework for edge-preserving regularization in dynamic inverse problems ⋮ Some numerical aspects of Arnoldi-Tikhonov regularization ⋮ A Golub-Kahan-type reduction method for matrix pairs ⋮ Tikhonov regularization via flexible Arnoldi reduction ⋮ Some results on the regularization of LSQR for large-scale discrete ill-posed problems ⋮ Hybrid projection methods for large-scale inverse problems with mixed Gaussian priors ⋮ Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization

Uses Software

• Regularization tools

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