Two-parameter discrepancy principle for combined projection and Tikhonov regularization of ill-posed problems

DOI10.1515/jip-2012-0089zbMath1276.65030OpenAlexW2320443030MaRDI QIDQ2848407

Teresa Regińska

Publication date: 26 September 2013

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jip-2012-0089

zbMATH Keywords

singular value decompositionTikhonov regularizationdiscrepancy principleorder of convergencelinear ill-posed problemtwo-parameter regularizationleast squares projection methodleast squares projection methodsorder optimal error bound

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 (7)

A new framework for multi-parameter regularization ⋮ Regularization method for an ill-posed Cauchy problem for elliptic equations ⋮ On Tikhonov's method and optimal error bound for inverse source problem for a time-fractional diffusion equation ⋮ Jacobi spectral projection methods for Fredholm integral equations of the first kind ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ DISCREPANCY SETS FOR COMBINED LEAST SQUARES PROJECTION AND TIKHONOV REGULARIZATION ⋮ A new heuristic parameter choice rule in Tikhonov regularization applied for Ritz approximation of an ill-posed problem

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