Global convergence of damped semismooth Newton methods for ℓ 1 Tikhonov regularization

DOI10.1088/0266-5611/31/2/025005zbMath1321.65084OpenAlexW2334049909MaRDI QIDQ5178112

Esther Hans, Thorsten Raasch

Publication date: 13 March 2015

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/31/2/025005

zbMATH Keywords

Hilbert spaceTikhonov regularizationnumerical experimentill-posed problemdirectional derivativesparsitysemismooth Newton methodgeneralized derivativeArmijo-type ruleB-semismooth Newton methodNewton differentiable

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) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (4)

A semi-smooth Newton method for inverse problem with uniform noise ⋮ A family of second-order methods for convex \(\ell _1\)-regularized optimization ⋮ A dual based semismooth Newton-type algorithm for solving large-scale sparse Tikhonov regularization problems ⋮ Smoothing Newton method for \(\ell^0\)-\(\ell^2\) regularized linear inverse problem

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