Morozov’s Principle for the Augmented Lagrangian Method Applied to Linear Inverse Problems

DOI10.1137/100812835zbMath1252.65103arXiv1010.5181OpenAlexW3098416719MaRDI QIDQ2903610

Klaus Frick, Dirk A. Lorenz, Elena Resmerita

Publication date: 11 August 2012

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5181

zbMATH Keywords

Hilbert spaceiterative methoddiscrepancy principlestopping rulelinear constraintsconvex minimization problemslinear inverse problemsill-posed optimization problemaugmented Lagragian method

Mathematics Subject Classification ID

Convex programming (90C25) Numerical optimization and variational techniques (65K10) Programming in abstract spaces (90C48) Existence theories for problems in abstract spaces (49J27) Numerical solution to inverse problems in abstract spaces (65J22)

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