Some approaches to reconstruction of nonsmooth solutions of linear ill-posed problems

DOI10.1515/jiip.2007.035zbMath1128.65035OpenAlexW2060089899MaRDI QIDQ5432664

Vladimir V. Vasin

Publication date: 17 December 2007

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2007.035

zbMATH Keywords

subgradient methodTikhonov regularizationill-posed problemnon-smooth solutionnondifferentiable stabilizer

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)

Cites Work

• Estimation of discontinuous solutions of ill-posed problems via adaptive grid regularization
• Least squares and bounded variation regularization with nondifferentiable functionals
• Analysis of bounded variation penalty methods for ill-posed problems
• Regularization of linear least squares problems by total bounded variation