Source conditions and accuracy estimates in Tikhonov's scheme of solving ill-posed nonconvex optimization problems

DOI10.1515/JIIP-2017-0004zbMath1398.65115OpenAlexW2596252149MaRDI QIDQ1654216

Y. Aharonov

Publication date: 7 August 2018

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2017-0004

zbMATH Keywords

Hilbert spacesource conditionaccuracy estimateconvex closed setTikhonov's schemeill-posed optimization problema priori and a posteriori parameter choice rule

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (2)

Improved accuracy estimation of the Tikhonov method for ill-posed optimization problems in Hilbert space ⋮ Methods for solving ill-posed extremum problems with optimal and extra-optimal properties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The global search in the Tikhonov scheme
• Estimates for the accuracy of the regularization of nonlinear unstable problems
• Stable approximation schemes for ill-posed convex variational problems
• Sourcewise representability conditions and power estimates of convergence rate in Tikhonov's scheme for solving ill-posed extremal problems
• Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations

This page was built for publication: Source conditions and accuracy estimates in Tikhonov's scheme of solving ill-posed nonconvex optimization problems