Convergence rate estimates for Tikhonov's scheme as applied to ill-posed nonconvex optimization problems

DOI10.1134/S0965542517070090zbMath1379.49012OpenAlexW2740730928MaRDI QIDQ1683029

Peng Zhang

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517070090

zbMATH Keywords

convergence ratesource conditionconvex closed setTikhonov's schemeill-posed optimization problem in a Hilbert space

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (3)

Solution of ill-posed nonconvex optimization problems with accuracy proportional to the error in input data ⋮ Improved accuracy estimation of the Tikhonov method for ill-posed optimization problems in Hilbert space ⋮ Accuracy estimates of regularization methods and conditional well-posedness of nonlinear optimization problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reduction of variational inequalities with irregular operators on a ball to regular operator equations
• Estimates for the accuracy of the regularization of nonlinear unstable 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
• Differentiability of the Metric Projection in Hilbert Space

This page was built for publication: Convergence rate estimates for Tikhonov's scheme as applied to ill-posed nonconvex optimization problems