On the clustering of stationary points of Tikhonov's functional for conditionally well-posed inverse problems

DOI10.1515/jiip-2020-0064zbMath1465.65046OpenAlexW3086209989MaRDI QIDQ2660780

Yanyan Li

Publication date: 31 March 2021

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-2020-0064

zbMATH Keywords

inverse problemfinite-dimensional approximationglobal minimizationconditionally well-posed problemaccuracy estimatequasi-solution methodTikhonov's schemeclustering effect

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 (1)

An asymptotical regularization with convex constraints for inverse problems

Uses Software

• TIGRA

Cites Work

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• TIGRA an iterative algorithm for regularizing nonlinear ill-posed problems
• Conditionally well-posed and generalized well-posed problems
• Inverse problems for partial differential equations

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