Conditional stability stopping rule for gradient methods applied to inverse and ill-posed problems

DOI10.1515/156939406779768337zbMath1115.65061OpenAlexW2076425209MaRDI QIDQ3431199

Sergey I. Kabanikhin

Publication date: 5 April 2007

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

Full work available at URL: https://doi.org/10.1515/156939406779768337

zbMATH Keywords

convergenceinverse problemregularizationconditional stabilitygradient methodsill-posed problems

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) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (5)

Impact of conditional stability: Convergence rates for general linear regularization methods ⋮ Determination of the unknown source term in a linear parabolic problem from the measured data at the final time. ⋮ Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation ⋮ Pioneering papers by M. M. Lavrentiev ⋮ Convergence analysis of gradient descend methods generated by two different functionals in a backward heat conduction problem

Cites Work

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• Regularization in Hilbert scales under general smoothing conditions
• Convergence rates for Tikhonov regularization from different kinds of smoothness conditions

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