Modulus of continuity for conditionally stable ill-posed problems in Hilbert space
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Publication:3537416
DOI10.1515/JIIP.2008.030zbMath1156.47013OpenAlexW1966190090MaRDI QIDQ3537416
Peter Mathé, Bernd Hofmann, Matthias Schieck
Publication date: 6 November 2008
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.2008.030
Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)
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Cites Work
- Uncertainty in the solution of linear operator equations
- Direct and inverse results in variable Hilbert scales
- Optimal algorithms for linear ill-posed problems yield regularization methods
- Analysis of Profile Functions for General Linear Regularization Methods
- Impact of conditional stability: Convergence rates for general linear regularization methods
- An Optimal Order Regularization Method which Does Not Use Additional Smoothness Assumptions
- Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data
- Optimality for ill-posed problems under general source conditions
- Variable hilbert scales and their interpolation inequalities with applications to tikhonov regularization
- Isochronous dynamical systems
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