Conjugate gradient regularization under general smoothness and noise assumptions

DOI10.1515/jiip.2010.033zbMath1279.65068OpenAlexW2124405399MaRDI QIDQ2874469

Peter Mathé, Gilles Blanchard

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2010.033

zbMATH Keywords

general smoothnessconjugate gradient type regularization

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items

Enhancing linear regularization to treat large noise

Cites Work

• Relative self-adjoint operators in Hilbert space
• Optimal algorithms for linear ill-posed problems yield regularization methods
• Modulus of continuity for conditionally stable ill-posed problems in Hilbert space
• Regularization in Hilbert space under unbounded operators and general source conditions
• Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data
• Error Estimates for Regularization Methods in Hilbert Scales
• How general are general source conditions?