Linear estimates of accuracy for approximate solutions of inverse problems

DOI10.1080/00036811.2014.910887zbMath1310.47080OpenAlexW1975283714WikidataQ58305032 ScholiaQ58305032MaRDI QIDQ5249954

Alexander S. Leonov

Publication date: 13 May 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.910887

zbMATH Keywords

inverse problemslinear error estimatewell-posedness according to Tikhonov

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (1)

Accuracy estimates of Gauss-Newton-type iterative regularization methods for nonlinear equations with operators having normally solvable derivative at the solution

Cites Work

• Can an a priori error estimate for an approximate solution of an ill-posed problem be comparable with the error in data?
• Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
• Regularization in Hilbert scales under general smoothing conditions
• A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation
• Optimality for ill-posed problems under general source conditions

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