Regularizing algorithms with optimal and extra-optimal quality

DOI10.1134/S1995423916040030zbMath1374.65097OpenAlexW2560174352MaRDI QIDQ2963863

Alexander S. Leonov

Publication date: 21 February 2017

Published in: Numerical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995423916040030

zbMATH Keywords

algorithminverse problemsnumerical experimentsnonlinearlinearill-posed problemregularizing algorithmquality of approximate solutiona posteriori quality estimateregularizing algorithm with extra-optimal quality

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with linear operators (65J10) Numerical solutions to equations with nonlinear operators (65J15) 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 (2)

Extra-optimal methods for solving ill-posed problems: survey of theory and examples ⋮ Methods for solving ill-posed extremum problems with optimal and extra-optimal properties

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