Frozen Landweber iteration for nonlinear ill-posed problems

DOI10.1007/s10255-007-0375-2zbMath1182.65085OpenAlexW2035965419MaRDI QIDQ1036883

J. Xu, Li Li, Bo Han

Publication date: 13 November 2009

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-007-0375-2

zbMATH Keywords

performanceconvergenceregularizationnumerical examplesnonlinear ill-posed problemsLandweber iterationnonlinear Hammerstein integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (2)

An implicit Landweber method for nonlinear ill-posed operator equations ⋮ TV‐like regularization for backward parabolic problems

Cites Work

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• Accelerated Landweber iterations for the solution of ill-posed equations
• A modified Landweber iteration for solving parameter estimation problems
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• On Landweber iteration for nonlinear ill-posed problems in Hilbert scales
• A modified landweber method for inverse problems

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