A steepest descent algorithm for the global minimization of the Tikhonov functional

DOI10.1088/0266-5611/18/2/306zbMath1005.65057OpenAlexW1991255690MaRDI QIDQ4531339

Ronny Ramlau

Publication date: 4 February 2003

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/18/2/306

zbMATH Keywords

convergencenumerical examplesmedical imagingHilbert spacesTikhonov regularizationnonlinear ill-posed problemssteepest descent methodattenuated Radon transforma priori parameter choice strategies

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for ill-posed problems for integral equations (65R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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