On the connection between the generalized discrepancy method and the generalized discrepancy principle for non-linear ill-posed problems

DOI10.1016/0041-5553(82)90003-9zbMath0547.65050OpenAlexW2034811917MaRDI QIDQ3339193

Alexander S. Leonov

Publication date: 1982

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(82)90003-9

zbMATH Keywords

nonlinear ill-posed problemnormal solutionregularization parameterresidual principleTikhonov's regularization method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

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Accuracy-order optimality of the generalized discrepancy principle and some algorithms for solving nonlinear ill-posed problems with approximate data

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