Optimal rates for Lavrentiev regularization with adjoint source conditions

DOI10.1090/MCOM/3237zbMath1380.65096OpenAlexW2530225793MaRDI QIDQ4600708

Bernd Hofmann, Peter Mathé, Robert Plato

Publication date: 12 January 2018

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3237

zbMATH Keywords

convergenceHilbert spaceill-posed operator equationaccretive operatorsLavrentiev regularizationpositive semidefinite selfadjoint operators

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (6)

Lavrentiev's regularization method in Hilbert spaces revisited ⋮ A Convergence Analysis of the Iterated Lavrentiev Regularization Method under a Lipschitz Condition ⋮ Converse Results, Saturation and Quasi-optimality for Lavrentiev Regularization of Accretive Problems ⋮ Case Studies and a Pitfall for Nonlinear Variational Regularization Under Conditional Stability ⋮ A Regularization Approach for an Inverse Source Problem in Elliptic Systems from Single Cauchy Data ⋮ A regularized variational inequality approach for nonlinear monotone ill-posed equations

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