Quantifying information content for ill-posed problems

DOI10.1088/0266-5611/6/5/004zbMath0712.65043OpenAlexW1998430389MaRDI QIDQ3197210

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0266-5611/6/5/004

zbMATH Keywords

numerical examplessingular value decompositionTikhonov regularizationregularization methodill-posed problemsbackward heat equationtruncation parametereffective rankdifferentiation of data

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical methods for ill-posed problems for integral equations (65R30) Numerical differentiation (65D25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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Sharp estimates for approximations to a nonlinear backward heat equation

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