A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice

DOI10.1007/BF02247939zbMath0629.65138OpenAlexW140355911MaRDI QIDQ1094123

Andreas Neubauer, J. Thomas King

Publication date: 1988

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02247939

zbMATH Keywords

numerical examplesTikhonov regularizationoptimal convergence rateslinear splinesa-posteriori parameter choice methodsill-posd operator equationsparameter selection method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items

Projected Tikhonov regularization method for Fredholm integral equations of the first kind ⋮ The Galerkin scheme for Lavrentiev's \(m\)-times iterated method to solve linear accretive Volterra integral equations of the first kind ⋮ On the regularization of projection methods for solving ill-posed problems ⋮ Regularization of ill-posed problems: Optimal parameter choice in finite dimensions ⋮ A class of parameter choice strategies for the finite dimensional weighted Tikhonov regularization scheme ⋮ An a posteriori parameter choice for Tikhonov regularization in the presence of modeling error ⋮ A factorization of least-squares projection schemes for ill-posed problems ⋮ Multilevel algorithms for ill-posed problems ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ On the construction of preconditioners by subspace decomposition ⋮ Tikhonov regularization of nonlinear III-posed problems in hilbert scales

Uses Software

• EISPACK

Cites Work

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• Numerical realization of an optimal discrepancy principle for Tikhonov- regularization in Hilbert scales
• An Algorithm for the Regularization of Ill-Conditioned, Banded Least Squares Problems
• An Improved Version of Marti's Method for Solving Ill-Posed Linear Integral Equations
• Combined function specification-regularization procedure for solution of inverse heat conduction problem
• An a posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates
• An a Posteriori Parameter Choice for Tikhonov Regularization in Hilbert Scales Leading to Optimal Convergence Rates
• Algorithms for the regularization of ill-conditioned least squares problems