The Effective Choice of the Smoothing Norm in Regularization

DOI10.2307/2006033zbMath0406.65055OpenAlexW4242408399MaRDI QIDQ4192924

Jane K. Cullum

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006033

zbMATH Keywords

Rate of ConvergenceNumerical SolutionConvolution EquationFredholm Integral EquationOrder of the Smoothing NormRegularization Procedure

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical computation of matrix norms, conditioning, scaling (65F35) Theoretical approximation of solutions to integral equations (45L05) Linear integral equations (45A05)

Related Items (5)

Finite element approximation of regularized solutions of the inverse potential problem of electrocardiography and applications to experimental data ⋮ Direct Implementation of Tikhonov Regularization for the First Kind Integral Equation ⋮ Estimation of the Regularization Parameter in Linear Discrete Ill-Posed Problems Using the Picard Parameter ⋮ Computational experience with the spectral smoothing method for differentiating noisy data ⋮ Improved estimates of statistical regularization parameters in Fourier differentiation and smoothing

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical differentiation procedures for non-exact data
• On Tikhonov's Method for Ill-Posed Problems
• On the Equivalence of Regularization and Certain Reproducing Kernel Hilbert Space Approaches for Solving First Kind Problems
• Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
• The effect of regularization of order p
• Numerical Differentiation and Regularization
• Some estimates of the rate of convergence of regularized approximations for equations of the convolution type

This page was built for publication: The Effective Choice of the Smoothing Norm in Regularization