Direct analytic model of the L-curve for Tikhonov regularization parameter selection

DOI10.1088/0266-5611/19/3/311zbMath1027.65049OpenAlexW2048512542MaRDI QIDQ4407149

Paul J. McCarthy

Publication date: 22 September 2003

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

Full work available at URL: https://doi.org/10.1088/0266-5611/19/3/311

zbMATH Keywords

numerical experimentsMonte Carlo simulationsTikhonov regularizationill-posed problemsill-conditioned linear systemssingular valueL-curvelarge scale least squares problemsconjugate gradient iterates

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22)

Related Items (4)

A Bayesian interpretation of the L-curve ⋮ Sparse Bayesian learning for the Laplace transform inversion in dynamic light scattering ⋮ The inverse medium problem in heterogeneous PML-truncated domains using scalar probing waves ⋮ The inverse medium problem in 1D PML-truncated heterogeneous semi-infinite domains

Uses Software

• Regularization tools

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