A new variant of L-curve for Tikhonov regularization
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Publication:2271977
DOI10.1016/j.cam.2009.05.016zbMath1169.65036OpenAlexW2069968238MaRDI QIDQ2271977
Mansoor Rezghi, Mohammed Hosseini Ali Abadi
Publication date: 5 August 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.05.016
Related Items (6)
Scattered data fitting by minimal surface ⋮ A predictor-corrector iterated Tikhonov regularization for linear ill-posed inverse problems ⋮ Application of fractional derivatives for obtaining new Tikhonov regularization matrices ⋮ An improved iteration regularization method and application to reconstruction of dynamic loads on a plate ⋮ Extension of Tikhonov regularization method using linear fractional programming ⋮ Approximate Schur-block ILU preconditioners for regularized solution of discrete ill-posed problems
Uses Software
Cites Work
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- Limitations of the \(L\)-curve method in ill-posed problems
- Estimation of the \(L\)-curve via Lanczos bidiagonalization
- Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
- Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
- Least Squares Methods for Ill-Posed Problems with a Prescribed Bound
- Inverse Problems and Torricelli's Law
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