Cubically convergent methods for selecting the regularization parameters in linear inverse problems
From MaRDI portal
Publication:1023031
DOI10.1016/j.jmaa.2009.03.024zbMath1167.65027OpenAlexW2036905605MaRDI QIDQ1023031
Publication date: 10 June 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.024
iterative methodMorozov's discrepancy principleTikhonov's regularizationlinear inverse problemscubic convergencechoice of regularization parameter
Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)
Related Items
Projected Tikhonov regularization method for Fredholm integral equations of the first kind, A relaxed iterated Tikhonov regularization for linear ill-posed inverse problems, A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a class of damped Morozov principles
- Inverse nodal and inverse spectral problems for discontinuous boundary value problems
- Attractors and symmetries of vector fields: the inverse problem
- Fast realization algorithms for determining regularization parameters in linear inverse problems
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- On the Choice of the Regularization Parameter in Nonlinear Inverse Problems
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Iterative choices of regularization parameters in linear inverse problems
- A family of Chebyshev-Halley type methods in Banach spaces
- One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
- A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
- An improved model function method for choosing regularization parameters in linear inverse problems
- Inverse Problems and Torricelli's Law
- An introduction to the mathematical theory of inverse problems
