Linear inverse problems with discrete data: II. Stability and regularisation
From MaRDI portal
Publication:3799569
DOI10.1088/0266-5611/4/3/004zbMath0653.65042OpenAlexW2144912744MaRDI QIDQ3799569
E. R. Pike, Christine De Mol, Mario Bertero
Publication date: 1988
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/4/3/004
regularizationHilbert spacenumerical stabilitydiscrete datalinear inverse problemleast square solution
Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)
Related Items
In memoriam Mario Bertero ⋮ Regularization methods for the solution of inverse problems in solar X-ray and imaging spectroscopy ⋮ Cardiac magnetic resonance imaging by retrospective gating: mathematical modelling and reconstruction algorithms ⋮ Operator-theoretic and regularization approaches to ill-posed problems ⋮ The use of the linear sampling method for obtaining super-resolution effects in Born approximation ⋮ Semi-discrete Tikhonov regularization in RKHS with large randomly distributed noise ⋮ Particle filters for magnetoencephalography ⋮ Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization ⋮ DISCRETIZATION ERROR ANALYSIS FOR TIKHONOV REGULARIZATION ⋮ LINPRO: linear inverse problem library for data contaminated by statistical noise ⋮ Moment information for probability distributions, without solving the moment problem. II: Main-mass, tails and shape approximation ⋮ Analytical and regularized solutions of the synchrotron integral equation ⋮ Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
