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Recovering Edges in Ill-Posed Inverse Problems: Optimality of Curvelet Frames
Ill-Posed Inverse Problems Regularization
2015/8/21
We consider a model problem of recovering a function f(x1; x2) from noisy Radon
data. The function f to be recovered is assumed smooth apart from a discontinuity
along a C2 curve { i.e. an edge. We ...
Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities
Regularization of Linear Ill-posed Problems Augmented Lagrangian Method Variational Inequalities Numerical Analysis
2012/4/23
We study the application of the Augmented Lagrangian Method to the solution of linear ill-posed problems. Previously, linear convergence rates with respect to the Bregman distance have been derived un...
A New Regularized Solution to Ill-Posed Problem in Coordinate Transformation
Bursa Coordinate Transformation Ill-Posed Methodology
2013/3/7
Coordinates transformation is generally required in GPS applications. If the transformation parameters are solved with the known coordinates in a small area using the Bursa model, the precision of tra...
Numerical results of convergence rates in regularization for ill-posed mixed variational inequalities
Monotone operators hemi-continuous strictly convex Banach space
2010/9/10
In this note some numerical experiments to illustration for convergence rates of regularized solution for ill-posed inverse-strongly monotone mixed variational inequalities are presented.
A Restarted Conjugate Gradient Method for Ill-posed Problems
Ill-posed problems restarted CG damped discrepancy principle
2007/12/11
This paper presents a restarted conjugate gradient iterative algorithm for solving ill-posed problems. The damped Morozov's discrepancy principle is used as a stopping rule. Numerical experiments are ...