swMATH ID: 
7010

Software Authors: 
Chouzenoux, E.; Moussaoui, S.; Idier, J.

Description: 
Majorizeminimize linesearch for inversion methods involving barrier function optimization
The authors consider the frequent situation where the dependence of the observations \(yinbfR^M\) on the unknown discretized object \(x^0inbfR^N\) is represented by a linear model \(y= Kx^0+varepsilon\) with \(K\) being a known illconditioned matrix and \(varepsilon\) an additive noise term representing measurement errors and model uncertainties. To handle the illposedness of such problems, several efficient inversion methods are based on the minimization of a composite criterion \(F(x)= S(x)+lambda R(x)\).par The efficiency of the proposed approach is illustrated through numerical examples in the field of signal and image processing. 
Homepage: 
https://www.projetplume.org/en/relier/lsmm

Keywords: 
majorizeminimize linesearch;
inversion methods;
illconditioned matrix;
model uncertainties;
numerical examples;
signal and image processing

Related Software: 
ElemStatLearn;
UNLocBoX;
SQPlab;
PLCP;
tn

Referenced in: 
2 Publications
