## LSMM

 swMATH ID: 7010 Software Authors: Chouzenoux, E.; Moussaoui, S.; Idier, J. Description: Majorize-minimize linesearch for inversion methods involving barrier function optimization The authors consider the frequent situation where the dependence of the observations $$yinbfR^M$$ on the unknown discretized object $$x^0inbfR^N$$ is represented by a linear model $$y= Kx^0+varepsilon$$ with $$K$$ being a known ill-conditioned matrix and $$varepsilon$$ an additive noise term representing measurement errors and model uncertainties. To handle the ill-posedness 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.projet-plume.org/en/relier/lsmm Keywords: majorize-minimize linesearch; inversion methods; ill-conditioned matrix; model uncertainties; numerical examples; signal and image processing Related Software: ElemStatLearn; UNLocBoX; SQPlab; PLCP; tn Referenced in: 2 Publications

### Referenced by 5 Authors

 2 Chouzenoux, Emilie 1 Corbineau, Marie-Caroline 1 Idier, Jérôme 1 Moussaoui, Saïd 1 Pesquet, Jean-Christophe

### Referenced in 2 Serials

 1 Inverse Problems 1 Journal of Mathematical Imaging and Vision

### Referenced in 4 Fields

 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)