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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 \(yinbfR^M\) on the unknown discretized object \(x^0inbfR^N\) is represented by a linear model \(y= Kx^0+varepsilon\) with \(K\) being a known 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

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