4 papers · 1 filter
Nonlinear three-operator splitting algorithms with momentum for monotone inclusions
Liqian Qin, Aviv Gibali, Cuijie Zhang +1
In this paper, we introduce three novel splitting algorithms for solving structured monotone inclusion problems involving the sum of a maximally monotone operator, a monotone and L…
Plug-and-play superiorization
Jon Henshaw, Aviv Gibali, Thomas Humphries
The superiorization methodology (SM) is an optimization heuristic in which an iterative algorithm, which aims to solve a particular problem, is ``superiorized'' to promote solution…
Approaches to iterative algorithms for solving nonlinear equations with an application in tomographic absorption spectroscopy
F. J. Aragón-Artacho, W. Cai, Y. Censor +3
In this paper we propose an approach for solving systems of nonlinear equations without computing function derivatives. Motivated by the application area of tomographic absorption…
The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning
Francisco J. Aragón-Artacho, Yair Censor, Aviv Gibali +1
In this paper we study the split minimization problem that consists of two constrained minimization problems in two separate spaces that are connected via a linear operator that ma…