616 citations
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math.OC2016★ 9 cited
Linear Superiorization for Infeasible Linear Programming
Yair Censor, Yehuda Zur
Linear superiorization (abbreviated: LinSup) considers linear programming (LP) problems wherein the constraints as well as the objective function are linear. It allows to steer the…
math.OC2010★ 616 cited
Algorithms for the Split Variational Inequality Problem
Yair Censor, Aviv Gibali, Simeon Reich
We propose a prototypical Split Inverse Problem (SIP) and a new variational problem, called the Split Variational Inequality Problem (SVIP), which is a SIP. It entails finding a so…
math.OC2010★ 158 cited
Perturbation Resilience and Superiorization of Iterative Algorithms
Y. Censor, R. Davidi, G. T. Herman
Iterative algorithms aimed at solving some problems are discussed. For certain problems, such as finding a common point in the intersection of a finite number of convex sets, there…