superiorization methodology – Optimization Online

Superiorization and Perturbation Resilience of Algorithms: A Continuously Updated Bibliography

Published: 2025/04/15, Updated: 2025/04/18

Applications - Science and Engineering, Constrained Nonlinear Optimization constrained optimization, feasibility problem, perturbation resilience, superiorization methodology

This document presents a (mostly) chronologically-ordered bibliography of scientific publications on the superiorization methodology and perturbation resilience of algorithms which is compiled and continuously updated by us at: http://math.haifa.ac.il/yair/bib-superiorization-censor.html. Since the beginnings of this topic we try to trace the work that has been published about it since its inception. To the best of our … Read more

Strict Fejér Monotonicity by Superiorization of Feasibility-Seeking Projection Methods

Published: 2014/05/28

Yair Censor

Alexander J. Zaslavski

Constrained Nonlinear Optimization, Parallel Algorithms bounded perturbation resilience, constrained minimization, convex feasibility problem, dynamic string-averaging projections, strict Fejér monotonicity, subgradients, superiorization methodology, superiorized version of an algorithm

We consider the superiorization methodology, which can be thought of as lying between feasibility-seeking and constrained minimization. It is not quite trying to solve the full fledged constrained minimization problem; rather, the task is to find a feasible point which is superior (with respect to the objective function value) to one returned by a feasibility-seeking … Read more