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math.OC2026

A new theorem of alternatives leading to sufficient conditions for the superiorization guarantee question of Dynamic String-Averaging in the inconsistent case

Kay Barshad, Yair Censor

The paper introduces a new theorem of alternatives for the Superiorization Methodology applied to General Dynamic String-Averaging in inconsistent feasibility problems, providing s…

math.OC2026

On the boundedness of infinite products of relaxed projections: perturbations resilience and dynamic string-averaging

Daniel Reem, Yair Censor

The paper extends results on the boundedness of infinite products of relaxed projections in Hilbert spaces by allowing perturbations, mixing half-spaces and hyperplanes, and using…

math.OC2026

Immunity to Increasing Condition Numbers of Linear Superiorization versus Linear Programming

Jan Schröder, Yair Censor, Philipp Süss +1

Given a family of linear constraints and a linear objective function one can consider whether to apply a Linear Programming (LP) algorithm or use a Linear Superiorization (LinSup)…

math.OC2026

Superiorization and Perturbation Resilience of Algorithms: A Continuously Updated Bibliography

Yair Censor

This document presents a (mostly) chronologically-ordered bibliography of scientific publications on the superiorization methodology and perturbation resilience of algorithms which…

math.OC2026

Strong convergence, perturbation resilience and superiorization of Generalized Modular String-Averaging with infinitely many input operators

Kay Barshad, Yair Censor

We study the strong convergence and bounded perturbation resilience of iterative algorithms based on the Generalized Modular String-Averaging (GMSA) procedure for infinite sequence…

math.OC2026

Multi-Criteria Inverse Robustness in Radiotherapy Planning Using Semidefinite Programming

Jan Schröeder, Yair Censor, Philipp Süss +1

Radiotherapy planning naturally leads to a multi-criteria optimization problem which is subject to different sources of uncertainty. In order to find the desired treatment plan, a…