6 papers · 1 filter
The best approximation tuple: an extension of the Cheney-Goldstein algorithm and results to the multiple sets case
Yair Censor, Daniel Reem
In this paper we extend the algorithm and several results published in the celebrated 1959 paper of Cheney and Goldstein about the best approximation pair (BAP) problem in two sepa…
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
We study the Superiorization Methodology (SM) in the context of the General Dynamic String-Averaging (GDSA) method in the inconsistent case (that is, where the input operators don'…
On the boundedness of infinite products of relaxed projections: perturbations resilience and dynamic string-averaging
Daniel Reem, Yair Censor
Very recently (2026), Bauschke and Tung extended from finite- to infinite-dimensional Hilbert spaces a result published by Meshulam in 1996 (following an earlier result of Aharoni-…
GPU-accelerated superiorization on constrained physical problems with SupPy
Tobias Becher, Yair Censor, Kay Barshad +1
The superiorization method (SM) is situated between feasibility-seeking and constrained optimization. Instead of aiming at the minimum of a given objective function over a constrai…
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…
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…