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Esther Bonacker, Aviv Gibali, Karl-Heinz Küfer, Nesterov perturbations and projection methods applied to IMRT

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DOI: 10.23952/jnva.4.2020.1.06
Volume 4, Issue 1, 1 April 2020, Pages 63-86

 

Abstract. In this paper, we use the simultaneous and cyclic subgradient projection methods with perturbations and apply them to linear and nonlinear optimization problems arising naturally in IMRT. The numerical results illustrate the mechanism of the perturbations and demonstrate that they lead to a significantly faster termination of the algorithm, especially when the problem is ill-conditioned.

 

How to Cite this Article:
Esther Bonacker, Aviv Gibali, Karl-Heinz Küfer, Nesterov perturbations and projection methods applied to IMRT, J. Nonlinear Var. Anal. 4 (2019), 63-86.