Hier finden Sie wissenschaftliche Publikationen aus den Fraunhofer-Instituten.

Nesterov perturbations and projection methods applied to IMRT

: Bonacker, Esther; Gibali, Aviv; Küfer, Karl-Heinz


Journal of nonlinear and variational analysis 4 (2020), No.1, pp.63-86
ISSN: 2560-6921 (Print)
ISSN: 2560-6778 (Online)
Journal Article
Fraunhofer ITWM ()

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.