Barrier methods for a control problem from hyperthermia treatment planning
- We consider an optimal control problem from hyperthermia treatment planning and its barrier regularization. We derive basic results, which lay the groundwork for the computation of optimal solutions via an interior point path-following method. Further, we report on a numerical implementation of such a method and its performance at an example problem.
Author: | Anton Schiela, Martin WeiserORCiD |
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Editor: | M. Diehl, F. Glineur, E. Jarlebring, W. Michiels |
Document Type: | In Collection |
Parent Title (English): | Recent Advances in Optimization and its Applications in Engineering (Proceedings of 14th Belgian-French-German Conference on Optimization 2009) |
First Page: | 419 |
Last Page: | 428 |
Publisher: | Springer |
Year of first publication: | 2010 |
Preprint: | urn:nbn:de:0297-zib-11567 |