Fast and exact Hessian computation for a class of nonlinear functions used in radiation therapy treatment planning
Abstract
In nonlinear optimisation, using exact Hessian computations (full-Newton) hold superior convergence properties over quasi-Newton methods or gradient-based methods. However, for medium-scale problems, computing the Hessian can be computationally expensive and thus time-consuming. For solvers dedicated to a specific problem type, it can be advantageous to hard-code optimised implementations to keep the computation time to a minimum.
- Publication:
-
Physics in Medicine and Biology
- Pub Date:
- August 2019
- DOI:
- 10.1088/1361-6560/ab1e17
- Bibcode:
- 2019PMB....64pNT01V
- Keywords:
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- point evaluation gradient and Hessian;
- full-Newton methods;
- radiation therapy treatment planning;
- medium-scale nonlinear optimization