Title data
Ortiz, Julián ; Schiela, Anton:
A composite step method for equality constrained optimization on manifolds.
Bayreuth
,
2019
. - 27 S.
Project information
Project title: |
Project's official title Project's id Optimierung auf Mannigfaltigkeiten für die numerische Lösung von gleichungsbeschränkten Variationsproblemen SCHI 1379/3-1 |
---|---|
Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract
We present a composite step method, designed for equality constrained optimization on differentiable manifolds. The use of retractions allows us to pullback the involved mappings to linear spaces and use tools such as cubic regularization of the objective function and affine covariant damped Newton method for feasibility. We show fast local convergence when different chart retractions are considered. We test our method on equilibrium problems in finite elasticity where the stable equilibrium position of an inextensible transversely isotropic elastic rod under dead load is searched.
Further data
Item Type: | Preprint, postprint |
---|---|
Keywords: | composite step methods; retractions; optimization on manifolds |
Subject classification: | 49M37; 90C55; 90C06 |
DDC Subjects: | 500 Science > 510 Mathematics |
Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics > Chair Applied Mathematics - Univ.-Prof. Dr. Anton Schiela Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Profile Fields Profile Fields > Advanced Fields |
Language: | English |
Originates at UBT: | Yes |
URN: | urn:nbn:de:bvb:703-epub-4258-4 |
Date Deposited: | 04 Mar 2019 09:38 |
Last Modified: | 18 Dec 2020 10:41 |
URI: | https://epub.uni-bayreuth.de/id/eprint/4258 |