First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints
Peer reviewed, Journal article
Published version

View/ Open
Date
2022Metadata
Show full item recordCollections
- Institutt for matematiske fag [2602]
- Publikasjoner fra CRIStin - NTNU [39845]
Original version
Journal of Optimization Theory and Applications. 2022, 195 (2), 596-623. 10.1007/s10957-022-02107-xAbstract
We consider optimization problems with manifold-valued constraints. These generalize classical equality and inequality constraints to a setting in which both the domain and the codomain of the constraint mapping are smooth manifolds. We model the feasible set as the preimage of a submanifold with corners of the codomain. The latter is a subset which corresponds to a convex cone locally in suitable charts. We study first- and second-order optimality conditions for this class of problems. We also show the invariance of the relevant quantities with respect to local representations of the problem.