Newton's Method for Path-Following Problems on Manifolds

Many optimization problems for a smooth cost function f on a manifold M can be solved by determining the zeros of a vector field F; such as e.g. the gradient F of the cost function f. If F does not depend on additional parameters, numerous zero-finding techniques are available for this purpose. It i...

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Bibliographic Details
Main Author: Baumann, Markus
Format: Doctoral Thesis
Language:English
Published: 2008
Subjects:
Online Access:https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/2415
http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-28099
https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-28099
https://opus.bibliothek.uni-wuerzburg.de/files/2415/NewtonFlow_final.pdf