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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Format: | Doctoral Thesis |
Language: | English |
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2008
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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 |