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Symplectic methods for the approximation of the exponential map and the Newton iteration on Riemannian submanifolds

Article ID Journal Published Year Pages File Type
9501276 Journal of Complexity 2005 15 Pages PDF
Abstract
We use a Hamiltonian approach and symplectic methods to compute the geodesics on a Riemannian submanifold.
Keywords
SymplecticNewton iterationGeodesicSubmanifoldExponential mapHamiltonian
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Symplectic methods for the approximation of the exponential map and the Newton iteration on Riemannian submanifolds
Authors
Jean-Pierre Dedieu, Dmitry Nowicki,
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Journal
Journal of Complexity
Journal: Journal of Complexity
Related Categories
Symplectic
Newton iteration
Geodesic
Submanifold
Exponential map
Hamiltonian
Algebra and Number Theory
Analysis
Applied Mathematics
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