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

  • Authors:
  • Jean-Pierre Dedieu;Dmitry Nowicki

  • Affiliations:
  • MIP. Département de Mathématique, Université Paul Sabatier, 31062 Toulouse Cedex 04, France;MIP. Département de Mathématique, Université Paul Sabatier, 31062 Toulouse Cedex 04, France

  • Venue:
  • Journal of Complexity - Festschrift for the 70th birthday of Arnold Schönhage
  • Year:
  • 2005

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Abstract

We use a Hamiltonian approach and symplectic methods to compute the geodesics on a Riemannian submanifold.