A Global Algorithm for Geodesics

@inproceedings{Noakes1998AGA,
  title={A Global Algorithm for Geodesics},
  author={Lyle Noakes},
  year={1998}
}
The problem of finding a geodesic joining given points x0; x1 in a connected complete Riemannian manifold requires much more effort than determining a geodesic from initial data. Boundary value problems of this type are sometimes solved using shooting methods, which work best when good initial guesses are available, especially when x0; x1 are nearby. Galerkin methods have their drawbacks too. The situation is much more difficult with general variational problems, which is why we focus on the… CONTINUE READING
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