Optimization Techniques on Riemannian Manifolds

Understand

The techniques and analysis presented in this paper provide new methods to solve optimization problems posed on Riemannian manifolds.

• A new point of view is offered for the solution of constrained optimization problems.
• Some classical optimization techniques on Euclidean space are generalized to Riemannian manifolds.
• Several algorithms are presented and their convergence properties are analyzed employing the Riemannian structure of the manifold.