Nov 2, 2003 · We present an iterative technique for finding zeroes of vector fields on Riemannian manifolds. As a special case we obtain a nonlinear averaging algorithm.

We present an iterative technique for finding zeroes of vector fields on Riemannian manifolds. As a special case we obtain a “nonlinear averaging algorithm”

Abstract. We present an iterative technique for finding zeroes of vector fields on Rie- mannian manifolds. As a special case we obtain a “nonlinear ...

This work investigates the convergence of constant step-size gradient descent algorithms for solving the problem of finding the global Riemannian center of ...

This document summarizes a paper that presents an iterative technique for finding zeroes of vector fields on Riemannian manifolds. Specifically: 1) The ...

We present an iterative technique for finding zeroes of vector fields on Riemannian manifolds. As a special case we obtain a “nonlinear averaging algorithm” ...

Newton's method for approximating zeros of vector fields on Riemannian manifolds and spring. 机译：牛顿法在黎曼流形上逼近矢量场的零点.

Bibliographic details on Newton's method, zeroes of vector fields, and the Riemannian center of mass.

David Groisser, Newton's method, zeroes of vector fields, and the Riemannian center of mass, Adv. in Appl. Math. 33 (2004), no. 1, 95–135. MR 2064359, DOI ...

In this paper, we generalize this study considering some Newton-type iterative methods. A characterization of the convergence under Kantorovich type conditions ...