A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds

The material studied in this paper is based on Riemannian geometry as well as variational analysis, where metric regularity property is a key point.. Keywords:

Moreover, when it becomes possible to make explicit the Haar measure as in the case m = n, we observe that it adds extra Jacobi fields as min(m, n+ 1−m) increases and that the

boundary then a convergence theorem holds for Riemannian manifolds with.. boundary whose principal curvatures are

This result is optimal in terms of Hôlder conditions, i.e. At least it is quite obvious that we cannot expect more than C1,l in general, as the following example

We determined the convergence order and the radius of the method (3) as well as proved the uniqueness ball of the solution of the nonlinear least squares problem (1).. The method (3)

As for the compressible Navier-Stokes system (we refer to [3], [11], [17], [6]) both of these systems have been studied in the context of the existence of global strong solutions

We propose a new geometric concept, called separable intersec- tion, which gives local convergence of alternating projections when combined with Hölder regularity, a mild

In the first step the cost function is approximated (or rather weighted) by a Gauss-Newton type method, and in the second step the first order topological derivative of the weighted