7–11 Apr 2025
Lecture and Conference Centre
Europe/Warsaw timezone

Newton's method for nonlinear mappings into vector bundles

10 Apr 2025, 08:50
20m
Room 1.25

Room 1.25

Speaker

Laura Weigl

Description

In this talk, we consider Newton’s method for finding zeros of nonlinear mappings from a manifold X into a vector bundle E. This setting requires a connection on E to render the Newton equation well defined, and a retraction on X is needed to compute a Newton update. As applications we will discuss variational problems involving mappings between manifolds, and, in particular, the numerical computation of geodesics under force fields.

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