Prof. Dr. Roland Herzog | Technische Universität Chemnitz | Germany
Optimization and inverse problems are most frequently formulated in vector spaces. In many situations, however, a more natural formulation is obtained on manifolds. Examples include problems involving shapes and interfaces, as well as problems with manifold-valued data such as normal vector fields or diffusion tensors. In this presentation, we give an introduction into optimization and inverse problems on manifolds. We touch upon optimality conditions, algorithms and present numerical examples.