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math.NA2024
Variable reduction as a nonlinear preconditioning approach for optimization problems
Gabriele Ciaremalla, Tommaso Vanzan
When considering an unconstrained minimization problem, a standard approach is to solve the optimality system with a Newton method possibly preconditioned by, e.g., nonlinear elimi…
math.NA2024
Nonlinear Schwarz methods to compute geodesics on manifolds
Marco Sutti, Tommaso Vanzan
We consider the leapfrog algorithm by Noakes for computing geodesics on Riemannian manifolds. The main idea behind this algorithm is to subdivide the original endpoint geodesic pro…