Lecture

Newton's method on Riemannian manifolds

In course

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Description

This lecture covers Newton's method on Riemannian manifolds, focusing on second-order optimality conditions, quadratic convergence, and solving the Newton system using a tangent space and Conjugate Gradient algorithm. The instructor explains retraction properties, intrinsic acceleration, and necessary and sufficient optimality conditions for smooth functions.

Official source

https://mediaspace.epfl.ch/media/0_hcfnnezt

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry

Analysis: Numerical analysis

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