Lecture
Optimality conditions: second order
Description
This lecture covers necessary and sufficient optimality conditions for local minima on manifolds, focusing on second-order critical points and the relationship between the gradient and Hessian matrix. The instructor explains how to determine if a point is a local minimum using smooth curves and provides a proof sketch for the conditions. Additionally, the lecture discusses the implications of the boxed terms in the necessary optimality conditions.
Official source
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