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OPTIMIZATION ON SPHERE

 Problem:  Given a unit sphere $S^n$ in $R^{n+1}$ and a smooth function $f: S^n \rightarrow R$
Find an element $x_{*} \in S^n$ such that there is a neighbourhood $V$ of $x_{*}$ with $f(x_{*}) \leq f(x), \forall x \in V$.

In this slides, I will introduce some notations and the line-search method to perform minimization task on sphere.

 slides: CSE_SMU seminar 30/01/2016

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