Lecture

Partial Derivatives: Matrices and Local Extrema

Description

This lecture covers the concept of hessian matrices for functions of several variables, defining them as the matrix of second partial derivatives. It explains the conditions for a hessian matrix to be symmetric and positive definite, leading to local extrema of a function. The demonstration involves the Taylor formula and the properties of positive definite matrices, showing how to determine local minima and maxima.

About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.