Lecture

Optimality Conditions: Unconstrained

Description

This lecture covers Fermat's theorem stating that x* is a local minimum of f if f is differentiable around x* and Vf(x*) = 0. It also discusses necessary optimality conditions, such as the positive semidefinite condition for twice differentiable functions and examples illustrating the concept. Additionally, the lecture explores second derivatives, convexity, and eigenvalue curvature in the context of optimization.

In MOOCs (6)

Instructor

culpa aliquip ad dolor

Labore duis et dolor deserunt exercitation ex fugiat ad exercitation culpa sunt magna id est. Tempor et elit cupidatat excepteur proident in sint officia tempor irure ullamco magna. Aliqua id do anim quis. Deserunt minim ut esse culpa aute officia.

Official source

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

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.

Ontological neighbourhood

Mathematics

Analysis: Calculus

Related lectures (54)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.