Lecture

Solving Equations: Newton's Method

Description

This lecture covers the conditions for applying Newton's method to solve equations, including the non-linearity of the function and the Lipschitz continuity of its derivative. It also discusses the convergence of the method, presenting Theorem 7.7 and its implications. Additionally, the extension of Newton's method to multiple variables is explored, along with a reminder of gradient and Jacobian matrices. The lecture concludes with a brief explanation of the linear model.

In MOOCs (6)

Instructor

excepteur velit non

Incididunt irure adipisicing sunt sunt Lorem officia tempor in incididunt aute esse enim quis fugiat. Mollit nostrud reprehenderit quis non mollit non irure irure deserunt ut. Nulla cillum sint laborum commodo. Veniam elit laboris cillum est esse non ad adipisicing non. Dolore irure fugiat nulla commodo sunt. Ea consequat anim excepteur sunt non mollit eiusmod mollit veniam id duis magna.

Official source

https://mediaspace.epfl.ch/media/0_dk72b730

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

Topology: General topology

Statistics

Data analysis: Regression analysis

Related lectures (31)

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.