Open Vs Closed Root-Finding Methods

Let’s talk about open vs closed root-finding methods in numerical methods. To solve a non-linear equation means to find the roots of the function. To find these roots we can either us an open root-finding method or a closed root-finding method. An open root-finding method uses an initial guess for where we think the root may be located whereas in closed root-finding methods we bound the root between an upper and a lower boundary and then close in on our root as we iterate the chosen algorithm.

This timeline is meant to help you better understand the difference between open and closed root-finding methods: 0:00 Introduction. 0:35 Closed Root-Finding Methods. 2:25 Open Root-Finding Methods. 3:48 Outro

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This video is part of our Numerical Methods course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc..

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