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MATLAB Academy

Solving Nonlinear Equations with MATLAB

MathWorks via MATLAB Academy

Overview

  • Introduction: Familiarize yourself with root finding concepts and the course.
  • What is Root Finding?: Define a root of a function and root finding problems.
  • Finding a Root: The Bisection Method: Explore the bisection method, a simple and robust root finding algorithm.
  • Finding a Root: The fzero Function: Use the MATLAB function fzero to find roots.
  • Systems of Nonlinear Equations: The fsolve Function: Use the MATLAB function fsolve to solve systems of nonlinear equations.
  • Next Steps: Give feedback on the course.

Syllabus

  • Course Overview
  • The Roots of a Function
  • Visualizing Roots
  • Defining the Root Finding Problem
  • Selecting Brackets for a Root
  • The Bisection Method Algorithm
  • MATLAB Root Finding Functions
  • Anonymous Functions
  • The fzero Function
  • Finding Multiple Roots
  • Review - The fzero Function
  • Roots of Systems of Equations
  • Anonymous Functions for Multivariable Systems
  • The fsolve Function
  • Review - The fsolve Function
  • Additional Resources
  • Survey

Taught by

Ben Placek

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