Newton’s Method for Systems of Nonlinear Equations
Generalized Newton’s method for systems of nonlinear equations. Lesson goes over numerically solving multivariable nonlinear equations step-by-step with visual examples and explanation of the Jacobian, the backslash operator, and the inverse Jacobian. Example code in MATLAB / GNU Octave on GitHub:
Chapters
0:00 Intro
0:12 Prerequisites
0:32 Background
0:58 Setup
1:54 Jacobian
2:55 Historical Context
5:11 Newton’s Method Example Step-by-Step
6:57 End Condition
7:12 Numerical Example in Table
7:33 Newton’s Method with Backslash
7:53 Newton’s Method with Inverse Jacobian
8:16 MATLAB / GNU Octave
9:01 Newton Fractals
10:51 3D Fractal
11:37 Historical Optimization Newton’s Method
12:18 Oscar’s Notes
12:59 Thank You
Recommended Viewing:
Newton’s Method
Newton Fractals
Newton-Bisection Hybrid
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