Newton Method in N dimensions

Version 1.1.0.0 (1.87 KB) by Kyle Drerup
Simple implementation of Newton's method, in n dimensions, taking input of >=n equations.
4.5
(2)
5.4K Downloads
Updated 14 Nov 2010

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For an input of n equations, it converges to the solution.
For an input of >n equations, there is no exact solution. In this case, the function minimizes sum( (individual equation errors).^2)

Cite As

Kyle Drerup (2024). Newton Method in N dimensions (https://www.mathworks.com/matlabcentral/fileexchange/29370-newton-method-in-n-dimensions), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2007b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.1.0.0

In rare instances, matlab tried to solve for inverse of the jacobian symbolically. I added if statement, to guarantee jacobian is numeric for each iteration.
Additionally, I changed the stop condition, to reflect linear convergence.
1.0.0.0