Newton-Rhapson Method for 2 equations and 2 variables

Newton's method for 2 equations and 2 variables via matrix multiplication inside a while loop.
23 Downloads
Updated 17 Aug 2022

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This script uses matrix multiplication in a while loop to calculate the zero(s) of f(x,y) = 0 and g(x,y) = 0, (2 equations and 2 variables), via the Newton-Rhapson method. It plots the zero level curves and the iterations of the method. It displays the iterations in a table in the command window. The script needs 3 inputs: the 2 equations, and the starting point entered as a column vector. The screen shot, left of title, shows example of zero of the two equations: f = y-sin(x), g = y-x^2+1 with starting point [-2;2], in the command and figure windows.

Cite As

David Cazenave (2024). Newton-Rhapson Method for 2 equations and 2 variables (https://www.mathworks.com/matlabcentral/fileexchange/109685-newton-rhapson-method-for-2-equations-and-2-variables), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2022a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.0.9

Changed title in script description.

1.0.8

Changed image (screen shot).

1.0.7

Changed descriptions.

1.0.6

Added to Description.

1.0.5

Clarified description.

1.0.4

Fixed error in comments.

1.0.3

Updated for R2022a.

1.0.2

Changed title.

1.0.1

Renamed file.

1.0.0