Newton-Rhapson Method for 2 equations and 2 variables

版本 1.0.9 (2.4 KB) 作者: David Cazenave
Newton's method for 2 equations and 2 variables via matrix multiplication inside a while loop.
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更新时间 2022/8/17

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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.

引用格式

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. 检索来源 .

MATLAB 版本兼容性
创建方式 R2022a
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版本 已发布 发行说明
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