Newton's method done right

Newton's method for solving systems of nonlinear equations, including nonsquare and inconsistent

Version 1.3 (137 ko)
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9 déc. 2025

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Newton's method for solving a system of nonlinear equations, see http://en.wikipedia.org/wiki/Newton's_method
Newton(X,F,X0) solves nonlinear system F(x)=0 by Newton's method, using the given initial approximation X0. The derivative (Jacobian) is evaluated symbolically. The iterations are performed numerically.
The included demo NewtonDemoRunMe.m shows how to run the Newton.m function. E.g., it creates a slide-show and a movie, illustrating the behavior of the iterates.

Citation pour cette source

Andrew Knyazev (2026). Newton's method done right (https://fr.mathworks.com/matlabcentral/fileexchange/33672-newton-s-method-done-right), MATLAB Central File Exchange. Extrait(e) le .

Remerciements

A inspiré : GUI for "Newton's Method Done Right"

Catégories

En savoir plus sur Systems of Nonlinear Equations dans Help Center et MATLAB Answers

Informations générales

Compatibilité avec les versions de MATLAB

  • Compatible avec toutes les versions

Plateformes compatibles

  • Windows
  • macOS
  • Linux
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Version Publié le Notes de version
1.3

Light editing.
The demo updated to make movies in the latest MATLAB and now uses the color‑blind–friendly palette Okabe–Ito.
1.2

Multiple improvements and updates.
added a conversion to a toolbox
1.1.0.0

Bug fixes in Newton.m and a new script NewtonDemoRunMe.m with examples.

1.0.0.0