Newton's method done right

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

Versione 1.3 (137 KB)
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9 dic 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.

Cita come

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

Riconoscimenti

Ispirato: GUI for "Newton's Method Done Right"

Categorie

Scopri di più su Systems of Nonlinear Equations in Help Center e MATLAB Answers

Informazioni generali

Compatibilità della release di MATLAB

  • Compatibile con qualsiasi release

Compatibilità della piattaforma

  • Windows
  • macOS
  • Linux
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Versione Pubblicato Note della release
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