Newton's method done right

Version 1.3 (137 KB) von Andrew Knyazev
Newton's method for solving systems of nonlinear equations, including nonsquare and inconsistent
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Aktualisiert 9. Dez 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.

Zitieren als

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

Kompatibilität der MATLAB-Version
Erstellt mit R2025b
Kompatibel mit allen Versionen
Plattform-Kompatibilität
Windows macOS Linux
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Mehr zu Systems of Nonlinear Equations finden Sie in Help Center und MATLAB Answers
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Inspiriert: GUI for "Newton's Method Done Right"

Version Veröffentlicht Versionshinweise
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