Solver for nonlinear equation systems: newton.m

Solves a system f(x) = 0 with n equations in n variables.

Version 2.0.2 (192 KB)
283 Downloads
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12 Jan 2021

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This is a simple and fast solver for nonlinear equation systems. Calculates a numerical Jacobian if not supplied by the user. It is an alternative to fsolve in Optimization Toolbox. In addition it allows bounds on independent variables, helping the user to find the relevant solution and avoid that his/her function is called with unwanted values.

Many implementations of Newton's method are already available on the File Exchange, but they are often restricted to one or a fixed number of equations, or they are tailored to specific applications. I have found this version useful for a range of problems.

Live scripts for help and examples are included.

Cite As

Are Mjaavatten (2026). Solver for nonlinear equation systems: newton.m (https://www.mathworks.com/matlabcentral/fileexchange/82320-solver-for-nonlinear-equation-systems-newton-m), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
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Version Published Release Notes
2.0.2

Forgot to change file
2.0.1

Improved error handling and diagnostics
2.0.0

Uses numerical Jacobian if not provided by the user.
Added bounds on independent variables.
User control of iteration parameters.
1.0.0