Nonlinear equation system solver: broyden

Version 2.0.1 (49.2 KB) by Are Mjaavatten
Solve set of nonlinear equations. Optionally define bounds on independent variables.
5.0
(3)
1.5K Downloads
Updated 18 May 2023

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This function tries to solve f(x) = 0, where f is a vector function. Uses Broyden's pseudo-Newton method, where an approximate Jacobian is updated at each iteration step, using no extra function evaluations. The optional bounds keep the search within a rectangular region.
fsolve from the optimisation toolbox is more robust but lacks the bounds option.

Cite As

Are Mjaavatten (2024). Nonlinear equation system solver: broyden (https://www.mathworks.com/matlabcentral/fileexchange/54667-nonlinear-equation-system-solver-broyden), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Systems of Nonlinear Equations in Help Center and MATLAB Answers

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Version Published Release Notes
2.0.1

Improved robustness.
Added Live Editor script broyden_demo.mlx
1.2.0.0

Revised call sequence: bounds and other optional inputs are now entered ar name/value pairs. Added Image and Live Script example.

1.1.0.0

Added iteration history as an output.
1.0.0.0