rootSolve(func, xLow, xUpp, tol)

version 1.21.0.0 (2.41 KB) by Matthew Kelly
This function uses Ridder's Method to do non-linear root finding

225 Downloads

Updated 24 Apr 2017

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This function uses Ridder's Method to do non-linear root finding. This method works well for smooth scalar functions, and requires a bounded search space.
% XZERO = ROOTSOLVE(FUNC, XLOW, XUPP, TOL)
%
% FUNCTION: This function uses Ridder's Method to return a root, xZero,
% of func on the interval [xLow,xUpp]
%
% INPUTS:
% func = a function for a SISO function: y = f(x)
% xLow = the lower search bound
% xUpp = the upper search bound
% tol = return xZero if abs(func(xZero)) < tol
%
% OUTPUTS:
% xZero = the root of the function on the domain [xLow, xUpp]
%
% NOTES:
% 1) The function must be smooth
% 2) sign(f(xLow)) ~= sign(f(xUpp))
% 3) This function will return a root if one exists, and the function is
% not crazy. If there are multiple roots, it will return the first one
% that it finds.

Cite As

Matthew Kelly (2022). rootSolve(func, xLow, xUpp, tol) (https://www.mathworks.com/matlabcentral/fileexchange/54458-rootsolve-func-xlow-xupp-tol), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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