image thumbnail

Golden-Section Search Numerical Method

version 1.0.0.0 (2.34 KB) by Roche de Guzman
Function for finding the x optimum to make f(x) extreme, using the golden-section search method

317 Downloads

Updated 24 Feb 2017

View License

% Inputs: with examples
% stO = maximum or minimum string: stO = 'minimum';
% AF = anonymous function equation: AF = @(x) 1-((20^2)./(9.81*(((3*x)+((x.^2)/2)).^3))).*(3+x);
% xb = initial guess x bracket = [xL xU], where xL = lower boundary x and xU = upper boundary x: xb = [0 2.5];
% ed = desired approximate relative error = (2-phi)*|(xU - xL)/xO|, where phi =(1+5^0.5)/2: ed = 0.01;
% Outputs
% xO = x optimum
% errO = approximate relative error
% nO = number of iterations
% xOV = x optimum vector
% errOV = approximate relative error vector
% AFD1 = anonymous function 1st derivative
% AFD2 = anonymous function 2nd derivative

Cite As

Roche de Guzman (2021). Golden-Section Search Numerical Method (https://www.mathworks.com/matlabcentral/fileexchange/61740-golden-section-search-numerical-method), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2015a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!