What Is Optimization Toolbox?

fminconfunThe function to be minimized. fun is a function that accepts a vector x andreturns a scalar f, the objective function evaluated at x. The function funcan be specified as a function handle for an M-file functionx = fmincon(@myfun,x0,A,b)where myfun is a MATLAB function such asfunction f = myfun(x)f = ...% Compute function value at xfun can also be a function handle for an anonymous function.x = fmincon(@(x)norm(x)^2,x0,A,b);If the gradient of fun can also be computed and the GradObj option is 'on',as set byoptions = optimset('GradObj','on')then the function fun must return, in the second output argument, thegradient value g, avector,atx. Note that by checking the value of nargoutthe function can avoid computing g when fun is called with only one outputargument (in the case where the optimization algorithm only needs thevalue of f but not g).function [f,g] = myfun(x)f = ...% Compute the function value at xif nargout > 1 % fun called with two output argumentsg = ... % Compute the gradient evaluated at xendThe gradient consists of the partial derivatives of f at the point x. Thatis, the ith component of g is the partial derivative of f with respect to theith component of x.8-37