What Is Optimization Toolbox?

fminimaxfunThe function to be minimized. fun is a function that accepts a vector x andreturns a vector F, the objective functions evaluated at x. The function fun canbe specified as a function handle for an M-file functionx = fminimax(@myfun,x0)where myfun is a MATLAB function such asfunction F = myfun(x)F = ...% Compute function values at xfun can also be a function handle for an anonymous function.x = fminimax(@(x)sin(x.*x),x0);If the user-defined values for x and F are matrices, they are converted to avector using linear indexing.To minimize the worst case absolute values of any of the elements of thevector F(x) (i.e., min{max abs{F(x)} } ), partition those objectives into the firstelements of F and use optimset to set the MinAbsMax option to be the numberof such objectives.If the gradient of the objective function can also be computed and the GradObjoption is 'on', assetbyoptions = optimset('GradObj','on')then the function fun must return, in the second output argument, the gradientvalue G, amatrix,atx. Notethatbycheckingthevalueofnargout, the functioncan avoid computing G when myfun is called with only one output argument (inthe case where the optimization algorithm only needs the value of F but not G).function [F,G] = myfun(x)F = ...% Compute the function values at xif nargout > 1 % Two output argumentsG = ... % Gradients evaluated at xend8-57