What Is Optimization Toolbox?

2 TutorialUsing the Optimization FunctionsThis section provides some basic information about using the optimizationfunctions.Defining the Objective FunctionMany of the optimization functions require you to create a MATLAB functionthat computes the objective function. The function should accept vectorinputs and return a scalar output of type double. Therearetwowaystocreate the objective function:• Create an anonymous function at the command line. For example, to createan anonymous function for x 2 ,entersquare = @(x) x.^2;Youthencallthe optimization function with square as the first inputargument. You can use this method if the objective function is relativelysimple and you do not need to use it again in a future MATLAB session.• Write an M-file for the function. For example, to write the function x 2 as aM-file, open a new file in the MATLAB editor and enter the following code:function y = square(x)y = x.^2;You can then call the optimization function with @square as the first inputargument. The @ sign creates a function handle for square. Use thismethod if the objective function is complicated or you plan to use it formore than one MATLAB session.Note Because the functions in Optimization Toolbox only accept inputs oftype double, user-supplied objective and nonlinear constraint functions mustreturn outputs of type double.Maximizing Versus MinimizingThe optimization functions in the toolbox minimize the objective function. Tomaximize a function f, apply an optimization function to minimize -f. The2-6