What Is Optimization Toolbox?

2 Tutorialceq=[];DCeq = [ ];G contains the partial derivatives of the objective function, f, returned byobjfungrad(x), with respect to each of the elements in x:The columns of DC contain the partial derivatives for each respectiveconstraint (i.e., the ith column of DC is the partial derivative of the ithconstraint with respect to x). So in the above example, DC is(2-4)(2-5)Since you are providing the gradient of the objective in objfungrad.m and thegradient of the constraints in confungrad.m, youmust tell fmincon that theseM-files contain this additional information. Use optimset to turn the optionsGradObj and GradConstr to 'on' in the example’s existing options structure:options = optimset(options,'GradObj','on','GradConstr','on');If you do not set these options to 'on' in the options structure, fmincon doesnot use the analytic gradients.The arguments lb and ub place lower and upper bounds on the independentvariables in x. In this example, there are no bound constraints and so theyare both set to [].Step 3: Invoke the constrained optimization routine.x0 = [-1,1];% Starting guess2-16