What Is Optimization Toolbox?

2 Tutorial2.9310e+006Step 2: Call a nonlinear minimization routine with a startingpoint xstart.fun = @brownfgh;load browneq% Get Aeq and beq, the linear equalitiesn = 1000;xstart = -ones(n,1); xstart(2:2:n) = 1;options = optimset('GradObj','on','Hessian','on', ...'PrecondBandWidth', inf);[x,fval,exitflag,output] = ...fmincon(fun,xstart,[],[],Aeq,beq,[],[],[],options);Setting the option PrecondBandWidth to inf causes a sparse direct solver tobe used instead of preconditioned conjugate gradients.The exitflag value of 3 indicates that the algorithm terminated because thechange in the objective function value was less than the specified toleranceTolFun. The final function value is given by fval.exitflag =3fval =205.9313output =iterations: 16funcCount: 17cgiterations: 20firstorderopt: 7.3575e-005algorithm: 'large-scale: projected trust-region Newton'message: [1x86 char]The linear equalities are satisfied at x.norm(Aeq*x-beq)2-60