active constraints active constraints active constraints active set method active set method active set method active set method active set method arguments, additional attainment factor axis crossing. See zero of a function banana function BFGS formula BFGS formula BFGS formula bisection search bound constraints, large-scale box constraints. See bound constraints centering parameter CG. See conjugate gradients code updating to Version 2 syntax complementarity conditions complex values complex variables complex variables conjugate gradients constrained minimization large-scale example large-scale example medium-scale example constraints linear linear linear positive continuous function and gradient methods conventions in our documentation (table) convex problem cubic interpolation curve-fitting categories functions that apply data-fitting categories functions that apply dense columns, constraint matrix DFP formula direction of negative curvature discontinuities discontinuities discontinuous problems discontinuous problems discrete variables dual problem duality gap -constraint method equality constraints dense columns medium-scale example equality constraints inconsistent warning, quadprog equality constraints, linear large-scale equation solving categories functions that apply error, Out of memory. feasibility conditions feasible point, finding fgoalattain example fixed variables fixed-step ODE solver fminbnd fmincon large-scale example large-scale example medium-scale example fminimax example fminsearch fminunc large-scale example medium-scale example warning messages fseminf fsolve large-scale example medium-scale example function arguments function discontinuities functions grouped by type of optimization updating to Version 2 fzero Gauss-Newton Gauss-Newton method Gauss-Newton method Gauss-Newton method Gauss-Newton method Gauss-Newton method Gauss-Newton method global minimum global variables goal attainment goal attainment example goaldemo golden section search gradient checking, analytic gradient examples gradient function gradient methods Hessian modified message Hessian modified twice message Hessian sparsity structure Hessian update Hessian update inconsistent constraints indefinite problems infeasible message infeasible problems infeasible solution warning linprog quadprog infinite loop inline objects input arguments integer variables interior-point linear programming introduction to optimization iterative display Jacobian examples Jacobian sparsity pattern Kuhn-Tucker equations Lagrange multipliers large-scale linear programming large-scale functionality coverage large-scale methods demos examples least squares categories functions that apply Levenberg-Marquardt method Levenberg-Marquardt method Levenberg-Marquardt method Levenberg-Marquardt method Levenberg-Marquardt method line search line search line search line search line search line search strategy linear constraints linear constraints linear constraints linear equations solve linear least squares constrained large-scale algorithm large-scale example nonnegative unconstrained linear programming implementation large-scale algorithm large-scale example large-scale example problem linprog large-scale example large-scale example LIPSOL lower bounds lsqcurvefit lsqlin large-scale example lsqnonlin convergence large-scale example medium-scale example lsqnonneg maximization medium-scale methods demos Mehrotra's predictor-corrector algorithm Mehrotra's predictor-corrector algorithm merit function minimax examples minimax problem, solving minimization categories functions that apply multiobjective optimization multiobjective optimization examples NCD. See Nonlinear Control Design negative curvature direction negative curvature direction negative definite problems Nelder and Mead Newton direction approximate Newton's method no update message nonconvex problems noninferior solution Nonlinear Control Design (NCD) Blockset nonlinear data-fitting nonlinear equations, solving nonlinear least squares nonlinear least squares nonlinear least squares large-scale algorithm large-scale example nonlinear programming nonlinear system of equations, large-scale example normal equations normal equations objective function objective function, undefined values optimality conditions linear programming optimget optimization functions for each type introduction optimization parameters structure optimization parameters structure optimization parameters structure optimset options parameters descriptions possible values utility functions Out of memory. error output arguments output display output headings large-scale algorithms medium-scale algorithms PCG. See preconditioned conjugate gradients preconditioned conjugate gradients preconditioned conjugate gradients preconditioned conjugate gradients algorithm preconditioner preconditioner banded predictor-corrector algorithm preprocessing linear programming linear programming primal problem primal-dual algorithm primal-dual interior-point projection method projection method quadprog large-scale example quadratic interpolation quadratic programming quadratic programming quadratic programming large-scale algorithm large-scale example quasi-Newton method quasi-Newton method quasi-Newton method reflective line search reflective steps reflective steps residual Rosenbrock's function sampling interval secular equation semi-infinite constraints Sherman-Morrison formula signal processing example simple bounds simplex search simplex search Simulink, multiobjective example singleton rows sparsity pattern Jacobian sparsity structure, Hessian SQP method SQP method SQP method steepest descent stopping criteria, large-scale linear programming structural rank subspace determination of subspace, two-dimensional syntax updating to Version 2 system of equations, solving trust region two-dimensional subspace typographical conventions unbounded solutions warning linprog quadprog unconstrained minimization unconstrained minimization large-scale example medium-scale example one dimensional unconstrained optimization updating code to Version 2 syntax upper bounds variable-step ODE solver Version 2 changes to calling sequence converting Version 1.5 code warning equality constraints inconsistent, quadprog infeasible solution, linprog infeasible solution, quadprog stuck at minimum, fsolve unbounded solutions, linprog unbounded solutions, quadprog warnings displayed weighted sum strategy zero curvature direction zero finding zero of a function, finding