## Nonlinear optimization, 1981 |

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active constraints active set algor algorithm analysis applied approach approximation augmented Lagrangian methods Beale BFGS bounds calculation computational conjugate gradient method Conn constrained optimization constrained problems convex defined Dembo developed differentiable efficient estimates exact penalty functions example factorization feasible point finite Fletcher function evaluations Gill global convergence Hessian matrix implementation iteration ithms Jacobian Lagrange multipliers large problems large scale Lasdon least squares line search linear constraints linear programming linearly constrained Lootsma mathematical Murray Newton Newton's method nonlinear optimization nonlinear programming numerical objective function obtained optimization problems optimization software Paper performance positive definite Powell priorities programming problems quadratic programming quasi-Newton methods reduced gradient robust satisfy Schittkowski Schnabel search direction second derivatives second order Shanno solution solve sparse step straints strategy subproblem subroutine superbasic techniques test problems trust region unconstrained minimization update values vector zero