## Generalized Polynomial Programming: Extensions and Applications |

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### Contents

Programming | 4 |

SECOND ORDER CHARACTERIZATION OF GENERALIZED | 19 |

CONSTRAINED SADDLEPOINT THEORY | 42 |

8 other sections not shown

### Common terms and phrases

Appendix boundary points CGPP Chapter chemical reactor concave function concave-convex conjugate convex function conjugate dual program conjugate function theory conjugate set constraint set convergence convex generalized polynomial convex program convex set corresponding CSTR degrees of difficulty developed dimensionless dual variables duality theorem equality constraints exchanger feasible geometric programming gradient heat Hence Hessian matrix inequality initial approximation initiate the algorithm Lagrange multipliers Lagrangian function Lemma linear constraints maximization maximum methods minimization minimum necessary conditions nonlinear equation nonlinear programming number of iterations objective function obtained optimization problem optimum Passy and Wilde polynomial programming primal problem primal program primal variables properties pseudomaximum quadratic form reaction real number satisfying section 1.2 signum functions solution solving stationary point stationary point problem strictly convex strictly positive sufficient conditions supporting hyperplane technique temperature transformed quasidual program tube unconstrained vector well-formulated generalized polynomial