## Large-Scale Optimization with Applications: Optimal Design and Control, Part 2With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering and fluid and solid mechanics, the major themes of this work include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models. This is the second volume in the series. |

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### Contents

THE DEVELOPMENT OF THE SQP ALGORITHM FOR NONLINEAR PROGRAMMING | 1 |

SOME ASPECTS OF SEQUENTIAL QUADRATIC PROGRAMMING METHODS | 21 |

COMPUTING SPARSE HESSIAN AND JACOBIAN APPROXIMATIONS WITH OPTIMAL HEREDITARY PROPERTIES | 37 |

EXPERIENCE WITH A SPARSE NONLINEAR PROGRAMMING ALGORITHM | 53 |

A SURVEY OF ALGORITHMS AND APPLICATIONS | 73 |

A MULTIPLIERFREE REDUCED HESSIAN METHOD FOR PROCESS OPTIMIZATION | 101 |

DETERMINISTIC GLOBAL OPTIMIZATION IN DESIGN CONTROL AND COMPUTATIONAL CHEMISTRY | 129 |

OPTIMIZATION PROBLEMS IN MODEL PREDICTIVE CONTROL | 185 |

SOME RECENT DEVELOPMENTS IN COMPUTATIONAL OPTIMAL CONTROL | 203 |

LARGESCALE STRUCTURAL DESIGN OPTIMIZATION | 235 |

LARGESCALE SQP METHODS FOR OPTIMIZATION OF NAVIERSTOKES FLOWS | 247 |

NUMERICAL OPTIMAL CONTROL OF PARABOLIC PDES USING DASOPT | 271 |

THE PROMISE AND REALITY OF MULTIDISCIPLINARY DESIGN OPTIMIZATION | 301 |

### Common terms and phrases

aerodynamic analysis Applications approach BFGS bilinear branch and bound C.A. Floudas Chemical Engineering Computers and Chemical connected variables convergence convex DASOPT defined derivatives design variables differential direction of negative discrete domain equations estimate formulation Global Optimization gradient grid Hessian matrix horizon HSCT I.E. Grossmann implementation initial integer Jacobian Lagrange multipliers Lagrangian large-scale Lipschitz continuous lower bound master problem Mathematics merit function MILP minimize MINLP model predictive control Newton nodes nonlinear programming number of iterations objective function obtained optimal control optimal control problems optimal solution optimiza optimization problems parameter polynomial positive definite programming problems QP subproblem quadratic programming quasi-Newton quasi-Newton method reduced Hessian relaxed dual problems satisfy search direction sequence sequential quadratic programming SNOPT solved sparse sparsity SQP algorithm SQP methods step strategy structure tion trajectory update vector Visweswaran