## Optimization—Theory and PracticeOptimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering. Constrained optimization models are one of the most widely used mathematical models in operations research and management science. This book gives a modern and well-balanced presentation of the subject, focusing on theory but also including algorithims and examples from various real-world applications. The text is easy to read and accessible to anyone with a knowledge of multi-dimensional calculus, linear algebra and basic numerical methods. Detailed examples and counter-examples are provided--as are exercises, solutions and helpful hints, and Matlab/Maple supplements. The intended readership is advanced undergraduates, graduates, and professionals in any of the applied fields. |

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### Contents

1 Introduction | 1 |

2 Optimality Conditions | 35 |

3 Unconstrained Optimization Problems | 87 |

4 Linearly Constrained Optimization Problems | 151 |

5 Nonlinearly Constrained Optimization Problems | 213 |

6 InteriorPoint Methods for Linear Optimization | 241 |

7 Semidefinite Optimization | 299 |

8 Global Optimization | 341 |

Appendices | 365 |

383 | |

391 | |