### Abstract

Sequential (or Successive) Quadratic Programming (SQP) is a technique for the solution of Nonlinear Programming (NLP)problems. It is, as we shall see, an idealized concept, permitting and indeed necessitating many variations and modifications before becoming available as part of a reliable andefficient production computer code. In this monograph we trace the evolution of the SQP method through some important special cases of nonlinear programming, up to the most general form of problem. To fully understandthese developments it is important to have a thorough grasp of the underlying theoretical concepts, particularly in regard to optimality conditions. In this monograph we include a simple yet rigorous presentation of optimality conditions, which yet covers most cases of interest

Original language | English |
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Title of host publication | Nonlinear optimization |

Editors | J.-M. Morel, F. Takens, B. Teissier |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 165-214 |

Number of pages | 50 |

ISBN (Electronic) | 978-3-642-11339-0 |

ISBN (Print) | 978-3-642-11338-3 |

DOIs | |

Publication status | Published - 2010 |

### Publication series

Name | Lecture notes in mathematics |
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Publisher | Springer |

Volume | 1989 |

ISSN (Print) | 0075-8434 |

ISSN (Electronic) | 1617-9692 |

## Cite this

Fletcher, R. (2010). The sequential quadratic programming method. In J-M. Morel, F. Takens, & B. Teissier (Eds.),

*Nonlinear optimization*(pp. 165-214). (Lecture notes in mathematics; Vol. 1989). Springer . https://doi.org/10.1007/978-3-642-11339-0_3