### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Publication status | Published - 1998 |

### Publication series

Name | |
---|---|

Publisher | Department of Applied Mathematics, University of Twente |

No. | 1470 |

ISSN (Print) | 0169-2690 |

### Keywords

- MSC-90C31
- MSC-90C34
- EWI-3290
- MSC-90C30
- IR-65659
- MSC-65K05

### Cite this

*Generalized semi-infinite programming: Numerical aspects*. Enschede: University of Twente, Department of Applied Mathematics.

}

*Generalized semi-infinite programming: Numerical aspects*. University of Twente, Department of Applied Mathematics, Enschede.

**Generalized semi-infinite programming: Numerical aspects.** / Still, Georg J.

Research output: Book/Report › Report › Other research output

TY - BOOK

T1 - Generalized semi-infinite programming: Numerical aspects

AU - Still, Georg J.

N1 - Imported from MEMORANDA

PY - 1998

Y1 - 1998

N2 - Generalized semi-infinite optimization problems (GSIP) are considered. It is investigated how the numerical methods for standard semi-infinite programming (SIP) can be extended to GSIP. Newton methods can be extended immediately. For discretization methods the situation is more complicated. These difficulties are discussed and convergence results for a discretization and an exchange method are derived under fairly general assumptions. The question under which conditions GSIP represents a convex problem is answered.

AB - Generalized semi-infinite optimization problems (GSIP) are considered. It is investigated how the numerical methods for standard semi-infinite programming (SIP) can be extended to GSIP. Newton methods can be extended immediately. For discretization methods the situation is more complicated. These difficulties are discussed and convergence results for a discretization and an exchange method are derived under fairly general assumptions. The question under which conditions GSIP represents a convex problem is answered.

KW - MSC-90C31

KW - MSC-90C34

KW - EWI-3290

KW - MSC-90C30

KW - IR-65659

KW - MSC-65K05

M3 - Report

BT - Generalized semi-infinite programming: Numerical aspects

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -