### Abstract

In the second chapter the conjugate function is defined and some of its properties are demonstrated. In the third chapter the general unconstrained geometric programming problem and its dual pair are introduced and some of its fundamental properties are proved. The primal optimality criteria is based on Peterson's papers [6,7] and the dual optimality criteria completes our examinations.

Language | English |
---|---|

Pages | 103-110 |

Number of pages | 8 |

Journal | Computers and Mathematics with Applications |

Volume | 21 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 1991 |

### Fingerprint

### Keywords

- general geometric programming
- conjugate function
- optimality criteria
- stationary point

### Cite this

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*Computers and Mathematics with Applications*, vol. 21, no. 1, pp. 103-110. https://doi.org/10.1016/0898-1221(91)90235-V

**Optimality criteria for general unconstrained geometric programming problems.** / Illés, Tibor.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Optimality criteria for general unconstrained geometric programming problems

AU - Illés, Tibor

PY - 1991/1/1

Y1 - 1991/1/1

N2 - This paper presents a possible generalization of geometric programming problems. Such a generalization was proposed by Peterson [6], based on Rockafellar's [8] conjugate function theory. Using their results, we define a slightly different, more symmetric dual pair of general unconstrained geometric programming problems.In the second chapter the conjugate function is defined and some of its properties are demonstrated. In the third chapter the general unconstrained geometric programming problem and its dual pair are introduced and some of its fundamental properties are proved. The primal optimality criteria is based on Peterson's papers [6,7] and the dual optimality criteria completes our examinations.

AB - This paper presents a possible generalization of geometric programming problems. Such a generalization was proposed by Peterson [6], based on Rockafellar's [8] conjugate function theory. Using their results, we define a slightly different, more symmetric dual pair of general unconstrained geometric programming problems.In the second chapter the conjugate function is defined and some of its properties are demonstrated. In the third chapter the general unconstrained geometric programming problem and its dual pair are introduced and some of its fundamental properties are proved. The primal optimality criteria is based on Peterson's papers [6,7] and the dual optimality criteria completes our examinations.

KW - general geometric programming

KW - conjugate function

KW - optimality criteria

KW - stationary point

U2 - 10.1016/0898-1221(91)90235-V

DO - 10.1016/0898-1221(91)90235-V

M3 - Article

VL - 21

SP - 103

EP - 110

JO - Computers and Mathematics with Applications

T2 - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 1

ER -