数学季刊 ›› 1993, Vol. 8 ›› Issue (4): 32-39.

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Duality of Unary Convex Functions Programming

  


  1. Shanghai Normal University Shanghai 200234.P.R.China

  • 收稿日期:1992-03-25 出版日期:1993-12-30 发布日期:2025-05-20

Duality of Unary Convex Functions Programming

  1. Shanghai Normal University Shanghai 200234.P.R.China
  • Received:1992-03-25 Online:1993-12-30 Published:2025-05-20

摘要:  Most nonliner programming problems consist of functions which are sums of unary,convexfunctions of linear fuctions.In this paper.we derive the duality forms of the unary oonvex optimization,and these technuqucs are applied to the geometric programming and minimum discrimination informationproblems.

关键词: unary convex optimization, duality form, conjugate transform

Abstract:  Most nonliner programming problems consist of functions which are sums of unary,convexfunctions of linear fuctions.In this paper.we derive the duality forms of the unary oonvex optimization,and these technuqucs are applied to the geometric programming and minimum discrimination informationproblems.

Key words: unary convex optimization, duality form, conjugate transform