J4 ›› 2010, Vol. 48 ›› Issue (05): 743-748.

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Solving a Class of Semiinfinite ProgrammingProblem by Homotopy Method

SU Menglong1,2, ZHAO Liqin3, Lv  Xianrui2   

  1. 1. College of Mathematics, Luoyang Normal University, Luoyang 471000, Henan Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China;3. Editorial Department of Journal of Jilin University, Changchun 130021, China
  • Received:2009-10-27 Online:2010-09-26 Published:2010-09-21
  • Contact: SU Menglong E-mail:mlsulynu@163.com

Abstract:

A homotopy interior point method was proposed to solve a class of semiinfinite programming problem. Under some proper conditions, we obtained the constructive proof of the existence of the homotopy path which connects any given point in X with the solution of the semiinfinite programming problem, and hence constructed an implementable globally convergent algorithm.

Key words: semiinfinite programming, homotopy method, globally convergence

CLC Number: 

  • O221.2