Xu Jun Department of Applied Mathematics,Beijing Institute of Technology,Beijing 100081. Further Discussion of Bifurcational Problems in Nonlinear Parametric ProgrammingJ. Transactions of Beijing institute of Technology, 1997, (2): 131-135.
Citation: Xu Jun Department of Applied Mathematics,Beijing Institute of Technology,Beijing 100081. Further Discussion of Bifurcational Problems in Nonlinear Parametric ProgrammingJ. Transactions of Beijing institute of Technology, 1997, (2): 131-135.

Further Discussion of Bifurcational Problems in Nonlinear Parametric Programming

  • The structure of the solution of nonlinear parametric programming problem with a one dimensional parameter is reanalyzed in terms of bifurcational behav-ior of the curves near a critical point of F-J points set, so is the persistence ofminima along these curves. In this paper, generalized results of A.B.Poore and C.A. Thiart are presented, with a numerical method to compute the number ofbifurcational curves in some neighbourhood of the critical point.
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