tp011.apm


Model tp011
  ! Source version 1

  Variables
    x[1] = 4.9
    x[2] = 0.1
    obj
  End Variables

  Equations
    (-1)*x[1]^2 + x[2] >= 0

    obj = (x[1] - 5)^2 + x[2]^2 - 25

    ! best known objective = -8.498464223154677
    ! aux1 = (1/6)*(270 + 6*sqrt(2031))^(1/3) - (270 + 6*sqrt(2031))^(-1/3)
    ! begin of best known solution
    ! x[1] = aux1 = 1.234772825053297
    ! x[2] = x[1]^2 = 1.5246639294901
    ! end of best known solution
    ! pay attention, H+S give erroneous formulae for x[1] and x[2] 
  End Equations
End Model

Stephan K.H. Seidl