alkylati.pro~orig

sqp程序包。用sqp算法实现非线性约束的优化求解

donlp2, v3, 05/29/98, copyright P. Spellucci
Thu Feb 24 16:52:37 2000
alkylation

     n=        10    nh=         3    ng=        28

  epsx= 1.000e-05 sigsm= 1.490e-08

startvalue
  1.7450000e+03   1.2000000e+04   1.1000000e+02   3.0480000e+03   1.9740000e+03 
  8.9200000e+01   9.2800000e+01   8.0000000e+00   3.6000000e+00   1.4500000e+02 

  eps=  2.22e-16  tol= 1.98e-323 del0=  2.00e-01 delm=  2.00e-07 tau0=  1.00e+00
  tau=  1.00e-01   sd=  1.00e-01   sw=  3.67e-11  rho=  1.00e-06 rho1=  1.00e-10
 scfm=  1.00e+04  c1d=  1.00e-02 epdi=  1.00e-16
  nre=        10 anal=         1

 termination reason:
 KT-conditions satisfied, no further correction computed
 evaluations of f                          121
 evaluations of grad f                      65
 evaluations of constraints               1971
 evaluations of grads of constraints       195
 final scaling of objective           2.011336e-01
 norm of grad(f)                      1.914183e+02
 lagrangian violation                 7.720557e-06
 feasibility violation                1.469047e-12
 dual feasibility violation           0.000000e+00
 optimizer runtime sec's              1.500000e-01


 optimal value of f =  -1.76880696371624e+03

 optimal solution  x =
  1.69809476289212e+03  1.58186146359307e+04  5.41026833729683e+01
  3.03122521548534e+03  2.00000000000000e+03  9.01154223428223e+01
  9.50000000000000e+01  1.04932981511482e+01  1.56163636363636e+00
  1.53535353535354e+02

  multipliers are relativ to scf=1
  nr.    constraint      normgrad (or 1)   multiplier
    1  -2.2737368e-13    1.8677259e+00   -4.2094035e+00
    2  -1.0231815e-12    4.7510758e+00    7.4622073e+01
    3   2.1849189e-13    1.0000194e+00    5.9433317e+01
    4   3.2967879e-01    1.0000000e+00    0.0000000e+00
    5   1.6653345e-16    1.1330719e+00    3.1180379e+02
    6   0.0000000e+00    3.1591296e+00    6.9919638e+01
    7   3.0862157e+00    3.1654864e+00    0.0000000e+00
    8   4.3655746e-11    1.4256818e+01    6.7782143e-01
    9   6.0930689e+01    1.0000000e+00    0.0000000e+00
   10   1.5631940e-13    1.0844496e+00    2.2960638e+02
   11   1.9095960e+00    1.0000000e+00    0.0000000e+00
   12   1.6980948e+03    1.0000000e+00    0.0000000e+00
   13   1.5818615e+04    1.0000000e+00    0.0000000e+00
   14   5.4102673e+01    1.0000000e+00    0.0000000e+00
   15   3.0312252e+03    1.0000000e+00    0.0000000e+00
   16   2.0000000e+03    1.0000000e+00    0.0000000e+00
   17   5.1154223e+00    1.0000000e+00    0.0000000e+00
   18   5.0000000e+00    1.0000000e+00    0.0000000e+00
   19   7.4932982e+00    1.0000000e+00    0.0000000e+00
   20   3.6163636e-01    1.0000000e+00    0.0000000e+00
   21   8.5353535e+00    1.0000000e+00    0.0000000e+00
   22   3.0190524e+02    1.0000000e+00    0.0000000e+00
   23   1.8138536e+02    1.0000000e+00    0.0000000e+00
   24   6.5897317e+01    1.0000000e+00    0.0000000e+00
   25   1.9687748e+03    1.0000000e+00    0.0000000e+00
   26   0.0000000e+00    1.0000000e+00    8.8440348e-01
   27   2.8845777e+00    1.0000000e+00    0.0000000e+00
   28   0.0000000e+00    1.0000000e+00    1.7341579e+02
   29   1.5067018e+00    1.0000000e+00    0.0000000e+00
   30   2.4383636e+00    1.0000000e+00    0.0000000e+00
   31   8.4646465e+00    1.0000000e+00    0.0000000e+00

 evaluations of restrictions and their gradients
 (   285,    65) (   240,    65) (   199,    65) (   185,     0) (   183,     0)
 (   179,     0) (   161,     0) (   164,     0) (   122,     0) (   132,     0)
 (   121,     0) (     0,     0) (     0,     0) (     0,     0) (     0,     0)
 (     0,     0) (     0,     0) (     0,     0) (     0,     0) (     0,     0)
 (     0,     0) (     0,     0) (     0,     0) (     0,     0) (     0,     0)
 (     0,     0) (     0,     0) (     0,     0) (     0,     0) (     0,     0)
 (     0,     0)
last estimate of condition of active gradients  1.364e+03
last estimate of condition of approx. hessian   5.133e+05
iterative steps total              64
# of restarts                       3
# of full regular updates          42
# of updates                       61
# of full regularized SQP-steps     0