dembo4cx.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 16:53:53 2000
dembo4c

     n=         9    nh=         0    ng=        23

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

startvalue
  6.0000000e+00   3.0000000e+00   4.0000000e-01   2.0000000e-01   6.0000000e+00 
  6.0000000e+00   1.0000000e+00   5.0000000e-01   4.2000000e+00 

  eps=  2.22e-16  tol= 1.98e-323 del0=  9.90e-01 delm=  1.00e-06 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=  0.00e+00
  nre=         9 anal=         1

 termination reason:
 KT-conditions satisfied, no further correction computed
 evaluations of f                           15
 evaluations of grad f                      14
 evaluations of constraints                125
 evaluations of grads of constraints        70
 final scaling of objective           1.000000e+00
 norm of grad(f)                      1.000000e+00
 lagrangian violation                 9.895816e-06
 feasibility violation                7.281953e-13
 dual feasibility violation           0.000000e+00
 optimizer runtime sec's              5.000000e-02


 optimal value of f =   3.95213938702343e+00

 optimal solution  x =
  6.36527951653748e+00  2.32596099548049e+00  6.70305102264739e-01
  5.95985684050030e-01  5.94951607933815e+00  5.52852479923435e+00
  1.03899163199540e+00  4.02599522110164e-01  3.95213938702343e+00

  multipliers are relativ to scf=1
  nr.    constraint      normgrad (or 1)   multiplier
    1   1.3877788e-14    1.0000000e+00    2.2255779e+00
    2   2.1094237e-14    1.0000000e+00    6.3160699e+00
    3  -6.9610984e-13    1.0000000e+00    9.0159077e-01
    4   3.1771877e-12    1.0000000e+00    8.6683977e-01
    5  -3.2085445e-14    1.0000000e+00    1.2626650e+01
    6   6.2652795e+00    1.0000000e+00    0.0000000e+00
    7   2.2259610e+00    1.0000000e+00    0.0000000e+00
    8   5.7030510e-01    1.0000000e+00    0.0000000e+00
    9   4.9598568e-01    1.0000000e+00    0.0000000e+00
   10   5.8495161e+00    1.0000000e+00    0.0000000e+00
   11   5.4285248e+00    1.0000000e+00    0.0000000e+00
   12   9.3899163e-01    1.0000000e+00    0.0000000e+00
   13   3.0259952e-01    1.0000000e+00    0.0000000e+00
   14   3.8521394e+00    1.0000000e+00    0.0000000e+00
   15   3.6347205e+00    1.0000000e+00    0.0000000e+00
   16   7.6740390e+00    1.0000000e+00    0.0000000e+00
   17   9.3296949e+00    1.0000000e+00    0.0000000e+00
   18   9.4040143e+00    1.0000000e+00    0.0000000e+00
   19   4.0504839e+00    1.0000000e+00    0.0000000e+00
   20   4.4714752e+00    1.0000000e+00    0.0000000e+00
   21   8.9610084e+00    1.0000000e+00    0.0000000e+00
   22   9.5974005e+00    1.0000000e+00    0.0000000e+00
   23   6.0478606e+00    1.0000000e+00    0.0000000e+00

 evaluations of restrictions and their gradients
 (    25,    14) (    25,    14) (    25,    14) (    25,    14) (    25,    14)
 (     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  1.619e+00
last estimate of condition of approx. hessian   4.087e+01
iterative steps total              13
# of restarts                       0
# of full regular updates          13
# of updates                       13
# of full regularized SQP-steps     0