dembo1as.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 16:53:47 2000
dembo1asc

     n=        12    nh=         0    ng=        15

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

startvalue
  4.0000000e+00   4.0000000e+00   4.0000000e+00   4.0000000e+00   4.0000000e+00 
  4.0000000e+00   4.0000000e+00   4.0000000e+00   4.0000000e+00   4.0000000e+00 
  4.0000000e+00   4.0000000e+00 

  eps=  2.22e-16  tol= 1.98e-323 del0=  5.00e-02 delm=  5.00e-08 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=        12 anal=         1

 termination reason:
 KT-conditions satisfied, no further correction computed
 evaluations of f                          420
 evaluations of grad f                     152
 evaluations of constraints               1721
 evaluations of grads of constraints       432
 final scaling of objective           1.000000e+00
 norm of grad(f)                      8.181865e+00
 lagrangian violation                 8.723359e-05
 feasibility violation                0.000000e+00
 dual feasibility violation           0.000000e+00
 optimizer runtime sec's              5.800000e-01


 optimal value of f =   3.16833807940341e+00

 optimal solution  x =
  2.42927819968812e+00  3.86193797403618e+00  7.40980353170069e+00
  1.96328874683831e+00  4.64734822346963e+00  1.27366971511684e+00
  4.38724057735114e+00  2.81209199982737e+00  1.82150574288236e+00
  1.92175705118120e+00  6.61595759296191e+00  6.32528763267937e-01

  multipliers are relativ to scf=1
  nr.    constraint      normgrad (or 1)   multiplier
    1   5.9708141e-11    1.1852158e+00    1.0654721e-03
    2   9.9956300e-10    5.4988104e+00    9.2438059e-01
    3   9.5178461e-09    5.4986622e+01    5.6350338e-02
    4   2.3292782e+02    1.0000000e+02    0.0000000e+00
    5   3.7619380e+02    1.0000000e+02    0.0000000e+00
    6   7.3098035e+02    1.0000000e+02    0.0000000e+00
    7   1.9532887e+02    1.0000000e+02    0.0000000e+00
    8   3.6473482e+02    1.0000000e+02    0.0000000e+00
    9   1.1736697e+02    1.0000000e+02    0.0000000e+00
   10   4.2872406e+02    1.0000000e+02    0.0000000e+00
   11   2.7120920e+02    1.0000000e+02    0.0000000e+00
   12   1.7215057e+02    1.0000000e+02    0.0000000e+00
   13   1.8217571e+02    1.0000000e+02    0.0000000e+00
   14   6.5159576e+02    1.0000000e+02    0.0000000e+00
   15   5.3252876e+01    1.0000000e+02    0.0000000e+00

 evaluations of restrictions and their gradients
 (   559,   124) (   582,   154) (   580,   154) (     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  3.725e+02
last estimate of condition of approx. hessian   2.933e+03
iterative steps total             153
# of restarts                       2
# of full regular updates         145
# of updates                      149
# of full regularized SQP-steps     0