dembo7xx.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 16:54:00 2000
dembo7

     n=        16    nh=         0    ng=        51

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

startvalue
  8.0000000e-01   8.3000000e-01   8.5000000e-01   8.7000000e-01   9.0000000e-01 
  1.0000000e-01   1.2000000e-01   1.9000000e-01   2.5000000e-01   2.9000000e-01 
  5.1200000e+00   1.3100000e-01   7.1800000e-01   6.4000000e+00   6.5000000e+00 
  5.7000000e-02 

  eps=  2.22e-16  tol= 1.98e-323 del0=  5.00e-03 delm=  5.00e-09 tau0=  9.00e-03
  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=        16 anal=         1

 termination reason:
 correction very small, almost feasible but singular point
 evaluations of f                          147
 evaluations of grad f                      81
 evaluations of constraints               3684
 evaluations of grads of constraints       911
 final scaling of objective           1.000000e+00
 norm of grad(f)                      8.768772e+00
 lagrangian violation                 1.692147e-08
 feasibility violation                2.030820e-12
 dual feasibility violation           0.000000e+00
 optimizer runtime sec's              1.250000e+00


 optimal value of f =   1.74911058051906e+00

 optimal solution  x =
  7.24515715199819e-01  8.03773159694372e-01  9.00000000000000e-01
  9.00000000000000e-01  9.00000000000000e-01  7.74562414364494e-02
  1.00000001249032e-01  1.90836734693875e-01  1.90836734693875e-01
  1.90836734693875e-01  4.84771301489083e+00  1.00000000000000e-08
  7.40996382244602e-01  5.00000000000000e+00  5.00000000000000e+00
  1.00000000000000e-08

  multipliers are relativ to scf=1
  nr.    constraint      normgrad (or 1)   multiplier
    1   6.2451572e-01    1.0000000e+00    0.0000000e+00
    2   7.0377316e-01    1.0000000e+00    0.0000000e+00
    3   8.0000000e-01    1.0000000e+00    0.0000000e+00
    4   8.0000000e-01    1.0000000e+00    0.0000000e+00
    5   0.0000000e+00    1.0000000e+00    0.0000000e+00
    6   7.7356241e-02    1.0000000e+00    0.0000000e+00
    7   1.2490319e-09    1.0000000e+00    0.0000000e+00
    8   9.0836735e-02    1.0000000e+00    0.0000000e+00
    9   9.0836735e-02    1.0000000e+00    0.0000000e+00
   10   9.0836735e-02    1.0000000e+00    0.0000000e+00
   11   4.8377130e+00    1.0000000e+00    0.0000000e+00
   12   0.0000000e+00    1.0000000e+00    8.2747535e-02
   13   7.3099638e-01    1.0000000e+00    0.0000000e+00
   14   0.0000000e+00    1.0000000e+00    4.2561963e-01
   15   0.0000000e+00    1.0000000e+00    5.2672345e-01
   16   0.0000000e+00    1.0000000e+00    1.5467200e-01
   17   1.7548428e-01    1.0000000e+00    0.0000000e+00
   18   9.6226840e-02    1.0000000e+00    0.0000000e+00
   19   0.0000000e+00    1.0000000e+00    0.0000000e+00
   20   0.0000000e+00    1.0000000e+00    3.5321279e+00
   21   1.0000000e-01    1.0000000e+00    0.0000000e+00
   22   2.2543759e-02    1.0000000e+00    0.0000000e+00
   23   8.0000000e-01    1.0000000e+00    0.0000000e+00
   24   7.0916327e-01    1.0000000e+00    0.0000000e+00
   25   7.0916327e-01    1.0000000e+00    0.0000000e+00
   26   7.0916327e-01    1.0000000e+00    0.0000000e+00
   27   5.1522870e+00    1.0000000e+00    0.0000000e+00
   28   5.0000000e+00    1.0000000e+00    0.0000000e+00
   29   4.2590036e+00    1.0000000e+00    0.0000000e+00
   30   5.0000000e+00    1.0000000e+00    0.0000000e+00
   31   5.0000000e+00    1.0000000e+00    0.0000000e+00
   32   5.0000000e+00    1.0000000e+00    0.0000000e+00
   33   3.4626160e-02    3.5739669e+00    0.0000000e+00
   34   8.4376950e-15    2.4573341e+00    1.0657466e+00
   35  -1.5543122e-15    1.2436032e+00    3.9854001e+00
   36  -1.3322676e-15    1.2436032e+00    0.0000000e+00
   37  -1.3322676e-15    1.2436032e+00    1.1557844e-08
   38   2.2543758e-01    1.1915764e+01    0.0000000e+00
   39  -2.0261570e-12    8.0686244e+00    4.3996180e-01
   40   3.8613557e-13    1.5412556e+00    4.5335053e+00
   41  -4.4408921e-16    2.2333701e+00    2.3608549e+00
   42   0.0000000e+00    1.0000000e+00    0.0000000e+00
   43   1.1102230e-16    1.1111111e+00    0.0000000e+00
   44   3.0457399e-02    1.0000000e+00    0.0000000e+00
   45   1.0000000e+00    1.0000000e+00    0.0000000e+00
   46   0.0000000e+00    1.5713484e+00    0.0000000e+00
   47   0.0000000e+00    1.5713484e+00    0.0000000e+00
   48   1.0691871e-01    1.7044086e+00    0.0000000e+00
   49   9.8606732e-02    1.0000000e+00    0.0000000e+00
   50   1.1102230e-16    7.4105940e+00    5.0059759e-01
   51   5.5511151e-16    7.4105940e+00    5.0059759e-01

 evaluations of restrictions and their gradients
 (     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,     0) (     0,     0) (     0,     0) (     0,     0) (     0,     0)
 (     0,     0) (     0,     0) (     0,     0) (     0,     0) (     0,     0)
 (     0,     0) (     0,     0) (   382,    58) (   251,    69) (   225,    38)
 (   210,    33) (   203,    80) (   196,    67) (   195,    68) (   184,    85)
 (   170,    85) (   167,    74) (   167,    81) (   167,     3) (   167,     0)
 (   167,    50) (   167,    11) (   167,    17) (   167,     0) (   167,    79)
 (   165,    13)
last estimate of condition of active gradients  2.650e+01
last estimate of condition of approx. hessian   1.000e+00
iterative steps total              86
# of restarts                       6
# of full regular updates          52
# of updates                       73
# of full regularized SQP-steps    47