hs101xxx.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 16:54:14 2000
hs101

     n=         7    nh=         0    ng=        20

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

startvalue
  6.0000000e+00   6.0000000e+00   6.0000000e+00   6.0000000e+00   6.0000000e+00 
  6.0000000e+00   6.0000000e+00 

  eps=  2.22e-16  tol= 1.98e-323 del0=  5.00e-02 delm=  5.00e-08 tau0=  5.00e-02
  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-08
  nre=         7 anal=         1

 termination reason:
 KT-conditions satisfied, no further correction computed
 evaluations of f                          164
 evaluations of grad f                      64
 evaluations of constraints               1264
 evaluations of grads of constraints       261
 final scaling of objective           7.047515e-04
 norm of grad(f)                      2.118690e+04
 lagrangian violation                 1.394429e-01
 feasibility violation                0.000000e+00
 dual feasibility violation           0.000000e+00
 optimizer runtime sec's              2.600000e-01


 optimal value of f =   1.80976820917893e+03

 optimal solution  x =
  2.85605057841115e+00  6.10817329214800e-01  2.15074293020438e+00
  4.71326203849354e+00  9.99506007470803e-01  1.34757940273506e+00
  3.16548626295531e-02

  multipliers are relativ to scf=1
  nr.    constraint      normgrad (or 1)   multiplier
    1   3.0992170e-04    1.0000000e+00    0.0000000e+00
    2   5.5834625e-10    1.0000000e+00    3.7643337e+06
    3   2.9161764e-10    1.0000000e+00    4.5672779e+06
    4   6.1311574e-04    1.0000000e+00    0.0000000e+00
    5   1.7097682e+03    1.0000000e+00    0.0000000e+00
    6   1.1902318e+03    1.0000000e+00    0.0000000e+00
    7   2.7560506e+00    1.0000000e+00    0.0000000e+00
    8   5.1081733e-01    1.0000000e+00    0.0000000e+00
    9   2.0507429e+00    1.0000000e+00    0.0000000e+00
   10   4.6132620e+00    1.0000000e+00    0.0000000e+00
   11   8.9950601e-01    1.0000000e+00    0.0000000e+00
   12   1.2475794e+00    1.0000000e+00    0.0000000e+00
   13   2.1654863e-02    1.0000000e+00    0.0000000e+00
   14   7.1439494e+00    1.0000000e+00    0.0000000e+00
   15   9.3891827e+00    1.0000000e+00    0.0000000e+00
   16   7.8492571e+00    1.0000000e+00    0.0000000e+00
   17   5.2867380e+00    1.0000000e+00    0.0000000e+00
   18   9.0004940e+00    1.0000000e+00    0.0000000e+00
   19   8.6524206e+00    1.0000000e+00    0.0000000e+00
   20   9.9683451e+00    1.0000000e+00    0.0000000e+00

 evaluations of restrictions and their gradients
 (   261,    66) (   246,    66) (   206,    66) (   195,    63) (   179,     0)
 (   177,     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  5.293e+00
last estimate of condition of approx. hessian   1.760e+03
iterative steps total              65
# of restarts                       1
# of full regular updates          60
# of updates                       62
# of full regularized SQP-steps     0