hs102xxx.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 16:54:20 2000
hs102

     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                          272
 evaluations of grad f                      93
 evaluations of constraints               2003
 evaluations of grads of constraints       379
 final scaling of objective           1.523225e-04
 norm of grad(f)                      7.038797e+03
 lagrangian violation                 1.526641e-02
 feasibility violation                1.667887e-13
 dual feasibility violation           0.000000e+00
 optimizer runtime sec's              3.800000e-01


 optimal value of f =   9.11880572242915e+02

 optimal solution  x =
  3.89624949420861e+00  8.09358757931299e-01  2.66438412311255e+00
  4.30091632675412e+00  8.53554779418027e-01  1.09528783539576e+00
  2.73105207657352e-02

  multipliers are relativ to scf=1
  nr.    constraint      normgrad (or 1)   multiplier
    1   6.7998463e-13    1.0000000e+00    2.1132352e+04
    2   6.8363795e-13    1.0000000e+00    1.6959558e+06
    3  -1.6678870e-13    1.0000000e+00    2.1731657e+06
    4   1.8832713e-04    1.0000000e+00    0.0000000e+00
    5   8.1188057e+02    1.0000000e+00    0.0000000e+00
    6   2.0881194e+03    1.0000000e+00    0.0000000e+00
    7   3.7962495e+00    1.0000000e+00    0.0000000e+00
    8   7.0935876e-01    1.0000000e+00    0.0000000e+00
    9   2.5643841e+00    1.0000000e+00    0.0000000e+00
   10   4.2009163e+00    1.0000000e+00    0.0000000e+00
   11   7.5355478e-01    1.0000000e+00    0.0000000e+00
   12   9.9528784e-01    1.0000000e+00    0.0000000e+00
   13   1.7310521e-02    1.0000000e+00    0.0000000e+00
   14   6.1037505e+00    1.0000000e+00    0.0000000e+00
   15   9.1906412e+00    1.0000000e+00    0.0000000e+00
   16   7.3356159e+00    1.0000000e+00    0.0000000e+00
   17   5.6990837e+00    1.0000000e+00    0.0000000e+00
   18   9.1464452e+00    1.0000000e+00    0.0000000e+00
   19   8.9047122e+00    1.0000000e+00    0.0000000e+00
   20   9.9726895e+00    1.0000000e+00    0.0000000e+00

 evaluations of restrictions and their gradients
 (   398,    95) (   392,    95) (   331,    95) (   311,    94) (   286,     0)
 (   285,     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  3.818e+00
last estimate of condition of approx. hessian   9.173e+02
iterative steps total              94
# of restarts                       4
# of full regular updates          87
# of updates                       88
# of full regularized SQP-steps     0