hs103xxx.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 16:54:28 2000
hs103

     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                          109
 evaluations of grad f                      48
 evaluations of constraints                826
 evaluations of grads of constraints       200
 final scaling of objective           3.914294e-04
 norm of grad(f)                      5.246255e+03
 lagrangian violation                 9.595224e-03
 feasibility violation                6.098637e-19
 dual feasibility violation           0.000000e+00
 optimizer runtime sec's              1.900000e-01


 optimal value of f =   5.43667958466640e+02

 optimal solution  x =
  4.39410500996040e+00  8.54468567975731e-01  2.84323162078631e+00
  3.39997894506690e+00  7.22926482452242e-01  8.70406596402031e-01
  2.46388453046367e-02

  multipliers are relativ to scf=1
  nr.    constraint      normgrad (or 1)   multiplier
    1   5.4210109e-19    1.0000000e+00    3.8705037e+04
    2  -5.1499603e-19    1.0000000e+00    8.3411492e+05
    3   3.9302329e-19    1.0000000e+00    1.2873211e+06
    4  -9.4867690e-20    1.0000000e+00    8.6766733e+04
    5   4.4366796e+02    1.0000000e+00    0.0000000e+00
    6   2.4563320e+03    1.0000000e+00    0.0000000e+00
    7   4.2941050e+00    1.0000000e+00    0.0000000e+00
    8   7.5446857e-01    1.0000000e+00    0.0000000e+00
    9   2.7432316e+00    1.0000000e+00    0.0000000e+00
   10   3.2999789e+00    1.0000000e+00    0.0000000e+00
   11   6.2292648e-01    1.0000000e+00    0.0000000e+00
   12   7.7040660e-01    1.0000000e+00    0.0000000e+00
   13   1.4638845e-02    1.0000000e+00    0.0000000e+00
   14   5.6058950e+00    1.0000000e+00    0.0000000e+00
   15   9.1455314e+00    1.0000000e+00    0.0000000e+00
   16   7.1567684e+00    1.0000000e+00    0.0000000e+00
   17   6.6000211e+00    1.0000000e+00    0.0000000e+00
   18   9.2770735e+00    1.0000000e+00    0.0000000e+00
   19   9.1295934e+00    1.0000000e+00    0.0000000e+00
   20   9.9753612e+00    1.0000000e+00    0.0000000e+00

 evaluations of restrictions and their gradients
 (   161,    50) (   161,    50) (   141,    50) (   135,    50) (   114,     0)
 (   114,     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  2.856e+00
last estimate of condition of approx. hessian   4.299e+03
iterative steps total              49
# of restarts                       1
# of full regular updates          44
# of updates                       46
# of full regularized SQP-steps     0