nmcfqmhh.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 16:54:40 2000
nmcfqmhh

     n=         2    nh=         1    ng=         2

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

startvalue
 -4.0000000e-01  -4.0000000e-01 

  eps=  2.22e-16  tol= 1.98e-323 del0=  5.00e-01 delm=  5.00e-07 tau0=  5.00e-01
  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-16
  nre=         4 anal=         1

 termination reason:
 stepsizeselection: directional deriv. very small, infeasible
 evaluations of f                            0
 evaluations of grad f                       0
 evaluations of constraints                  6
 evaluations of grads of constraints         6
 final scaling of objective           0.000000e+00
 norm of grad(f)                      0.000000e+00
 lagrangian violation                 9.155134e-16
 feasibility violation                1.000000e+00
 dual feasibility violation           0.000000e+00
 optimizer runtime sec's              3.000000e-02


 optimal value of f =   0.00000000000000e+00

 optimal solution  x =
  4.44089209850063e-16 -1.11022302462516e-16

  multipliers are relativ to scf=1
  nr.    constraint      normgrad (or 1)   multiplier
    1  -1.0000000e+00    1.0000000e+00    0.0000000e+00
    2   4.4408921e-16    1.0000000e+00    0.0000000e+00
    3  -1.1102230e-16    1.0000000e+00    0.0000000e+00

 evaluations of restrictions and their gradients
 (     2,     2) (     2,     2) (     2,     2)
last estimate of condition of active gradients  1.000e+00
last estimate of condition of approx. hessian   1.000e+00
iterative steps total               2
# of restarts                       0
# of full regular updates           0
# of updates                        0
# of full regularized SQP-steps     2
   1  fx=  0.000000e+00 scf=  0.000000e+00 psi=  1.480000e+00 ups=  1.480000e+00
     del=  5.000000e-05 b20=  0.000000e+00 b2n=  0.000000e+00  nr=    3
      si=   1            u-=  0.000000e+00 c-r=  1.933701e+00 c-d=  1.000000e+00
      xn=  5.656854e-01  dn=  5.656854e-01 pha=  -1            cl=             1
     skm=  1.901200e+01 sig=  1.000000e+00 cf+=    0          dir= -7.964800e+00
     dsc=  1.000000e+00 cos=  0.000000e+00 vio=    0
     upd=    0           tk=  0.000000e+00 xsi=  0.000000e+00
     qpt=         1e+00 tqp=  1.000000e+01 sla=  1.320000e+00
   2  fx=  0.000000e+00 scf=  0.000000e+00 psi=  1.132000e+01 ups=  1.000000e+00
     del=  5.000000e-05 b20=  0.000000e+00 b2n=  0.000000e+00  nr=    3
      si=   1            u-=  0.000000e+00 c-r=  1.000000e+00 c-d=  1.000000e+00
      xn=  0.000000e+00  dn=  0.000000e+00 pha=   0            cl=             1
     skm=  1.000000e+00 sig=  0.000000e+00 cf+=    0          dir=  0.000000e+00
     dsc=  0.000000e+00 cos=  0.000000e+00 vio=    0
     upd=    0           tk=  0.000000e+00 xsi=  0.000000e+00
     qpt=        -1e+00 tqp=  1.000000e+08 sla=  1.000000e+00