nag_opt_bounds_no_deriv (e04jbc) Example Program Results

Optional parameter setting for e04jbc.
--------------------------------------

Option file: e04jbce.opt

print_level set to Nag_Soln_Iter_Full
max_iter set to 40
step_max set to 4.00e+00

Parameters to e04jbc
--------------------

Number of variables...........   4

optim_tol...............  1.05e-06    linesearch_tol..........  5.00e-01
step_max................  4.00e+00    max_iter................        40
init_state.......... Nag_Init_None    local_search............      Nag_TRUE
print_level.... Nag_Soln_Iter_Full    machine precision.......  1.11e-16
outfile.................    stdout

Memory allocation:
delta...................       Nag
state...................       Nag
hesl....................       Nag    hesd...................        Nag
(User-supplied callback objfun, first invocation.)

Results from e04jbc:
-------------------

Iteration results:

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   0     0   2.1500e+02   1.4e+02   3.3e+00                            3.7e+00

 Variable         x                g          Status
    1         3.0000e+00       3.0600e+02    Upper Bound
    2        -1.0000e+00      -1.4400e+02    Free
    3         0.0000e+00      -2.0000e+00    Free
    4         1.0000e+00      -3.1000e+02    Lower Bound

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   1     6   1.6467e+02   3.2e+02   3.2e+00     7.0e-01      1.0e+00   2.1e+02

 Variable         x                g          Status
    1         3.0000e+00       3.1997e+02    Free
    2        -3.0174e-01      -5.5533e-01    Free
    3         3.5448e-02      -9.2316e+00    Free
    4         1.0000e+00      -3.1035e+02    Lower Bound

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   2     9   8.7285e+00   4.2e+01   1.4e+00     2.0e+00      6.3e-03   3.6e+00

 Variable         x                g          Status
    1         1.0000e+00       3.1997e+02    Lower Bound
    2        -3.0166e-01      -4.0542e+01    Free
    3         3.6453e-02      -9.2150e+00    Free
    4         1.0000e+00      -3.1035e+02    Lower Bound

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   3    13   2.9252e+00   7.9e+00   1.4e+00     3.3e-01      1.1e+00   5.0e+00

 Variable         x                g          Status
    1         1.0000e+00       3.1997e+02    Lower Bound
    2        -6.7556e-02       5.6219e+00    Free
    3         2.6655e-01      -5.6009e+00    Free
    4         1.0000e+00      -3.1035e+02    Lower Bound

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   4    17   2.4562e+00   1.5e+00   1.5e+00     1.7e-01      1.7e+00   5.3e+00

 Variable         x                g          Status
    1         1.0000e+00       3.1997e+02    Lower Bound
    2        -8.2099e-02       2.7295e-02    Free
    3         4.3958e-01       1.5017e+00    Free
    4         1.0000e+00      -3.1035e+02    Lower Bound

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   5    22   2.4356e+00   4.6e-01   1.5e+00     3.9e-02      1.0e+00   4.2e+00

 Variable         x                g          Status
    1         1.0000e+00       2.9810e-01    Lower Bound
    2        -8.5095e-02       1.9440e-01    Free
    3         4.0069e-01      -4.1992e-01    Free
    4         1.0000e+00       5.9931e+00    Lower Bound

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   6    28   2.4338e+00   4.7e-03   1.5e+00     8.7e-03      1.1e+00   4.4e+00

 Variable         x                g          Status
    1         1.0000e+00       2.9504e-01    Lower Bound
    2        -8.5248e-02      -4.0918e-03    Free
    3         4.0935e-01       2.3733e-03    Free
    4         1.0000e+00       5.9065e+00    Lower Bound

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   7    33   2.4338e+00   9.3e-05   1.5e+00     4.5e-05      1.0e+00   4.4e+00

 Variable         x                g          Status
    1         1.0000e+00       2.9535e-01    Lower Bound
    2        -8.5232e-02       8.5748e-05    Free
    3         4.0930e-01      -3.6655e-05    Free
    4         1.0000e+00       5.9070e+00    Lower Bound

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   8    40   2.4338e+00   6.3e-06   1.5e+00     7.0e-07      1.0e+00   4.4e+00

 Variable         x                g          Status
    1         1.0000e+00       2.9535e-01    Lower Bound
    2        -8.5233e-02      -5.7347e-06    Free
    3         4.0930e-01      -2.5644e-06    Free
    4         1.0000e+00       5.9070e+00    Lower Bound

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   9    47   2.4338e+00   1.4e-07   1.5e+00     7.5e-08      1.0e+00   4.4e+00

 Variable         x                g          Status
    1         1.0000e+00       2.9535e-01    Lower Bound
    2        -8.5233e-02       1.2801e-07    Free
    3         4.0930e-01       4.4636e-08    Free
    4         1.0000e+00       5.9070e+00    Lower Bound

Local search performed.

Final solution:

  Itn  Nfun  Objective    Norm g    Norm x  Norm(x(k-1)-x(k))  Step    Cond H
   9    64   2.4338e+00   1.4e-07   1.5e+00     0.0e+00      0.0e+00   4.4e+00

 Variable         x                g          Status
    1         1.0000e+00       2.9535e-01    Lower Bound
    2        -8.5233e-02       1.2801e-07    Free
    3         4.0930e-01       4.4636e-08    Free
    4         1.0000e+00       5.9070e+00    Lower Bound