NAG Library Manual, Mark 28.7
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E04UC_A1W_F Example Program Results

*** e04uc

Parameters
----------

Linear constraints.....         1       Variables..............         4
Nonlinear constraints..         2

Infinite bound size....  1.00E+20       COLD start.............
Infinite step size.....  1.00E+20       EPS (machine precision)  1.11E-16
Step limit.............  2.00E+00       Hessian................        NO

Linear feasibility.....  1.05E-08       Crash tolerance........  1.00E-02
Nonlinear feasibility..  1.05E-08       Optimality tolerance...  3.26E-12
Line search tolerance..  9.00E-01       Function precision.....  4.37E-15

Derivative level.......         3       Monitoring file........        -1
Verify level...........         0

Major iterations limit.        50       Major print level......         1
Minor iterations limit.        50       Minor print level......         0

Start point
1.000000E+00   5.000000E+00   5.000000E+00   1.000000E+00

Workspace provided is     IWORK(      17),  WORK(     185).
To solve problem we need  IWORK(      17),  WORK(     185).

-----------------------------------------

The constraint Jacobian seems to be ok.

The largest relative error was    2.29E-07  in constraint    2

----------------------------------------

The objective gradients seem to be ok.

Directional derivative of the objective    8.15250000E-01
Difference approximation                   8.15249734E-01

Exit from NP problem after     5 major iterations,
9 minor iterations.

Varbl State     Value       Lower Bound   Upper Bound    Lagr Mult   Slack

V   1    LL    1.00000       1.00000       5.00000       1.088         .
V   2    FR    4.74300       1.00000       5.00000           .      0.2570
V   3    FR    3.82115       1.00000       5.00000           .       1.179
V   4    FR    1.37941       1.00000       5.00000           .      0.3794

L Con State     Value       Lower Bound   Upper Bound    Lagr Mult   Slack

L   1    FR    10.9436          None       20.0000           .       9.056

N Con State     Value       Lower Bound   Upper Bound    Lagr Mult   Slack

N   1    UL    40.0000          None       40.0000     -0.1615     -3.5264E-11
N   2    LL    25.0000       25.0000          None      0.5523     -2.8791E-11

Exit e04uc  - Optimal solution found.

Final objective value =    17.01402