NAG Library Manual, Mark 28.3
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E04UDF Example Program Results

Calls to e04ue
---------------

Infinite Bound Size = 1.0D+25
Print Level = 1
Verify Level = -1

OPTIONS file
------------

Begin   Example options file for  E04UDF
Major Iteration Limit   =  15      *  (Default =  50)
Minor Iteration Limit   =  10      *  (Default =  50)
End

*** e04uc

Parameters
----------

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

Infinite bound size....  1.00E+25       COLD start.............
Infinite step size.....  1.00E+25       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...........        -1

Major iterations limit.        15       Major print level......         1
Minor iterations limit.        10       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).

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
```