E04US_T1W_F Example Program Results
*** e04us
Parameters
----------
Linear constraints..... 1 Variables.............. 2
Nonlinear constraints.. 1 Subfunctions........... 44
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...... 10
Minor iterations limit. 50 Minor print level...... 0
J'J initial Hessian.... Reset frequency........ 2
Workspace provided is IWORK( 9), WORK( 306).
To solve problem we need IWORK( 9), WORK( 306).
Verification of the constraint gradients.
-----------------------------------------
The constraint Jacobian seems to be ok.
The largest relative error was 1.89E-08 in constraint 1
Verification of the objective gradients.
----------------------------------------
The objective Jacobian seems to be ok.
The largest relative error was 1.04E-08 in subfunction 3
Maj Mnr Step Merit Function Norm Gz Violtn Cond Hz
0 2 0.0E+00 2.224070E-02 8.5E-02 3.6E-02 1.0E+00
1 1 1.0E+00 1.455402E-02 1.5E-03 9.8E-03 1.0E+00
2 1 1.0E+00 1.436491E-02 4.9E-03 7.2E-04 1.0E+00
3 1 1.0E+00 1.427013E-02 2.9E-03 9.2E-06 1.0E+00
4 1 1.0E+00 1.422989E-02 1.6E-04 3.6E-05 1.0E+00
5 1 1.0E+00 1.422983E-02 5.4E-07 6.4E-08 1.0E+00
6 1 1.0E+00 1.422983E-02 3.4E-09 9.8E-13 1.0E+00
Exit from NP problem after 6 major iterations,
8 minor iterations.
Varbl State Value Lower Bound Upper Bound Lagr Mult Slack
V 1 FR 0.419953 0.400000 None . 1.9953E-02
V 2 FR 1.28485 -4.00000 None . 5.285
L Con State Value Lower Bound Upper Bound Lagr Mult Slack
L 1 FR 1.70480 1.00000 None . 0.7048
N Con State Value Lower Bound Upper Bound Lagr Mult Slack
N 1 LL -9.767742E-13 . None 3.3358E-02 -9.7677E-13
Exit e04us - Optimal solution found.
Final objective value = 0.1422983E-01
*** e04us
Parameters
----------
Linear constraints..... 1 Variables.............. 2
Nonlinear constraints.. 1 Subfunctions........... 44
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
J'J initial Hessian.... Reset frequency........ 2
Workspace provided is IWORK( 9), WORK( 306).
To solve problem we need IWORK( 9), WORK( 306).
Verification of the constraint gradients.
-----------------------------------------
The constraint Jacobian seems to be ok.
The largest relative error was 1.89E-08 in constraint 1
Verification of the objective gradients.
----------------------------------------
The objective Jacobian seems to be ok.
The largest relative error was 1.04E-08 in subfunction 3
Exit from NP problem after 6 major iterations,
8 minor iterations.
Varbl State Value Lower Bound Upper Bound Lagr Mult Slack
V 1 FR 0.419953 0.400000 None . 1.9953E-02
V 2 FR 1.28485 -4.00000 None . 5.285
L Con State Value Lower Bound Upper Bound Lagr Mult Slack
L 1 FR 1.70480 1.00000 None . 0.7048
N Con State Value Lower Bound Upper Bound Lagr Mult Slack
N 1 LL -9.767742E-13 . None 3.3358E-02 -9.7677E-13
Exit e04us - Optimal solution found.
Final objective value = 0.1422983E-01
Optimal solution = 0.01423
Solution point, x
1 2
1 0.4200 1.2848
Derivatives calculated: First order tangents
Computational mode : algorithmic
Derivatives:
dx(1)/druser(1:44)
1 2 3 4 5
1 1.9939E-23 0.0000E+00 4.9441E-04 4.2804E-04 4.9441E-04
6 7 8 9 10
1 4.2804E-04 5.3633E-05 5.3633E-05 4.3470E-05 2.3145E-05
11 12 13 14 15
1 4.5591E-06 2.2250E-06 2.2250E-06 3.1985E-07 2.0070E-07
16 17 18 19 20
1 2.0070E-07 5.1842E-08 4.0433E-08 4.5616E-10 4.5616E-10
21 22 23 24 25
1 1.5065E-09 -6.6867E-11 -6.6867E-11 -1.6147E-10 -4.2932E-13
26 27 28 29 30
1 -1.7526E-11 -1.7526E-11 -1.7431E-12 -2.5707E-12 -1.7431E-12
31 32 33 34 35
1 -4.7075E-13 -5.7168E-13 -1.6597E-13 -1.6597E-13 -2.0317E-13
36 37 38 39 40
1 -4.8052E-14 -5.2918E-14 -1.7234E-14 -5.1440E-15 -6.5606E-15
41 42 43 44
1 -1.8226E-15 -1.8226E-15 -6.3729E-16 -2.0483E-16