nag_opt_handle_solve_pennon (e04svc) Example Program Results
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E04SV, NLP-SDP Solver (Pennon)
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Begin of Options
Print File = 6 * d
Print Level = 2 * d
Print Options = Yes * d
Monitoring File = -1 * d
Monitoring Level = 4 * d
Monitor Frequency = 0 * d
Infinite Bound Size = 1.00000E+20 * d
Task = Minimize * d
Stats Time = No * d
Dimacs Measures = Check * d
Hessian Density = Auto * d
Init Value P = 1.00000E+00 * d
Init Value Pmat = 1.00000E+00 * d
Initial P = Automatic * d
Initial U = Automatic * d
Initial X = Automatic * U
Inner Iteration Limit = 100 * d
Inner Stop Criteria = Heuristic * d
Inner Stop Tolerance = 1.00000E-02 * d
Linesearch Mode = Auto * d
Outer Iteration Limit = 100 * d
P Min = 1.05367E-08 * d
P Update Speed = 12 * d
Pmat Min = 1.05367E-08 * d
Preference = Speed * d
Presolve Block Detect = Yes * d
Stop Criteria = Soft * d
Stop Tolerance 1 = 1.00000E-06 * d
Stop Tolerance 2 = 1.00000E-07 * d
Stop Tolerance Feasibility = 1.00000E-07 * d
Transform Constraints = Auto * d
U Update Restriction = 5.00000E-01 * d
Umat Update Restriction = 3.00000E-01 * d
End of Options
Problem Statistics
No of variables 16
bounds not defined
No of lin. constraints 0
nonzeroes 0
No of matrix inequal. 1
detected matrix inq. 1
linear 1
nonlinear 0
max. dimension 10
detected normal inq. 0
linear 0
nonlinear 0
Objective function Linear
Begin of options modified by the solver
Hessian Density = Dense * S
Linesearch Mode = Fullstep * S
Transform Constraints = No * S
End of Options
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it| objective | optim | feas | compl | pen min |inner
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0 0.00000E+00 4.71E+01 1.00E+01 4.81E+01 1.60E+01 0
1 9.55399E+01 9.29E-03 0.00E+00 9.52E+01 1.60E+01 8
2 3.93849E+01 1.16E-03 0.00E+00 3.81E+01 6.63E+00 5
3 1.68392E+01 1.19E-02 0.00E+00 1.52E+01 2.75E+00 3
4 8.50544E+00 7.32E-04 0.00E+00 5.78E+00 1.14E+00 4
5 5.62254E+00 1.56E-02 0.00E+00 2.07E+00 4.72E-01 3
6 4.63348E+00 7.66E-03 0.00E+00 7.33E-01 1.96E-01 4
7 4.25322E+00 2.99E-03 0.00E+00 2.72E-01 8.11E-02 4
8 4.10154E+00 2.41E-03 0.00E+00 1.05E-01 3.36E-02 4
9 4.04076E+00 1.87E-03 0.00E+00 4.14E-02 1.39E-02 4
10 4.01631E+00 6.25E-03 0.00E+00 1.65E-02 5.77E-03 5
11 4.00656E+00 3.23E-03 0.00E+00 6.59E-03 2.39E-03 5
12 4.00263E+00 2.89E-03 0.00E+00 2.64E-03 9.91E-04 5
13 4.00106E+00 2.08E-03 0.00E+00 1.06E-03 4.11E-04 5
14 4.00042E+00 1.53E-03 0.00E+00 4.25E-04 1.70E-04 5
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it| objective | optim | feas | compl | pen min |inner
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15 4.00017E+00 1.30E-06 0.00E+00 1.70E-04 7.05E-05 6
16 4.00007E+00 7.48E-07 0.00E+00 6.82E-05 2.92E-05 6
17 4.00003E+00 3.20E-07 0.00E+00 2.73E-05 1.21E-05 6
18 4.00001E+00 1.31E-07 0.00E+00 1.10E-05 5.02E-06 6
19 4.00000E+00 5.15E-08 0.00E+00 4.39E-06 2.08E-06 6
20 4.00000E+00 1.92E-08 0.00E+00 1.76E-06 8.62E-07 6
21 4.00000E+00 7.13E-09 0.00E+00 7.05E-07 3.57E-07 6
22 4.00000E+00 2.09E-09 0.00E+00 2.82E-07 1.48E-07 6
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Status: converged, an optimal solution found
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Final objective value 4.000000E+00
Relative precision 8.450361E-08
Optimality 2.088293E-09
Feasibility 0.000000E+00
Complementarity 2.822749E-07
DIMACS error 1 1.044147E-09
DIMACS error 2 0.000000E+00
DIMACS error 3 0.000000E+00
DIMACS error 4 0.000000E+00
DIMACS error 5 3.294796E-08
DIMACS error 6 3.136387E-08
Iteration counts
Outer iterations 22
Inner iterations 112
Linesearch steps 308
Evaluation counts
Augm. Lagr. values 135
Augm. Lagr. gradient 135
Augm. Lagr. hessian 112
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The solver chose to use DENSE hessian and FULLSTEP as linesearch.
Lovasz theta number of the given graph is 4.00.