E04MZF Example Program Results
Parameters
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Files
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Solution file.......... 0 Old basis file ........ 0 (Print file)........... 6
Insert file............ 0 New basis file ........ 0 (Summary file)......... 0
Punch file............. 0 Backup basis file...... 0
Load file.............. 0 Dump file.............. 0
Frequencies
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Print frequency........ 100 Check frequency........ 60 Save new basis map..... 100
Summary frequency...... 100 Factorization frequency 50 Expand frequency....... 10000
LP/QP Parameters
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Minimize............... QPsolver Cholesky...... Cold start.............
Scale tolerance........ 0.900 Feasibility tolerance.. 1.00E-06 Iteration limit........ 10000
Scale option........... 2 Optimality tolerance... 1.00E-06 Print level............ 1
Crash tolerance........ 0.100 Pivot tolerance........ 2.04E-11 Partial price.......... 1
Crash option........... 3 Elastic weight......... 1.00E+00 Prtl price section ( A) 9
Elastic mode........... 1 Elastic objective...... 1 Prtl price section (-I) 4
QP objective
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Objective variables.... 5 Hessian columns........ 5 Superbasics limit...... 6
Nonlin Objective vars.. 5 Unbounded step size.... 1.00E+20
Linear Objective vars.. 0
Miscellaneous
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LU factor tolerance.... 3.99 LU singularity tol..... 2.04E-11 Timing level........... 0
LU update tolerance.... 3.99 LU swap tolerance...... 1.03E-04 Debug level............ 0
LU partial pivoting... eps (machine precision) 1.11E-16 System information..... No
Matrix statistics
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Total Normal Free Fixed Bounded
Rows 4 0 1 0 3
Columns 9 0 0 0 9
No. of matrix elements 36 Density 100.000
Biggest 4.0000E+00 (excluding fixed columns,
Smallest 1.0000E+00 free rows, and RHS)
No. of objective coefficients 9
Biggest 4.0000E+00 (excluding fixed columns)
Smallest 1.0000E-01
Nonlinear constraints 0 Linear constraints 4
Nonlinear variables 5 Linear variables 4
Jacobian variables 0 Objective variables 5
Total constraints 4 Total variables 9
This is the E04MZF example. NCOLH = 5.
Itn 0: Feasible linear constraints
E04NQT EXIT 0 -- finished successfully
E04NQT INFO 1 -- optimality conditions satisfied
Problem name
No. of iterations 11 Objective value -8.0677777778E+00
No. of Hessian products 25 Objective row -1.0785555556E+01
Quadratic objective 2.7177777778E+00
No. of superbasics 4 No. of basic nonlinears 2
No. of degenerate steps 2 Percentage 18.18
Max x (scaled) 1 1.3E+00 Max pi (scaled) 4 1.0E+00
Max x 1 2.0E+00 Max pi 4 1.0E+00
Max Prim inf(scaled) 0 0.0E+00 Max Dual inf(scaled) 5 2.2E-16
Max Primal infeas 0 0.0E+00 Max Dual infeas 5 1.6E-16
Name Objective Value -8.0677777778E+00
Status Optimal Soln Iteration 11 Superbasics 4
Section 1 - Rows
Number ...Row.. State ...Activity... Slack Activity ..Lower Limit. ..Upper Limit. .Dual Activity ..i
10 ..ROW1.. UL 1.50000 . -2.00000 1.50000 -0.06667 1
11 ..ROW2.. UL 1.50000 . -2.00000 1.50000 -0.03333 2
12 ..ROW3.. SBS 3.93333 -0.06667 -2.00000 4.00000 . 3
13 ..COST.. BS -10.78556 -10.78556 None None -1.0 4
Section 2 - Columns
Number .Column. State ...Activity... .Obj Gradient. ..Lower Limit. ..Upper Limit. Reduced Gradnt m+j
1 ...X1... UL 2.00000 -0.90000 -2.00000 2.00000 -0.80000 5
2 ...X2... SBS -0.23333 -0.13333 -2.00000 2.00000 . 6
3 ...X3... BS -0.26667 -0.16667 -2.00000 2.00000 . 7
4 ...X4... BS -0.30000 -0.20000 -2.00000 2.00000 0.00000 8
5 ...X5... SBS -0.10000 . -2.00000 2.00000 0.00000 9
6 ...X6... UL 2.00000 -1.0 -2.00000 2.00000 -0.90000 10
7 ...X7... UL 2.00000 -1.0 -2.00000 2.00000 -0.90000 11
8 ...X8... SBS -1.77778 -0.10000 -2.00000 2.00000 0.00000 12
9 ...X9... BS -0.45556 -0.30000 -2.00000 2.00000 0.00000 13
Finished the E04MZF example.