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snoptmain.out
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snoptmain.out
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Timing level 3
Hessian Limited Memory
LU Partial Pivoting
Verify Level -1
Iteration Limit 1000000
Major Iterations Limit 100000
Minor Iterations Limit 100000
Major Optimality Tolerance 1.00000000E-06
Major Feasibility Tolerance 2.00000000E-06
1
Parameters
==========
Files
-----
Solution file.......... 0 Old basis file ........ 0 Standard input......... 5
Insert file............ 0 New basis file ........ 0 (Printer).............. 9
Punch file............. 0 Backup basis file...... 0 (Specs file)........... 0
Load file.............. 0 Dump file.............. 0 Standard output........ 6
Frequencies
-----------
Print frequency........ 100 Check frequency........ 60 Save new basis map..... 100
Summary frequency...... 100 Factorization frequency 50 Expand frequency....... 10000
QP subproblems
--------------
QPsolver Cholesky......
Scale tolerance........ .900 Minor feasibility tol.. 1.00E-06 Iteration limit........ 1000000
Scale option........... 0 Minor optimality tol.. 5.00E-07 Minor print level...... 1
Crash tolerance........ .100 Pivot tolerance........ 3.25E-11 Partial price.......... 1
Crash option........... 3 Elastic weight......... 1.00E+04 Prtl price section ( A) 106
New superbasics........ 99 Prtl price section (-I) 142
The SQP Method
--------------
Minimize............... Cold start............. Proximal Point method.. 1
Nonlinear objectiv vars 106 Objective Row.......... 1 Function precision..... 3.00E-13
Unbounded step size.... 1.00E+20 Superbasics limit...... 106 Difference interval.... 5.48E-07
Unbounded objective.... 1.00E+15 Reduced Hessian dim.... 106 Central difference int. 6.70E-05
Major step limit....... 2.00E+00 Derivative linesearch.. Derivative option...... 1
Major iterations limit. 100000 Linesearch tolerance... .90000 Verify level........... -1
Minor iterations limit. 100000 Penalty parameter...... 0.00E+00 Major Print Level...... 1
Major optimality tol... 1.00E-06
Hessian Approximation
---------------------
Limited-Memory Hessian. Hessian updates........ 10 Hessian frequency...... 99999999
Hessian flush.......... 99999999
Nonlinear constraints
---------------------
Nonlinear constraints.. 140 Major feasibility tol.. 2.00E-06 Violation limit........ 1.00E+06
Nonlinear Jacobian vars 106
Miscellaneous
-------------
LU factor tolerance.... 3.99 LU singularity tol..... 3.25E-11 Timing level........... 0
LU update tolerance.... 3.99 LU swap tolerance...... 1.22E-04 Debug level............ 0
LU partial pivoting... eps (machine precision) 2.22E-16 System information..... No
Sticky parameters...... Yes
1
Matrix statistics
-----------------
Total Normal Free Fixed Bounded
Rows 142 1 1 80 60
Columns 106 0 0 9 97
No. of matrix elements 4182 Density 27.784
Biggest constant element 1.0000E+00 (excluding fixed columns,
Smallest constant element 1.0000E+00 free rows, and RHS)
No. of objective coefficients 0
Nonlinear constraints 140 Linear constraints 2
Nonlinear variables 106 Linear variables 0
Jacobian variables 106 Objective variables 106
Total constraints 142 Total variables 106
1
The user has defined 2686 out of 2686 first derivatives
1
Itn QPmult QPstep nInf SumInf rgNorm Elastic QPobj +SBS -SBS -BS Pivot L+U ncp nS condHz
100 -9.6E+06 3.6E-05 2 1.8E+01 7.4391445E+07 151 151 236 3.2E+01 3009 1
Itns Major Minors Step nCon Feasible Optimal MeritFunction L+U BSwap nS condHz Penalty
102 0 102 1 3.8E+00 2.0E+00 9.8720589E+09 3087 _ r i
103 1 1 3.4E-02 2 3.3E+00 2.0E+00 7.0057927E+09 2877 _n rli
137 2 34 3.5E-02 4 2.9E+00 2.0E+00 4.6080694E+09 3393 10 2.2E+01 _sM li
Itn LPmult LPstep nInf SumInf Elastic LPobj +SBS -SBS -BS Pivot L+U ncp
237 -5.8E-01 9.6E-01 26 1.3E+04 95 95 55 -2.2E-01 3544 1
337 -5.2E+06 2.4E-01 16 7.0E+02 4.0E+06 3.1881038E+09 156 155 90 -6.4E-01 3255 1 1 7.9E+06
437 -1.0E+07 4.6E-01 6 8.1E+01 1.4E+07 4.8807496E+08 93 93 91 5.0E+00 3628 2 1 4.3E+07
Itns Major Minors Step nCon Feasible Optimal MeritFunction L+U BSwap nS condHz Penalty
512 3 375 1.0E+00 6 2.2E-01 7.5E+00 -7.6012312E+07 3153 14 1.6E+03 _ m
517 4 5 1.0E+00 7 7.8E-02 6.8E+00 2.6284560E+06 2613 8 15 6.6E+02 3.7E+04 _
525 5 8 1.0E+00 9 2.3E-03 2.2E+00 -1.8826809E+05 2792 17 7.1E+02 2.2E+02 _ M
538 6 13 1.0E+00 11 2.5E-05 3.9E+00 1.0533369E+04 2887 8 5.6E+02 3.2E+06 _sM
550 7 12 3.1E-01 15 5.1E-03 4.2E+01 1.0096990E+04 2450 12 1.1E+03 7.7E+03 _ m
564 8 14 2.5E-01 17 5.6E-03 2.3E+01 9.8091897E+03 2600 11 1.3E+05 6.1E+02 _
571 9 7 1.8E-01 19 4.7E-03 1.6E+01 9.8202075E+03 2387 12 1.2E+05 3.0E+02 _
576 10 5 4.2E-01 22 3.8E-03 1.3E+01 9.8490547E+03 2387 14 9.9E+02 5.4E+02 _ M
581 11 5 6.0E-01 25 4.5E-03 1.7E+01 9.6977227E+03 2387 11 4.4E+03 4.8E+02 _ m
584 12 3 3.0E-01 28 3.6E-03 5.5E+01 9.7502701E+03 2387 13 1.2E+04 7.3E+02 _ mR
585 13 1 1.0E+00 29 6.4E-05 9.2E+00 9.7401032E+03 2656 8 13 1.6E+02 4.8E+03 _s
587 14 2 1.0E+00 30 7.6E-04 5.2E+00 9.6933124E+03 2731 12 2.0E+02 1.0E+03 _
588 15 1 1.0E+00 31 1.9E-03 5.5E+00 9.6506495E+03 2770 12 2.3E+02 8.9E+02 _
589 16 1 1.0E+00 32 1.7E-04 1.2E+01 9.6240788E+03 2776 12 2.8E+02 8.9E+02 _
591 17 2 1.0E+00 33 6.9E-04 6.6E+00 9.6015862E+03 2770 13 1.2E+03 8.9E+02 _
592 18 1 1.0E+00 34 4.9E-04 4.5E+00 9.5905992E+03 2770 13 1.2E+03 8.9E+02 _
594 19 2 1.0E+00 35 5.6E-05 4.8E+00 9.5843692E+03 2809 12 2.6E+02 8.9E+02 _
Itns Major Minors Step nCon Feasible Optimal MeritFunction L+U BSwap nS condHz Penalty
595 20 1 1.0E+00 36 1.4E-04 3.3E+00 9.5755788E+03 2809 12 2.5E+02 8.9E+02 _
596 21 1 1.0E+00 37 3.1E-04 2.7E+00 9.5663348E+03 2809 12 2.5E+02 8.9E+02 _
598 22 2 1.0E+00 38 1.1E-03 2.5E+00 9.5549087E+03 2730 3 13 1.4E+03 8.9E+02 _
599 23 1 1.0E+00 39 1.3E-03 2.0E+00 9.5406300E+03 2730 13 2.1E+03 8.9E+02 _ R
600 24 1 1.0E+00 40 9.0E-05 1.3E+00 9.5268468E+03 2730 13 2.3E+03 8.9E+02 _s
601 25 1 1.0E+00 41 5.6E-05 7.8E-01 9.5242032E+03 2730 13 2.5E+03 8.9E+02 _
602 26 1 1.0E+00 42 4.6E-05 4.6E-01 9.5230318E+03 2730 13 2.9E+03 8.9E+02 _
603 27 1 1.0E+00 43 6.9E-05 3.4E-01 9.5217769E+03 2730 13 2.8E+03 8.9E+02 _
604 28 1 1.0E+00 44 9.1E-05 2.6E-01 9.5208726E+03 2729 13 2.5E+03 8.9E+02 _
605 29 1 1.0E+00 45 2.0E-05 1.3E-01 9.5205713E+03 2750 13 2.7E+03 8.9E+02 _
606 30 1 1.0E+00 46 2.2E-05 1.1E-01 9.5203628E+03 2750 13 2.8E+03 8.9E+02 _
607 31 1 1.0E+00 47 3.4E-06 5.5E-02 9.5203078E+03 2669 1 13 6.4E+02 8.9E+02 _
608 32 1 1.0E+00 48 (1.5E-07) 1.9E-02 9.5203017E+03 2669 13 7.1E+02 8.9E+02 _
609 33 1 1.0E+00 49 (2.5E-08) 7.6E-03 9.5203005E+03 2669 13 7.4E+02 8.9E+02 _
610 34 1 1.0E+00 50 (1.5E-08) 1.5E-03 9.5203002E+03 2669 13 6.3E+02 8.9E+02 _ R
611 35 1 1.0E+00 51 (8.7E-10) 4.4E-04 9.5203001E+03 2669 13 7.2E+02 8.9E+02 _s
612 36 1 1.0E+00 52 (2.4E-10) 4.1E-04 9.5203001E+03 2669 13 8.3E+02 8.9E+02 _
613 37 1 1.0E+00 53 (2.4E-11) 1.7E-04 9.5203001E+03 2669 13 1.1E+03 8.9E+02 _
614 38 1 1.0E+00 54 (1.2E-11) 4.1E-05 9.5203001E+03 2669 13 1.1E+03 8.9E+02 _
615 39 1 1.0E+00 55 (2.0E-12) 2.3E-05 9.5203001E+03 2669 13 1.2E+03 8.9E+02 _
Itns Major Minors Step nCon Feasible Optimal MeritFunction L+U BSwap nS condHz Penalty
616 40 1 1.0E+00 56 (3.0E-13) 1.5E-05 9.5203001E+03 2677 3 13 3.2E+02 8.9E+02 _
617 41 1 1.0E+00 57 (4.8E-13) 7.9E-06 9.5203001E+03 2677 13 2.6E+02 8.9E+02 _
618 42 1 1.0E+00 58 (3.1E-13) 4.2E-06 9.5203001E+03 2677 13 2.5E+02 8.9E+02 _
619 43 1 1.0E+00 59 (1.2E-13) 1.3E-06 9.5203001E+03 2677 13 2.7E+02 8.9E+02 _
620 44 1 1.0E+00 60 (4.5E-14)(4.2E-07) 9.5203001E+03 2677 13 2.8E+02 8.9E+02 _
1
SNOPTA EXIT 0 -- finished successfully
SNOPTA INFO 1 -- optimality conditions satisfied
Problem name
No. of iterations 620 Objective value 9.5203001428E+03
No. of major iterations 44 Linear objective 0.0000000000E+00
Penalty parameter 8.948E+02 Nonlinear objective 9.5203001428E+03
No. of calls to funobj 60 No. of calls to funcon 60
No. of superbasics 13 No. of basic nonlinears 81
No. of degenerate steps 0 Percentage .00
Max x 21 5.0E+01 Max pi 43 5.6E+01
Max Primal infeas 0 0.0E+00 Max Dual infeas 106 2.4E-05
Nonlinear constraint violn 4.5E-12
1
Name Objective Value 9.5203001428E+03
Status Optimal Soln Iteration 620 Superbasics 13
Objective (Min)
RHS
Ranges
Bounds
Section 1 - Rows
Number ...Row.. State ...Activity... Slack Activity ..Lower Limit. ..Upper Limit. .Dual Activity ..i
107 r 1 BS . . None None -1.0 1
108 r 2 EQ .00000 .00000 . . -1.49948 2
109 r 3 EQ .00000 .00000 . . -8.78256 3
110 r 4 EQ .00000 .00000 . . -15.02817 4
111 r 5 EQ .00000 .00000 . . -19.39168 5
112 r 6 EQ .00000 .00000 . . -22.29740 6
113 r 7 EQ .00000 .00000 . . -22.66501 7
114 r 8 EQ .00000 .00000 . . -21.77166 8
115 r 9 EQ .00000 .00000 . . -18.47360 9
116 r 10 EQ .00000 .00000 . . -15.09082 10
117 r 11 EQ .00000 .00000 . . -9.48866 11
118 r 12 EQ .00000 .00000 . . -8.61863 12
119 r 13 EQ .00000 .00000 . . -7.94038 13
120 r 14 EQ .00000 .00000 . . -3.69662 14
121 r 15 EQ .00000 .00000 . . -1.67427 15
122 r 16 EQ .00000 .00000 . . .00809 16
123 r 17 EQ .00000 .00000 . . .51567 17
124 r 18 EQ .00000 .00000 . . .78638 18
125 r 19 EQ .00000 .00000 . . .62812 19
126 r 20 EQ . . . . .45269 20
127 r 21 EQ .00000 .00000 . . .19003 21
128 r 22 EQ .00000 .00000 . . -1.56429 22
129 r 23 EQ . . . . -9.84757 23
130 r 24 EQ .00000 .00000 . . -16.47678 24
131 r 25 EQ . . . . -22.34756 25
132 r 26 EQ .00000 .00000 . . -25.56815 26
133 r 27 EQ .00000 .00000 . . -27.85276 27
134 r 28 EQ .00000 .00000 . . -27.10691 28
135 r 29 EQ .00000 .00000 . . -26.46217 29
136 r 30 EQ .00000 .00000 . . -22.85077 30
137 r 31 EQ .00000 .00000 . . -21.85380 31
138 r 32 EQ .00000 .00000 . . -11.66921 32
139 r 33 EQ .00000 .00000 . . -2.34952 33
140 r 34 EQ .00000 .00000 . . -1.99588 34
141 r 35 EQ .00000 .00000 . . .14662 35
142 r 36 EQ .00000 .00000 . . .61706 36
143 r 37 EQ .00000 .00000 . . 1.41205 37
144 r 38 EQ .00000 .00000 . . 1.29635 38
145 r 39 EQ .00000 .00000 . . 1.19896 39
146 r 40 EQ .00000 .00000 . . .75557 40
147 r 41 EQ .00000 .00000 . . .34577 41
148 r 42 EQ .00000 .00000 . . -8.35700 42
149 r 43 EQ .00000 .00000 . . -44.49217 43
150 r 44 EQ .00000 .00000 . . -55.90476 44
151 r 45 EQ .00000 .00000 . . -35.54192 45
152 r 46 EQ .00000 .00000 . . -5.18532 46
153 r 47 EQ .00000 .00000 . . 7.99437 47
154 r 48 EQ .00000 .00000 . . 4.56739 48
155 r 49 EQ .00000 .00000 . . .43530 49
156 r 50 EQ .00000 .00000 . . -4.08819 50
157 r 51 EQ . . . . -4.15982 51
158 r 52 EQ .00000 .00000 . . 8.49201 52
159 r 53 EQ .00000 .00000 . . 2.46388 53
160 r 54 EQ .00000 .00000 . . .16247 54
161 r 55 EQ .00000 .00000 . . 1.82725 55
162 r 56 EQ .00000 .00000 . . -1.22808 56
163 r 57 EQ .00000 .00000 . . -3.57255 57
164 r 58 EQ .00000 .00000 . . -5.27349 58
165 r 59 EQ .00000 .00000 . . -4.47173 59
166 r 60 EQ .00000 .00000 . . -3.18388 60
167 r 61 EQ .00000 .00000 . . -1.37030 61
168 r 62 EQ .00000 .00000 . . -2.31512 62
169 r 63 EQ .00000 .00000 . . -11.20491 63
170 r 64 EQ .00000 .00000 . . -10.26724 64
171 r 65 EQ .00000 .00000 . . -2.04286 65
172 r 66 EQ .00000 .00000 . . 3.73914 66
173 r 67 EQ .00000 .00000 . . 3.20467 67
174 r 68 EQ .00000 .00000 . . .42556 68
175 r 69 EQ .00000 .00000 . . -.47301 69
176 r 70 EQ .00000 .00000 . . .09292 70
177 r 71 EQ .00000 .00000 . . 3.14091 71
178 r 72 EQ .00000 .00000 . . 1.77942 72
179 r 73 EQ .00000 .00000 . . -1.67541 73
180 r 74 EQ .00000 .00000 . . -1.56003 74
181 r 75 EQ .00000 .00000 . . -2.16613 75
182 r 76 EQ .00000 .00000 . . -2.08633 76
183 r 77 EQ .00000 .00000 . . -.99857 77
184 r 78 EQ .00000 .00000 . . .51156 78
185 r 79 EQ .00000 .00000 . . 1.46739 79
186 r 80 EQ .00000 .00000 . . 1.50185 80
187 r 81 EQ .00000 .00000 . . .79475 81
188 r 82 BS 1000.00000 975.00000 25.00000 2500.00000 . 82
189 r 83 BS 987.97170 962.97170 25.00000 2500.00000 . 83
190 r 84 BS 960.41903 935.41903 25.00000 2500.00000 . 84
191 r 85 BS 909.25688 884.25688 25.00000 2500.00000 . 85
192 r 86 BS 810.88336 785.88336 25.00000 2500.00000 . 86
193 r 87 BS 665.80789 640.80789 25.00000 2500.00000 . 87
194 r 88 BS 510.07850 485.07850 25.00000 2500.00000 . 88
195 r 89 BS 371.92096 346.92096 25.00000 2500.00000 . 89
196 r 90 BS 264.64338 239.64338 25.00000 2500.00000 . 90
197 r 91 BS 195.85994 170.85994 25.00000 2500.00000 . 91
198 r 92 BS 191.82931 166.82931 25.00000 2500.00000 . 92
199 r 93 BS 283.93209 258.93209 25.00000 2500.00000 . 93
200 r 94 BS 457.51506 432.51506 25.00000 2500.00000 . 94
201 r 95 BS 679.19997 654.19997 25.00000 2500.00000 . 95
202 r 96 BS 922.39525 897.39525 25.00000 2500.00000 . 96
203 r 97 BS 1159.79637 1134.79637 25.00000 2500.00000 . 97
204 r 98 BS 1362.85080 -1137.14920 25.00000 2500.00000 . 98
205 r 99 BS 1517.65333 -982.34667 25.00000 2500.00000 . 99
206 r 100 BS 1624.44699 -875.55301 25.00000 2500.00000 . 100
207 r 101 BS 1685.48297 -814.51703 25.00000 2500.00000 . 101
208 r 102 D BS 2500.00000 . 25.00000 2500.00000 . 102
209 r 103 BS 2463.26229 -36.73771 25.00000 2500.00000 . 103
210 r 104 BS 2377.40105 -122.59895 25.00000 2500.00000 . 104
211 r 105 BS 2231.74104 -268.25896 25.00000 2500.00000 . 105
212 r 106 BS 2002.61347 -497.38653 25.00000 2500.00000 . 106
213 r 107 BS 1704.75296 -795.24704 25.00000 2500.00000 . 107
214 r 108 BS 1381.91296 -1118.08704 25.00000 2500.00000 . 108
215 r 109 BS 1061.78651 1036.78651 25.00000 2500.00000 . 109
216 r 110 BS 763.72471 738.72471 25.00000 2500.00000 . 110
217 r 111 BS 503.90037 478.90037 25.00000 2500.00000 . 111
218 r 112 BS 296.01263 271.01263 25.00000 2500.00000 . 112
219 r 113 BS 160.33568 135.33568 25.00000 2500.00000 . 113
220 r 114 BS 107.06406 82.06406 25.00000 2500.00000 . 114
221 r 115 BS 118.51357 93.51357 25.00000 2500.00000 . 115
222 r 116 BS 169.28231 144.28231 25.00000 2500.00000 . 116
223 r 117 BS 233.32507 208.32507 25.00000 2500.00000 . 117
224 r 118 BS 292.31034 267.31034 25.00000 2500.00000 . 118
225 r 119 BS 339.26579 314.26579 25.00000 2500.00000 . 119
226 r 120 BS 373.74990 348.74990 25.00000 2500.00000 . 120
227 r 121 BS 394.81828 369.81828 25.00000 2500.00000 . 121
228 r 122 BS 1025.00000 1000.00000 25.00000 2500.00000 . 122
229 r 123 BS 994.47781 969.47781 25.00000 2500.00000 . 123
230 r 124 BS 924.75655 899.75655 25.00000 2500.00000 . 124
231 r 125 BS 815.18875 790.18875 25.00000 2500.00000 . 125
232 r 126 BS 664.10675 639.10675 25.00000 2500.00000 . 126
233 r 127 BS 492.12724 467.12724 25.00000 2500.00000 . 127
234 r 128 BS 326.44701 301.44701 25.00000 2500.00000 . 128
235 r 129 BS 183.95414 158.95414 25.00000 2500.00000 . 129
236 r 130 BS 80.01164 55.01164 25.00000 2500.00000 . 130
237 r 131 BS 27.07852 2.07852 25.00000 2500.00000 . 131
238 r 132 LL 25.00000 .00000 25.00000 2500.00000 8.75568 132
239 r 133 BS 63.34165 38.34165 25.00000 2500.00000 . 133
240 r 134 BS 135.79923 110.79923 25.00000 2500.00000 . 134
241 r 135 BS 241.78534 216.78534 25.00000 2500.00000 . 135
242 r 136 BS 379.40187 354.40187 25.00000 2500.00000 . 136
243 r 137 BS 540.65938 515.65938 25.00000 2500.00000 . 137
244 r 138 BS 703.31862 678.31862 25.00000 2500.00000 . 138
245 r 139 BS 844.22377 819.22377 25.00000 2500.00000 . 139
246 r 140 BS 948.93940 923.93940 25.00000 2500.00000 . 140
247 r 141 BS 1010.31907 985.31907 25.00000 2500.00000 . 141
248 r 142 BS 6.74551 6.74551 . None . 142
1
Section 2 - Columns
Number .Column. State ...Activity... .Obj Gradient. ..Lower Limit. ..Upper Limit. Reduced Gradnt m+j
1 x 1 EQ . -1.68638 . . -294.87272 143
2 x 2 BS .61719 -10.20490 -10.00000 60.00000 .00000 144
3 x 3 BS 2.05258 -17.58848 -10.00000 60.00000 .00000 145
4 x 4 BS 4.23691 -23.70013 -10.00000 60.00000 .00000 146
5 x 5 BS 6.85781 -28.30914 -10.00000 60.00000 .00000 147
6 x 6 BS 9.42479 -31.58035 -10.00000 60.00000 .00000 148
7 x 7 BS 11.95424 -33.52915 -10.00000 60.00000 .00000 149
8 x 8 BS 14.61573 -34.05922 -10.00000 60.00000 .00000 150
9 x 9 SBS 17.29358 -33.36444 -10.00000 60.00000 .00000 151
10 x 10 SBS 19.79630 -31.79141 -10.00000 60.00000 .00000 152
11 x 11 BS 22.68066 -28.93382 -10.00000 60.00000 .00000 153
12 x 12 SBS 26.70267 -24.21869 -10.00000 60.00000 .00000 154
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