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penm_log.txt
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penm_log.txt
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Problem name: BMI2 from convertor pen2bmi2()
Description: Structure PENM generated by bmi_define()
Start time: 12-Feb-2019 10:43:31
All option settings (* = set by user):
outlev *: 2
outlev_file *: 5
out_filename *: penm_log.txt
user_prn *: [not used]
maxotiter *: 100
maxiniter *: 100
penalty_update *: 0.5
penalty_update_bar *: 0.3
mpenalty_update *: 0.5
mpenalty_min *: 1e-06
mpenalty_border *: 1e-06
max_outer_iter *: 100
outer_stop_limit *: 1e-06
kkt_stop_limit *: 0.0001
mlt_update *: 0.3
mmlt_update *: 0.1
uinit *: 1
uinit_box *: 1
uinit_eq *: 0
umin *: 1e-10
pinit *: 1
pinit_bar *: 1
usebarrier *: 0
xinit_mod *: 0
max_inner_iter *: 100
inner_stop_limit *: 0.01
unc_dir_stop_limit *: 0.01
unc_solver *: 0
unc_linesearch *: 3
eq_dir_stop_limit *: 0.01
eq_solver *: 0
eq_linesearch *: 3
eq_solver_warn_max *: 4
ls_short_max *: 3
min_recover_strategy *: 0
min_recover_max *: 3
phi_R *: -0.5
max_ls_iter *: 20
max_lseq_iter *: 20
armijo_eps *: 0.01
ldl_pivot *: 1e-05
pert_update *: 2
pert_min *: 1e-06
pert_try_max *: 50
pert_faster *: 1
chol_ordering *: 1
luk3_diag *: 1
*******************************************************************************
PenLab 1.04 (20140125)
*******************************************************************************
Number of variables 4925
Number of matrix variables 0
- degrees of freedom (var. elements) 0
(Function) constraints
- box inequalities 0
- linear inequalities 9804
- nonlinear inequalities 0
- linear equalities 0
- nonlinear equalities 0
Matrix constraints
- box inequalities 0
- linear inequalities 1
- nonlinear inequalities 5
Min./Max. ineq-mult.: 1.000000 / 1.000000
******************** Start *********************
Objective 0.0000000000000000E+00
Augmented Lagrangian 1.8440981723605725E+02
|f(x) - Lagr(x)| 1.8440981723605725E+02
Grad augm. lagr. 1.7434924255875313E+02
Feasibility (max) 5.3653733877550280E-01
Feasibility eqx
Feasibility ineq 5.3653733877550280E-01
Feasibility box
Feasibility m.ineq 1.0005340576171874E-04
Complementarity 5.3653733877550280E-01
Minimal penalty 3.3489797668038418E-01
************************************************
************* Start of outer step 1 **********
object(x_ 0) = 1.8440981723605725E+02
||grad(x)||_2 = 1.7434924255875313E+02
--- start of inner iter ---
Computing ordering
Chol fact failed (2449), new pert: 1.000000e-06
Chol fact failed (2449), new pert: 2.000000e-06
Chol fact failed (2449), new pert: 4.000000e-06
Chol fact failed (2449), new pert: 8.000000e-06
Chol fact failed (2449), new pert: 1.600000e-05
Chol fact failed (2449), new pert: 3.200000e-05
Chol fact failed (2449), new pert: 6.400000e-05
Chol fact failed (2449), new pert: 1.280000e-04
Chol fact failed (2449), new pert: 2.560000e-04
Chol fact failed (2449), new pert: 5.120000e-04
Chol fact failed (2449), new pert: 1.024000e-03
Chol fact failed (2449), new pert: 2.048000e-03
Chol fact failed (2449), new pert: 4.096000e-03
Chol fact failed (2449), new pert: 8.192000e-03
Chol fact failed (2449), new pert: 1.638400e-02
Chol fact failed (2449), new pert: 3.276800e-02
Chol fact failed (2449), new pert: 6.553600e-02
Chol fact failed (2449), new pert: 1.310720e-01
Chol fact failed (4898), new pert: 2.621440e-01
Chol fact failed (4898), new pert: 5.242880e-01
Chol fact failed (4898), new pert: 1.048576e+00
Chol fact failed (4910), new pert: 2.097152e+00
Chol fact OK in 0.090000s, total 0.090000s, no pert=22, pert=2.0972e+00, nnz=54041 (dim 4925x4925)
LS (pen): -3.1734e+02, 2 steps, Step width: 0.500000
object(x_ 1) = 6.2064846957473172E+01
||grad(x)||_2 = 8.8565373424543111E+01
--- end of 1 in. iter ---
Reusing ordering
Chol fact failed (4914), new pert: 1.048576e+00
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=1.0486e+00, nnz=54098 (dim 4925x4925)
LS (pen): -9.2532e+01, 3 steps, Step width: 0.250000
object(x_ 2) = 4.1822974433348882E+01
||grad(x)||_2 = 6.6736747398482521E+01
--- end of 2 in. iter ---
Reusing ordering
Chol fact failed (4907), new pert: 5.242880e-01
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=5.2429e-01, nnz=54098 (dim 4925x4925)
LS (pen): -6.1244e+01, 3 steps, Step width: 0.250000
object(x_ 3) = 2.8832910631723024E+01
||grad(x)||_2 = 5.0050821063527813E+01
--- end of 3 in. iter ---
Reusing ordering
Chol fact failed (4915), new pert: 2.621440e-01
Chol fact failed (4915), new pert: 5.242880e-01
Chol fact failed (4915), new pert: 1.048576e+00
Chol fact failed (4915), new pert: 2.097152e+00
Chol fact OK in 0.020000s, total 0.020000s, no pert=4, pert=2.0972e+00, nnz=54098 (dim 4925x4925)
LS (pen): -3.1882e+01, 3 steps, Step width: 0.250000
object(x_ 4) = 2.1745752114121490E+01
||grad(x)||_2 = 3.7745253408120398E+01
--- end of 4 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -2.9234e+01, 1 steps, Step width: 1.000000
object(x_ 5) = 1.1214424262545270E+01
||grad(x)||_2 = 5.8616490856589610E+02
--- end of 5 in. iter ---
Reusing ordering
Chol fact failed (4900), new pert: 1.048576e+00
Chol fact failed (4900), new pert: 2.097152e+00
Chol fact failed (4900), new pert: 4.194304e+00
Chol fact failed (4900), new pert: 8.388608e+00
Chol fact failed (4900), new pert: 1.677722e+01
Chol fact failed (4900), new pert: 3.355443e+01
Chol fact failed (4900), new pert: 6.710886e+01
Chol fact OK in 0.040000s, total 0.040000s, no pert=7, pert=6.7109e+01, nnz=54098 (dim 4925x4925)
LS (pen): -2.4606e+00, 1 steps, Step width: 1.000000
object(x_ 6) = 9.3358765089231621E+00
||grad(x)||_2 = 1.8620286500088432E+02
--- end of 6 in. iter ---
Reusing ordering
Chol fact failed (4903), new pert: 3.355443e+01
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=3.3554e+01, nnz=54098 (dim 4925x4925)
LS (pen): -1.6440e+00, 1 steps, Step width: 1.000000
object(x_ 7) = 8.2159298597177521E+00
||grad(x)||_2 = 7.9113801669331664E+01
--- end of 7 in. iter ---
Reusing ordering
Chol fact failed (4904), new pert: 1.677722e+01
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=1.6777e+01, nnz=54098 (dim 4925x4925)
LS (pen): -9.6190e-01, 1 steps, Step width: 1.000000
object(x_ 8) = 7.5806814210434368E+00
||grad(x)||_2 = 3.1037847704102166E+01
--- end of 8 in. iter ---
Reusing ordering
Chol fact failed (4906), new pert: 8.388608e+00
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=8.3886e+00, nnz=54098 (dim 4925x4925)
LS (pen): -4.5214e-01, 1 steps, Step width: 1.000000
object(x_ 9) = 7.2934416222157514E+00
||grad(x)||_2 = 9.3853384708127745E+00
--- end of 9 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -2.8366e-01, 1 steps, Step width: 1.000000
object(x_ 10) = 7.1559050783084519E+00
||grad(x)||_2 = 1.4579341334190830E+00
--- end of 10 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -8.2273e-03, 1 steps, Step width: 1.000000
object(x_ 11) = 7.1517171774690382E+00
||grad(x)||_2 = 1.0492110547063124E-01
--- end of 11 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.3305e-05, 1 steps, Step width: 1.000000
object(x_ 12) = 7.1517105137246180E+00
||grad(x)||_2 = 4.9880922020269398E-04
--- end of 12 in. iter ---
Unconstr min OK
************ Result of outer step 1 **********
Objective 3.8025071412667701E+00
Augmented Lagrangian 7.1517105137246180E+00
|f(x) - f(x_old)| 3.8025071412667701E+00
|f(x) - Lagr(x)| 3.3492033724578478E+00
Grad augm. lagr. 4.9880922020269398E-04
Feasibility (max) 1.7328985914613926E-01
Feasibility eqx
Feasibility ineq 1.7328985914613926E-01
Feasibility box
Feasibility m.ineq 9.0133822335147301E-02
Complementarity 2.0331923442902802E-01
Minimal penalty 3.3489797668038418E-01
Newton steps 12
Inner steps 50
Linesearch steps 19
Time of the minimization step 1.17 s
- factorizations in the step 0.24 s
************************************************
************* Start of outer step 2 **********
object(x_ 0) = 1.9571342666939280E+01
||grad(x)||_2 = 1.7322850349407663E+01
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.2367e+01, 2 steps, Step width: 0.500000
object(x_ 1) = 1.6321000451507448E+01
||grad(x)||_2 = 1.2288634113229718E+02
--- end of 1 in. iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -4.3132e+00, 1 steps, Step width: 1.000000
object(x_ 2) = 1.4107473094547784E+01
||grad(x)||_2 = 5.6379181917999567E+01
--- end of 2 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -2.7436e-01, 1 steps, Step width: 1.000000
object(x_ 3) = 1.3931382447975864E+01
||grad(x)||_2 = 2.2840013658563421E+01
--- end of 3 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.3706e-01, 1 steps, Step width: 1.000000
object(x_ 4) = 1.3844231989885319E+01
||grad(x)||_2 = 7.7872303380396755E+00
--- end of 4 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -4.7620e-02, 1 steps, Step width: 1.000000
object(x_ 5) = 1.3816191988691617E+01
||grad(x)||_2 = 1.6049927103533710E+00
--- end of 5 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -5.3968e-03, 1 steps, Step width: 1.000000
object(x_ 6) = 1.3813304563738232E+01
||grad(x)||_2 = 1.3874334484502598E-01
--- end of 6 in. iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.000000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -7.3992e-05, 1 steps, Step width: 1.000000
object(x_ 7) = 1.3813267203138277E+01
||grad(x)||_2 = 2.1120341331902241E-03
--- end of 7 in. iter ---
Unconstr min OK
************ Result of outer step 2 **********
Objective 1.0478410054449963E+01
Augmented Lagrangian 1.3813267203138277E+01
|f(x) - f(x_old)| 6.6759029131831928E+00
|f(x) - Lagr(x)| 3.3348571486883145E+00
Grad augm. lagr. 2.1120341331902241E-03
Feasibility (max) 5.8060958800002338E-02
Feasibility eqx
Feasibility ineq 5.8060958800002338E-02
Feasibility box
Feasibility m.ineq 1.7853838310964029E-02
Complementarity 7.6032830247825506E-02
Minimal penalty 1.6744898834019209E-01
Newton steps 7
Inner steps 7
Linesearch steps 8
Time of the minimization step 0.54 s
- factorizations in the step 0.05 s
************************************************
************* Start of outer step 3 **********
object(x_ 0) = 1.6398701546864260E+01
||grad(x)||_2 = 8.8617362160666442E+00
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -2.7829e+00, 1 steps, Step width: 1.000000
object(x_ 1) = 1.5006318895438991E+01
||grad(x)||_2 = 1.3680990985226944E+00
--- end of 1 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -8.0467e-04, 1 steps, Step width: 1.000000
object(x_ 2) = 1.5005905420912670E+01
||grad(x)||_2 = 5.2015520630552765E-02
--- end of 2 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.4894e-06, 1 steps, Step width: 1.000000
object(x_ 3) = 1.5005904675317117E+01
||grad(x)||_2 = 8.7583664405590161E-05
--- end of 3 in. iter ---
Unconstr min OK
************ Result of outer step 3 **********
Objective 1.4102502853914142E+01
Augmented Lagrangian 1.5005904675317117E+01
|f(x) - f(x_old)| 3.6240927994641794E+00
|f(x) - Lagr(x)| 9.0340182140297465E-01
Grad augm. lagr. 8.7583664405590161E-05
Feasibility (max) 1.1394646710085943E-02
Feasibility eqx
Feasibility ineq 1.1394646710085943E-02
Feasibility box
Feasibility m.ineq 1.5946698092367362E-03
Complementarity 1.5601792533301599E-02
Minimal penalty 8.3724494170096045E-02
Newton steps 3
Inner steps 3
Linesearch steps 3
Time of the minimization step 0.23 s
- factorizations in the step 0.03 s
************************************************
************* Start of outer step 4 **********
object(x_ 0) = 1.5207730269588739E+01
||grad(x)||_2 = 2.3833319030556113E+00
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -2.3972e-01, 1 steps, Step width: 1.000000
object(x_ 1) = 1.5087883699522571E+01
||grad(x)||_2 = 8.6784212376444070E-02
--- end of 1 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -2.9828e-06, 1 steps, Step width: 1.000000
object(x_ 2) = 1.5087882203864936E+01
||grad(x)||_2 = 2.4442594535294072E-04
--- end of 2 in. iter ---
Unconstr min OK
************ Result of outer step 4 **********
Objective 1.4978049493893312E+01
Augmented Lagrangian 1.5087882203864936E+01
|f(x) - f(x_old)| 8.7554663997917004E-01
|f(x) - Lagr(x)| 1.0983270997162364E-01
Grad augm. lagr. 2.4442594535294072E-04
Feasibility (max) 1.2299857273918580E-03
Feasibility eqx
Feasibility ineq 1.2299857273918580E-03
Feasibility box
Feasibility m.ineq 1.1874542236328123E-04
Complementarity 1.7006941824394457E-03
Minimal penalty 4.1862247085048022E-02
Newton steps 2
Inner steps 2
Linesearch steps 2
Time of the minimization step 0.16 s
- factorizations in the step 0.02 s
************************************************
************* Start of outer step 5 **********
object(x_ 0) = 1.5092806706116050E+01
||grad(x)||_2 = 4.6164740899682222E-01
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.000000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -6.1746e-03, 1 steps, Step width: 1.000000
object(x_ 1) = 1.5089719417758159E+01
||grad(x)||_2 = 1.0479228040994934E-04
--- end of 1 in. iter ---
Unconstr min OK
************ Result of outer step 5 **********
Objective 1.5082167597629020E+01
Augmented Lagrangian 1.5089719417758159E+01
|f(x) - f(x_old)| 1.0411810373570773E-01
|f(x) - Lagr(x)| 7.5518201291391307E-03
Grad augm. lagr. 1.0479228040994934E-04
Feasibility (max) 1.0174931861226541E-04
Feasibility eqx
Feasibility ineq 6.9955991454206945E-05
Feasibility box
Feasibility m.ineq 1.0174931861226541E-04
Complementarity 9.6836013511429557E-05
Minimal penalty 2.0931123542524011E-02
Newton steps 1
Inner steps 1
Linesearch steps 1
Time of the minimization step 0.09 s
- factorizations in the step 0 s
************************************************
************* Start of outer step 6 **********
object(x_ 0) = 1.5089767743317640E+01
||grad(x)||_2 = 5.4037325680318229E-02
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.000000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -4.3439e-05, 1 steps, Step width: 1.000000
object(x_ 1) = 1.5089746023657874E+01
||grad(x)||_2 = 2.8513017947823887E-06
--- end of 1 in. iter ---
Unconstr min OK
************ Result of outer step 6 **********
Objective 1.5088447068242944E+01
Augmented Lagrangian 1.5089746023657874E+01
|f(x) - f(x_old)| 6.2794706139239764E-03
|f(x) - Lagr(x)| 1.2989554149296367E-03
Grad augm. lagr. 2.8513017947823887E-06
Feasibility (max) 1.0012817382812499E-04
Feasibility eqx
Feasibility ineq 2.0472954135319910E-06
Feasibility box
Feasibility m.ineq 1.0012817382812499E-04
Complementarity 2.8341377253549357E-06
Minimal penalty 1.0465561771262006E-02
Newton steps 1
Inner steps 1
Linesearch steps 1
Time of the minimization step 0.09 s
- factorizations in the step 0 s
************************************************
************* Start of outer step 7 **********
object(x_ 0) = 1.5089776292381305E+01
||grad(x)||_2 = 3.3078097877917746E-03
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -7.9981e-08, 1 steps, Step width: 1.000000
object(x_ 1) = 1.5089776252390752E+01
||grad(x)||_2 = 5.1761065435017593E-08
--- end of 1 in. iter ---
Unconstr min OK
************ Result of outer step 7 **********
Objective 1.5088638989610306E+01
Augmented Lagrangian 1.5089776252390752E+01
|f(x) - f(x_old)| 1.9192136736201348E-04
|f(x) - Lagr(x)| 1.1372627804462354E-03
Grad augm. lagr. 5.1761065435017593E-08
Feasibility (max) 1.0005340576171874E-04
Feasibility eqx
Feasibility ineq 3.0405122808385698E-08
Feasibility box
Feasibility m.ineq 1.0005340576171874E-04
Complementarity 4.2090883763433676E-08
Minimal penalty 5.2327808856310028E-03
Newton steps 1
Inner steps 1
Linesearch steps 1
Time of the minimization step 0.09 s
- factorizations in the step 0.01 s
************************************************
************* Start of outer step 8 **********
object(x_ 0) = 1.5089839753804783E+01
||grad(x)||_2 = 1.2641563306799140E-04
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -3.7975e-11 (small full step)
object(x_ 1) = 1.5089839753785794E+01
||grad(x)||_2 = 6.2422941303763839E-10
--- end of 1 in. iter ---
Unconstr min OK
************ Result of outer step 8 **********
Objective 1.5088641944955031E+01
Augmented Lagrangian 1.5089839753785794E+01
|f(x) - f(x_old)| 2.9553447244978770E-06
|f(x) - Lagr(x)| 1.1978088307635915E-03
Grad augm. lagr. 6.2422941303763839E-10
Feasibility (max) 1.0005340576171874E-04
Feasibility eqx
Feasibility ineq 2.2755547446351443E-10
Feasibility box
Feasibility m.ineq 1.0005340576171874E-04
Complementarity 3.1501307739217131E-10
Minimal penalty 2.6163904428155014E-03
Newton steps 1
Inner steps 1
Linesearch steps 0
Time of the minimization step 0.1 s
- factorizations in the step 0.01 s
************************************************
************* Start of outer step 9 **********
object(x_ 0) = 1.5089980320470909E+01
||grad(x)||_2 = 9.2155761454044452E-06
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -6.3909e-15 (small full step)
object(x_ 1) = 1.5089980320470906E+01
||grad(x)||_2 = 8.1214422340231008E-12
--- end of 1 in. iter ---
Unconstr min OK
************ Result of outer step 9 **********
Objective 1.5088641967798814E+01
Augmented Lagrangian 1.5089980320470906E+01
|f(x) - f(x_old)| 2.2843783753501157E-08
|f(x) - Lagr(x)| 1.3383526720911476E-03
Grad augm. lagr. 8.1214422340231008E-12
Feasibility (max) 1.0005340576171874E-04
Feasibility eqx
Feasibility ineq 8.5770279767416469E-13
Feasibility box
Feasibility m.ineq 1.0005340576171874E-04
Complementarity 1.1873482652066898E-12
Minimal penalty 1.3081952214077507E-03
Newton steps 1
Inner steps 1
Linesearch steps 0
Time of the minimization step 0.09 s
- factorizations in the step 0.01 s
************************************************
************* Start of outer step 10 **********
object(x_ 0) = 1.5090327468946819E+01
||grad(x)||_2 = 1.2186401244919279E-06
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.000000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.1586e-17 (small full step)
object(x_ 1) = 1.5090327468946821E+01
||grad(x)||_2 = 5.2352445379281641E-12
--- end of 1 in. iter ---
Unconstr min OK
************ Result of outer step 10 **********
Objective 1.5088641967887281E+01
Augmented Lagrangian 1.5090327468946821E+01
|f(x) - f(x_old)| 8.8466123315811274E-11
|f(x) - Lagr(x)| 1.6855010595406839E-03
Grad augm. lagr. 5.2352445379281641E-12
Feasibility (max) 1.0005340576171874E-04
Feasibility eqx
Feasibility ineq 4.6906922790412864E-15
Feasibility box
Feasibility m.ineq 1.0005340576171874E-04
Complementarity 4.7467532983532886E-15
Minimal penalty 6.5409761070387535E-04
Newton steps 1
Inner steps 1
Linesearch steps 0
Time of the minimization step 0.09 s
- factorizations in the step 0 s
************************************************
************* Start of outer step 11 **********
object(x_ 0) = 1.5091427050286601E+01
||grad(x)||_2 = 2.3952282847868230E-07
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.000000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -8.9872e-20 (small full step)
object(x_ 1) = 1.5091427050286603E+01
||grad(x)||_2 = 1.5267656280623020E-11
--- end of 1 in. iter ---
Unconstr min OK
************ Result of outer step 11 **********
Objective 1.5088641967887451E+01
Augmented Lagrangian 1.5091427050286603E+01
|f(x) - f(x_old)| 1.7053025658242404E-13
|f(x) - Lagr(x)| 2.7850823991517615E-03
Grad augm. lagr. 1.5267656280623020E-11
Feasibility (max) 1.0005340576171874E-04
Feasibility eqx
Feasibility ineq 2.7755575615628914E-16
Feasibility box
Feasibility m.ineq 1.0005340576171874E-04
Complementarity 2.7924028539762911E-16
Minimal penalty 3.2704880535193768E-04
Newton steps 1
Inner steps 1
Linesearch steps 0
Time of the minimization step 0.09 s
- factorizations in the step 0 s
************************************************
************* Start of outer step 12 **********
object(x_ 0) = 1.5098433972568760E+01
||grad(x)||_2 = 1.6497647157895032E-07
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.8980e-21 (almost not descent), no step
FAILURE: Linesearch (3) cannot continue (flag 2)
*****!!!!!!! Result of outer step 12 !!!!!*****
Objective 1.5088641967887451E+01
Augmented Lagrangian 1.5098433972568760E+01
|f(x) - f(x_old)| 0.0000000000000000E+00
|f(x) - Lagr(x)| 9.7920046813086969E-03
Grad augm. lagr. 1.6497647157895032E-07
Feasibility (max) 1.0005340576171874E-04
Feasibility eqx
Feasibility ineq 2.7755575615628914E-16
Feasibility box
Feasibility m.ineq 1.0005340576171874E-04
Complementarity 2.7924028539747035E-16
Minimal penalty 1.6352440267596884E-04
Newton steps 0
Inner steps 1
Linesearch steps 0
Time of the minimization step 0.07 s
- factorizations in the step 0.01 s
*****!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!*****
Warning: Unconstr/eqconstr. min failed (flag 3), remaing attepmts: 2
************* Start of outer step 13 **********
object(x_ 0) = 1.6158866481343988E+01
||grad(x)||_2 = 9.8272780393267745E-03
--- start of inner iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.000000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.1854e-16 (almost not descent), no step
FAILURE: Linesearch (3) cannot continue (flag 2)
*****!!!!!!! Result of outer step 13 !!!!!*****
Objective 1.5088641967887451E+01
Augmented Lagrangian 1.6158866481343988E+01
|f(x) - f(x_old)| 0.0000000000000000E+00
|f(x) - Lagr(x)| 1.0702245134565374E+00
Grad augm. lagr. 9.8272780393267745E-03
Feasibility (max) 1.0005340576171874E-04
Feasibility eqx
Feasibility ineq 2.7755575615628914E-16
Feasibility box
Feasibility m.ineq 1.0005340576171874E-04
Complementarity 2.7924028539715294E-16
Minimal penalty 1.0220275167248052E-04
Newton steps 0
Inner steps 1
Linesearch steps 0
Time of the minimization step 0.06 s
- factorizations in the step 0 s
*****!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!*****
Warning: Unconstr/eqconstr. min failed (flag 3), remaing attepmts: 1
************* Start of outer step 14 **********
object(x_ 0) = 1.0054230123719883E+05
||grad(x)||_2 = 2.1888893561246647E+06
--- start of inner iter ---
Reusing ordering
Chol fact failed (2449), new pert: 4.194304e+00
Chol fact failed (2449), new pert: 8.388608e+00
Chol fact failed (2449), new pert: 1.677722e+01
Chol fact failed (2449), new pert: 3.355443e+01
Chol fact failed (2449), new pert: 6.710886e+01
Chol fact failed (2449), new pert: 1.342177e+02
Chol fact failed (4898), new pert: 2.684355e+02
Chol fact failed (4900), new pert: 5.368709e+02
Chol fact failed (4902), new pert: 1.073742e+03
Chol fact OK in 0.030000s, total 0.030000s, no pert=9, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -2.6112e-08, 1 steps, Step width: 1.000000
object(x_ 1) = 1.0054230123718335E+05
||grad(x)||_2 = 3.4884347578500345E+00
--- end of 1 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4902), new pert: 1.073742e+03
Chol fact OK in 0.010000s, total 0.010000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -9.1350e-10, 1 steps, Step width: 1.000000
object(x_ 2) = 1.0054230123717942E+05
||grad(x)||_2 = 1.0128804116278944E+00
--- end of 2 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4902), new pert: 1.073742e+03
Chol fact OK in 0.020000s, total 0.020000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -2.5266e-08, 1 steps, Step width: 1.000000
object(x_ 3) = 1.0054230123710283E+05
||grad(x)||_2 = 2.7989650839178140E+01
--- end of 3 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4902), new pert: 1.073742e+03
Chol fact OK in 0.020000s, total 0.020000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -7.0069e-07, 1 steps, Step width: 1.000000
object(x_ 4) = 1.0054230123490591E+05
||grad(x)||_2 = 7.4358589899069159E+02
--- end of 4 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4902), new pert: 1.073742e+03
Chol fact OK in 0.010000s, total 0.010000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -1.9434e-05, 1 steps, Step width: 1.000000
object(x_ 5) = 1.0054230117402216E+05
||grad(x)||_2 = 2.0639291087257894E+04
--- end of 5 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4902), new pert: 1.073742e+03
Chol fact OK in 0.020000s, total 0.020000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -5.3863e-04, 1 steps, Step width: 1.000000
object(x_ 6) = 1.0054229948739502E+05
||grad(x)||_2 = 5.7164184929403546E+05
--- end of 6 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4902), new pert: 1.073742e+03
Chol fact OK in 0.010000s, total 0.010000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -1.4876e-02, 1 steps, Step width: 1.000000
object(x_ 7) = 1.0054225303776833E+05
||grad(x)||_2 = 1.5733429199028626E+07
--- end of 7 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4902), new pert: 1.073742e+03
Chol fact OK in 0.020000s, total 0.020000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -4.0328e-01, 1 steps, Step width: 1.000000
object(x_ 8) = 1.0054101155746188E+05
||grad(x)||_2 = 4.1895659113725561E+08
--- end of 8 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4902), new pert: 1.073742e+03
Chol fact OK in 0.010000s, total 0.010000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -1.0277e+01, 1 steps, Step width: 1.000000
object(x_ 9) = 1.0051083246707155E+05
||grad(x)||_2 = 1.0166693253850916E+10
--- end of 9 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4904), new pert: 1.073742e+03
Chol fact OK in 0.020000s, total 0.020000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -1.8710e+02, 1 steps, Step width: 1.000000
object(x_ 10) = 1.0009300702392023E+05
||grad(x)||_2 = 1.3123253570440564E+11
--- end of 10 in. iter ---
Reusing ordering
Chol fact failed (2449), new pert: 5.368709e+02
Chol fact failed (4911), new pert: 1.073742e+03
Chol fact OK in 0.020000s, total 0.020000s, no pert=2, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -1.2100e+03, 1 steps, Step width: 1.000000
object(x_ 11) = 9.8360209807199935E+04
||grad(x)||_2 = 2.7867537027054700E+11
--- end of 11 in. iter ---
Reusing ordering
Chol fact failed (4897), new pert: 5.368709e+02
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=5.3687e+02, nnz=54098 (dim 4925x4925)
LS (pen): -1.1176e+04, 3 steps, Step width: 1.259921
object(x_ 12) = 8.7443289618936469E+04
||grad(x)||_2 = 4.1070962969009834E+12
--- end of 12 in. iter ---
Reusing ordering
Chol fact failed (4898), new pert: 2.684355e+02
Chol fact failed (4903), new pert: 5.368709e+02
Chol fact failed (4914), new pert: 1.073742e+03
Chol fact OK in 0.010000s, total 0.010000s, no pert=3, pert=1.0737e+03, nnz=54098 (dim 4925x4925)
LS (pen): -1.4621e+04, 1 steps, Step width: 1.000000
object(x_ 13) = 7.8578116035202955E+04
||grad(x)||_2 = 9.6538142479486914E+11
--- end of 13 in. iter ---
Reusing ordering
Chol fact failed (4899), new pert: 5.368709e+02
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=5.3687e+02, nnz=54098 (dim 4925x4925)
LS (pen): -6.0329e+03, 1 steps, Step width: 1.000000
object(x_ 14) = 7.3424873049596674E+04
||grad(x)||_2 = 1.3485421919564842E+11
--- end of 14 in. iter ---
Reusing ordering
Chol fact failed (4899), new pert: 2.684355e+02
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=2.6844e+02, nnz=54098 (dim 4925x4925)
LS (pen): -6.5719e+03, 2 steps, Step width: 2.000000
object(x_ 15) = 6.4558408378319145E+04
||grad(x)||_2 = 6.1121575873842871E+11
--- end of 15 in. iter ---
Reusing ordering
Chol fact failed (4906), new pert: 1.342177e+02
Chol fact OK in 0.020000s, total 0.020000s, no pert=1, pert=1.3422e+02, nnz=54098 (dim 4925x4925)
LS (pen): -1.0484e+04, 1 steps, Step width: 1.000000
object(x_ 16) = 5.6304215107716525E+04
||grad(x)||_2 = 1.1888390295692186E+11
--- end of 16 in. iter ---
Reusing ordering
Chol fact failed (4906), new pert: 6.710886e+01
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=6.7109e+01, nnz=54098 (dim 4925x4925)
LS (pen): -7.1609e+03, 1 steps, Step width: 1.000000
object(x_ 17) = 5.0565498023501874E+04
||grad(x)||_2 = 1.4478302359361246E+11
--- end of 17 in. iter ---
Reusing ordering
Chol fact failed (4914), new pert: 3.355443e+01
Chol fact OK in 0.010000s, total 0.010000s, no pert=1, pert=3.3554e+01, nnz=54098 (dim 4925x4925)
LS (pen): -4.8031e+03, 1 steps, Step width: 1.000000
object(x_ 18) = 4.6732489025856703E+04
||grad(x)||_2 = 4.3106480214394043E+10
--- end of 18 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -7.8101e+03, 1 steps, Step width: 1.000000
object(x_ 19) = 4.5099996518405424E+04
||grad(x)||_2 = 1.1719626360124202E+12
--- end of 19 in. iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -7.6606e+03, 1 steps, Step width: 1.000000
object(x_ 20) = 4.0944816076227449E+04
||grad(x)||_2 = 2.3270820825820270E+11
--- end of 20 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.0553e+03, 1 steps, Step width: 1.000000
object(x_ 21) = 4.0337783344129100E+04
||grad(x)||_2 = 7.7637321472354645E+10
--- end of 21 in. iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.000000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.8700e+02, 1 steps, Step width: 1.000000
object(x_ 22) = 4.0228012170962662E+04
||grad(x)||_2 = 9.8762107359462872E+09
--- end of 22 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -2.9575e+01, 1 steps, Step width: 1.000000
object(x_ 23) = 4.0211100671850545E+04
||grad(x)||_2 = 2.3254962559974046E+09
--- end of 23 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -2.1383e+00, 1 steps, Step width: 1.000000
object(x_ 24) = 4.0209978593274187E+04
||grad(x)||_2 = 1.8415951182998809E+08
--- end of 24 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.3291e-02, 1 steps, Step width: 1.000000
object(x_ 25) = 4.0209971920274686E+04
||grad(x)||_2 = 1.1854079628807269E+06
--- end of 25 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -5.1730e-07, 1 steps, Step width: 1.000000
object(x_ 26) = 4.0209971920016389E+04
||grad(x)||_2 = 4.7287089080755791E+01
--- end of 26 in. iter ---
Reusing ordering
Chol fact OK in 0.000000s, total 0.000000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -7.9207e-16 (small full step)
object(x_ 27) = 4.0209971920020420E+04
||grad(x)||_2 = 2.0776700480552437E-01
--- end of 27 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -6.8820e-22 (small full step)
object(x_ 28) = 4.0209971920022304E+04
||grad(x)||_2 = 7.4920007893246349E-02
--- end of 28 in. iter ---
Reusing ordering
Chol fact OK in 0.010000s, total 0.010000s, no pert=0, pert=0.0000e+00, nnz=54098 (dim 4925x4925)
LS (pen): -1.1717e-22 (almost not descent), no step
FAILURE: Linesearch (3) cannot continue (flag 2)
*****!!!!!!! Result of outer step 14 !!!!!*****
Objective 5.6082679660912254E+03
Augmented Lagrangian 4.0209971920022304E+04
|f(x) - f(x_old)| 5.5931793241233381E+03
|f(x) - Lagr(x)| 3.4601703953931079E+04
Grad augm. lagr. 7.4920007893246349E-02
Feasibility (max) 6.9734924479547544E-04
Feasibility eqx
Feasibility ineq 6.9734924479547544E-04
Feasibility box
Feasibility m.ineq 1.0002417548093943E-04
Complementarity 4.0052700128444330E-03
Minimal penalty 1.0004447811260922E-04