



      problem    1      dimensions    5   10


      initial l2 norm of the residuals  5.0000000e+00

      final l2 norm of the residuals    2.2360680e+00

      number of function evaluations           3

      number of Jacobian evaluations           2

      exit parameter                           1

      final approximate solution

      -9.9999996e-01 -9.9999996e-01 -9.9999996e-01 -9.9999996e-01 -1.0000000e+00




      problem    1      dimensions    5   50


      initial l2 norm of the residuals  8.0622577e+00

      final l2 norm of the residuals    6.7082039e+00

      number of function evaluations           4

      number of Jacobian evaluations           3

      exit parameter                           1

      final approximate solution

      -1.0000002e+00 -1.0000002e+00 -1.0000002e+00 -1.0000002e+00 -1.0000002e+00




      problem    2      dimensions    5   10


      initial l2 norm of the residuals  2.9152187e+02

      final l2 norm of the residuals    1.4638501e+00

      number of function evaluations           3

      number of Jacobian evaluations           2

      exit parameter                           1

      final approximate solution

       1.5206175e+02  7.6530877e+01 -2.0536805e+02  3.8765438e+01  3.1212351e+01




      problem    2      dimensions    5   50


      initial l2 norm of the residuals  3.1016004e+03

      final l2 norm of the residuals    3.4826302e+00

      number of function evaluations           5

      number of Jacobian evaluations           2

      exit parameter                           1

      final approximate solution

      -6.1160193e+00 -2.5580097e+00  1.7684011e+02 -7.7900483e-01 -1.0322851e+02




      problem    3      dimensions    5   10


      initial l2 norm of the residuals  1.2603968e+02

      final l2 norm of the residuals    1.9097274e+00

      number of function evaluations           3

      number of Jacobian evaluations           2

      exit parameter                           1

      final approximate solution

       1.0000000e+00 -1.1643152e+02  1.5463419e+02 -5.7715762e+01  1.0000000e+00




      problem    3      dimensions    5   50


      initial l2 norm of the residuals  1.7489500e+03

      final l2 norm of the residuals    3.6917294e+00

      number of function evaluations           4

      number of Jacobian evaluations           2

      exit parameter                           1

      final approximate solution

       1.0000000e+00  1.0767127e+02  7.4450459e+01 -1.0966575e+02  1.0000000e+00




      problem    4      dimensions    2    2


      initial l2 norm of the residuals  4.9193496e+00

      final l2 norm of the residuals    0.0000000e+00

      number of function evaluations          22

      number of Jacobian evaluations          16

      exit parameter                           2

      final approximate solution

       1.0000000e+00  1.0000000e+00




      problem    4      dimensions    2    2


      initial l2 norm of the residuals  1.3400631e+03

      final l2 norm of the residuals    1.1102230e-15

      number of function evaluations           8

      number of Jacobian evaluations           5

      exit parameter                           2

      final approximate solution

       1.0000000e+00  1.0000000e+00




      problem    4      dimensions    2    2


      initial l2 norm of the residuals  1.4300005e+05

      final l2 norm of the residuals    0.0000000e+00

      number of function evaluations           7

      number of Jacobian evaluations           5

      exit parameter                           2

      final approximate solution

       1.0000000e+00  1.0000000e+00




      problem    5      dimensions    3    3


      initial l2 norm of the residuals  5.0000000e+01

      final l2 norm of the residuals    1.3617202e-16

      number of function evaluations          11

      number of Jacobian evaluations           8

      exit parameter                           2

      final approximate solution

       1.0000000e+00  8.5559402e-18  0.0000000e+00




      problem    5      dimensions    3    3


      initial l2 norm of the residuals  1.0295630e+02

      final l2 norm of the residuals    7.2719545e-18

      number of function evaluations          20

      number of Jacobian evaluations          15

      exit parameter                           2

      final approximate solution

       1.0000000e+00  4.5691038e-19  0.0000000e+00




      problem    5      dimensions    3    3


      initial l2 norm of the residuals  9.9126182e+02

      final l2 norm of the residuals    9.9455596e-23

      number of function evaluations          19

      number of Jacobian evaluations          16

      exit parameter                           2

      final approximate solution

       1.0000000e+00  6.2489794e-24  0.0000000e+00




      problem    6      dimensions    4    4


      initial l2 norm of the residuals  1.4662878e+01

      final l2 norm of the residuals    2.1508559e-20

      number of function evaluations         240

      number of Jacobian evaluations         190

      exit parameter                           5

      final approximate solution

       1.2374861e-10 -1.2374861e-11  5.8690829e-11  5.8690829e-11




      problem    6      dimensions    4    4


      initial l2 norm of the residuals  1.2709839e+03

      final l2 norm of the residuals    2.1587117e-21

      number of function evaluations         240

      number of Jacobian evaluations         191

      exit parameter                           5

      final approximate solution

       3.7162766e-11 -3.7162766e-12  1.1875139e-11  1.1875139e-11




      problem    6      dimensions    4    4


      initial l2 norm of the residuals  1.2688790e+05

      final l2 norm of the residuals    7.8811902e-21

      number of function evaluations         237

      number of Jacobian evaluations         191

      exit parameter                           5

      final approximate solution

       7.4954967e-11 -7.4954967e-12  3.5439603e-11  3.5439603e-11




      problem    7      dimensions    2    2


      initial l2 norm of the residuals  2.0012496e+01

      final l2 norm of the residuals    6.9988752e+00

      number of function evaluations          14

      number of Jacobian evaluations           8

      exit parameter                           1

      final approximate solution

       1.1412484e+01 -8.9682792e-01




      problem    7      dimensions    2    2


      initial l2 norm of the residuals  1.2432834e+04

      final l2 norm of the residuals    6.9988752e+00

      number of function evaluations          19

      number of Jacobian evaluations          12

      exit parameter                           1

      final approximate solution

       1.1413005e+01 -8.9679604e-01




      problem    7      dimensions    2    2


      initial l2 norm of the residuals  1.1426455e+07

      final l2 norm of the residuals    6.9988752e+00

      number of function evaluations          24

      number of Jacobian evaluations          17

      exit parameter                           1

      final approximate solution

       1.1412782e+01 -8.9680511e-01




      problem    8      dimensions    3   15


      initial l2 norm of the residuals  6.4561363e+00

      final l2 norm of the residuals    9.0635960e-02

      number of function evaluations           6

      number of Jacobian evaluations           5

      exit parameter                           1

      final approximate solution

       8.2410576e-02  1.1330366e+00  2.3436947e+00




      problem    8      dimensions    3   15


      initial l2 norm of the residuals  3.6141853e+01

      final l2 norm of the residuals    4.1747687e+00

      number of function evaluations          38

      number of Jacobian evaluations          37

      exit parameter                           1

      final approximate solution

       8.4066667e-01 -1.0828205e+08 -1.0919876e+08




      problem    8      dimensions    3   15


      initial l2 norm of the residuals  3.8411468e+02

      final l2 norm of the residuals    4.1747687e+00

      number of function evaluations          13

      number of Jacobian evaluations          12

      exit parameter                           1

      final approximate solution

       8.4066667e-01 -1.6764232e+08 -1.7528864e+08




      problem    9      dimensions    4   11


      initial l2 norm of the residuals  7.2891510e-02

      final l2 norm of the residuals    1.7535838e-02

      number of function evaluations          18

      number of Jacobian evaluations          16

      exit parameter                           1

      final approximate solution

       1.9280781e-01  1.9126257e-01  1.2305279e-01  1.3605318e-01




      problem    9      dimensions    4   11


      initial l2 norm of the residuals  2.9793701e+00

      final l2 norm of the residuals    3.2052194e-02

      number of function evaluations          79

      number of Jacobian evaluations          71

      exit parameter                           1

      final approximate solution

       1.3099593e+05 -1.4075863e+01 -5.9284996e+06 -3.6982058e+06




      problem    9      dimensions    4   11


      initial l2 norm of the residuals  2.9959062e+01

      final l2 norm of the residuals    3.0707862e-02

      number of function evaluations         229

      number of Jacobian evaluations         193

      exit parameter                           5

      final approximate solution

       4.0685435e-03  5.8260892e+02  7.2743530e+00  4.9135616e+00




      problem   10      dimensions    3   16


      initial l2 norm of the residuals  4.1153467e+04

      final l2 norm of the residuals    9.3779451e+00

      number of function evaluations         126

      number of Jacobian evaluations         116

      exit parameter                           2

      final approximate solution

       5.6096369e-03  6.1813463e+03  3.4522363e+02




      problem   10      dimensions    3   16


      initial l2 norm of the residuals  4.1682169e+06

      final l2 norm of the residuals    6.2375992e+04

      number of function evaluations           4

      number of Jacobian evaluations           3

      exit parameter                           4

      final approximate solution

       1.3823520e+00 -3.6636342e+03 -2.2573583e+01




      problem   11      dimensions    6   31


      initial l2 norm of the residuals  5.4772256e+00

      final l2 norm of the residuals    5.1046620e-02

      number of function evaluations           8

      number of Jacobian evaluations           7

      exit parameter                           1

      final approximate solution

      -1.4493719e-24  1.0136384e+00 -2.4430321e-01  1.3737702e+00 -1.6856387e+00
       1.0980967e+00




      problem   11      dimensions    6   31


      initial l2 norm of the residuals  6.4331258e+03

      final l2 norm of the residuals    4.7829594e-02

      number of function evaluations          14

      number of Jacobian evaluations          13

      exit parameter                           1

      final approximate solution

      -1.5725255e-02  1.0124349e+00 -2.3299163e-01  1.2604292e+00 -1.5137275e+00
       9.9299547e-01




      problem   11      dimensions    6   31


      initial l2 norm of the residuals  6.7425604e+05

      final l2 norm of the residuals    4.7829594e-02

      number of function evaluations          15

      number of Jacobian evaluations          14

      exit parameter                           1

      final approximate solution

      -1.5724723e-02  1.0124349e+00 -2.3299193e-01  1.2604328e+00 -1.5137331e+00
       9.9299891e-01




      problem   11      dimensions    9   31


      initial l2 norm of the residuals  5.4772256e+00

      final l2 norm of the residuals    1.1832136e-03

      number of function evaluations           7

      number of Jacobian evaluations           6

      exit parameter                           1

      final approximate solution

      -1.3681377e-22  9.9978965e-01  1.4782171e-02  1.4630835e-01  1.0010048e+00
      -2.6181923e+00  4.1050775e+00 -3.1441177e+00  1.0527879e+00




      problem   11      dimensions    9   31


      initial l2 norm of the residuals  1.2088127e+04

      final l2 norm of the residuals    1.1831146e-03

      number of function evaluations          26

      number of Jacobian evaluations          15

      exit parameter                           2

      final approximate solution

      -1.5290606e-05  9.9978963e-01  1.4766904e-02  1.4631540e-01  1.0009311e+00
      -2.6179665e+00  4.1046775e+00 -3.1437774e+00  1.0526666e+00




      problem   11      dimensions    9   31


      initial l2 norm of the residuals  1.2691093e+06

      final l2 norm of the residuals    1.1831150e-03

      number of function evaluations          24

      number of Jacobian evaluations          17

      exit parameter                           2

      final approximate solution

      -1.4332188e-05  9.9978970e-01  1.4765451e-02  1.4633609e-01  1.0008520e+00
      -2.6178053e+00  4.1045015e+00 -3.1436793e+00  1.0526454e+00




      problem   11      dimensions   12   31


      initial l2 norm of the residuals  5.4772256e+00

      final l2 norm of the residuals    2.1731280e-05

      number of function evaluations          21

      number of Jacobian evaluations           9

      exit parameter                           2

      final approximate solution

       2.0133365e-23  1.0000016e+00 -5.6206518e-04  3.4777121e-01 -1.5622938e-01
       1.0501348e+00 -3.2388104e+00  7.2717967e+00 -1.0251227e+01  9.0584445e+00
      -4.5347064e+00  1.0107940e+00




      problem   11      dimensions   12   31


      initial l2 norm of the residuals  1.9220759e+04

      final l2 norm of the residuals    2.1733081e-05

      number of function evaluations          27

      number of Jacobian evaluations          13

      exit parameter                           2

      final approximate solution

       1.2918209e-07  1.0000015e+00 -5.5361077e-04  3.4766251e-01 -1.5556428e-01
       1.0478688e+00 -3.2342222e+00  7.2662586e+00 -1.0247529e+01  9.0574745e+00
      -4.5349128e+00  1.0109234e+00




      problem   11      dimensions   12   31


      initial l2 norm of the residuals  2.0189180e+06

      final l2 norm of the residuals    2.1731909e-05

      number of function evaluations          48

      number of Jacobian evaluations          33

      exit parameter                           2

      final approximate solution

      -6.3907483e-08  1.0000018e+00 -5.7119520e-04  3.4792363e-01 -1.5745791e-01
       1.0558189e+00 -3.2551293e+00  7.3018361e+00 -1.0286723e+01  9.0844775e+00
      -4.5454923e+00  1.0127231e+00




      problem   12      dimensions    3   10


      initial l2 norm of the residuals  3.2111584e+01

      final l2 norm of the residuals    1.8410966e-16

      number of function evaluations           7

      number of Jacobian evaluations           6

      exit parameter                           2

      final approximate solution

       1.0000000e+00  1.0000000e+01  1.0000000e+00




      problem   13      dimensions    2   10


      initial l2 norm of the residuals  6.4585650e+01

      final l2 norm of the residuals    1.1151779e+01

      number of function evaluations          21

      number of Jacobian evaluations          12

      exit parameter                           1

      final approximate solution

       2.5781993e-01  2.5782998e-01




      problem   14      dimensions    4   20


      initial l2 norm of the residuals  2.8154384e+03

      final l2 norm of the residuals    2.9295677e+02

      number of function evaluations         212

      number of Jacobian evaluations         198

      exit parameter                           5

      final approximate solution

      -1.1562190e+01  1.3192071e+01 -3.9973104e-01  2.4106731e-01




      problem   14      dimensions    4   20


      initial l2 norm of the residuals  5.5507335e+05

      final l2 norm of the residuals    2.9295427e+02

      number of function evaluations          47

      number of Jacobian evaluations          36

      exit parameter                           1

      final approximate solution

      -1.1595744e+01  1.3204118e+01 -4.0344625e-01  2.3675342e-01




      problem   14      dimensions    4   20


      initial l2 norm of the residuals  6.1211252e+07

      final l2 norm of the residuals    2.9295443e+02

      number of function evaluations         212

      number of Jacobian evaluations         197

      exit parameter                           5

      final approximate solution

      -1.1586046e+01  1.3200484e+01 -4.0299712e-01  2.3719713e-01




      problem   15      dimensions    1    8


      initial l2 norm of the residuals  1.8862380e+00

      final l2 norm of the residuals    1.8862380e+00

      number of function evaluations           2

      number of Jacobian evaluations           1

      exit parameter                           1

      final approximate solution

       5.0000001e-01




      problem   15      dimensions    1    8


      initial l2 norm of the residuals  5.3833444e+09

      final l2 norm of the residuals    1.8842482e+00

      number of function evaluations          29

      number of Jacobian evaluations          28

      exit parameter                           1

      final approximate solution

       9.8173149e-01




      problem   15      dimensions    1    8


      initial l2 norm of the residuals  1.1808873e+18

      final l2 norm of the residuals    1.8842482e+00

      number of function evaluations          47

      number of Jacobian evaluations          46

      exit parameter                           1

      final approximate solution

       9.8173149e-01




      problem   15      dimensions    8    8


      initial l2 norm of the residuals  1.9651386e-01

      final l2 norm of the residuals    5.9303236e-02

      number of function evaluations          39

      number of Jacobian evaluations          20

      exit parameter                           1

      final approximate solution

       4.3153667e-02  1.9309164e-01  2.6632860e-01  4.9999934e-01  5.0000067e-01
       7.3367141e-01  8.0690837e-01  9.5684634e-01




      problem   15      dimensions    9    9


      initial l2 norm of the residuals  1.6994993e-01

      final l2 norm of the residuals    2.0176409e-16

      number of function evaluations          12

      number of Jacobian evaluations           9

      exit parameter                           2

      final approximate solution

       4.4205346e-02  1.9949067e-01  2.3561911e-01  4.1604691e-01  5.0000000e-01
       5.8395309e-01  7.6438089e-01  8.0050933e-01  9.5579465e-01




      problem   15      dimensions   10   10


      initial l2 norm of the residuals  1.8374783e-01

      final l2 norm of the residuals    8.0647100e-02

      number of function evaluations          25

      number of Jacobian evaluations          12

      exit parameter                           1

      final approximate solution

       5.9620272e-02  1.6670879e-01  2.3917103e-01  3.9888530e-01  3.9888367e-01
       6.0111634e-01  6.0111472e-01  7.6082899e-01  8.3329123e-01  9.4037974e-01




      problem   16      dimensions   10   10


      initial l2 norm of the residuals  1.6530216e+01

      final l2 norm of the residuals    1.0000000e+00

      number of function evaluations           7

      number of Jacobian evaluations           5

      exit parameter                           1

      final approximate solution

      -5.4691286e-02 -5.4691286e-02 -5.4691286e-02 -5.4691286e-02 -5.4691286e-02
      -5.4691286e-02 -5.4691286e-02 -5.4691286e-02 -5.4691286e-02  1.1546913e+01




      problem   16      dimensions   10   10


      initial l2 norm of the residuals  9.7656240e+06

      final l2 norm of the residuals    3.3306691e-16

      number of function evaluations          13

      number of Jacobian evaluations           8

      exit parameter                           2

      final approximate solution

       9.7943030e-01  9.7943030e-01  9.7943030e-01  9.7943030e-01  9.7943030e-01
       9.7943030e-01  9.7943030e-01  9.7943030e-01  9.7943030e-01  1.2056970e+00




      problem   16      dimensions   10   10


      initial l2 norm of the residuals  9.7656250e+16

      final l2 norm of the residuals    4.7687924e-15

      number of function evaluations          37

      number of Jacobian evaluations          35

      exit parameter                           2

      final approximate solution

       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00




      problem   16      dimensions   30   30


      initial l2 norm of the residuals  8.3476044e+01

      final l2 norm of the residuals    0.0000000e+00

      number of function evaluations          11

      number of Jacobian evaluations          10

      exit parameter                           2

      final approximate solution

       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00




      problem   16      dimensions   40   40


      initial l2 norm of the residuals  1.2802636e+02

      final l2 norm of the residuals    2.3920048e-13

      number of function evaluations          11

      number of Jacobian evaluations          10

      exit parameter                           2

      final approximate solution

       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00
       1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00  1.0000000e+00




      problem   17      dimensions    5   33


      initial l2 norm of the residuals  9.3756402e-01

      final l2 norm of the residuals    7.3924926e-03

      number of function evaluations          18

      number of Jacobian evaluations          15

      exit parameter                           1

      final approximate solution

       3.7541007e-01  1.9358485e+00 -1.4646887e+00  1.2867538e-02  2.2122693e-02




      problem   18      dimensions   11   65


      initial l2 norm of the residuals  1.4468654e+00

      final l2 norm of the residuals    2.0034404e-01

      number of function evaluations          16

      number of Jacobian evaluations          12

      exit parameter                           1

      final approximate solution

       1.3099766e+00  4.3155248e-01  6.3366126e-01  5.9942856e-01  7.5417977e-01
       9.0430007e-01  1.3657995e+00  4.8237320e+00  2.3986848e+00  4.5688755e+00
       5.6753421e+00
 summary of 53 calls to lmdif1: 



 nprob   n    m   nfev  njev  info  final L2 norm 

    1    5   10     3     2     1   2.2360680e+00
    1    5   50     4     3     1   6.7082039e+00
    2    5   10     3     2     1   1.4638501e+00
    2    5   50     5     2     1   3.4826302e+00
    3    5   10     3     2     1   1.9097274e+00
    3    5   50     4     2     1   3.6917294e+00
    4    2    2    22    16     2   0.0000000e+00
    4    2    2     8     5     2   1.1102230e-15
    4    2    2     7     5     2   0.0000000e+00
    5    3    3    11     8     2   1.3617202e-16
    5    3    3    20    15     2   7.2719545e-18
    5    3    3    19    16     2   9.9455596e-23
    6    4    4   240   190     5   2.1508559e-20
    6    4    4   240   191     5   2.1587117e-21
    6    4    4   237   191     5   7.8811902e-21
    7    2    2    14     8     1   6.9988752e+00
    7    2    2    19    12     1   6.9988752e+00
    7    2    2    24    17     1   6.9988752e+00
    8    3   15     6     5     1   9.0635960e-02
    8    3   15    38    37     1   4.1747687e+00
    8    3   15    13    12     1   4.1747687e+00
    9    4   11    18    16     1   1.7535838e-02
    9    4   11    79    71     1   3.2052194e-02
    9    4   11   229   193     5   3.0707862e-02
   10    3   16   126   116     2   9.3779451e+00
   10    3   16     4     3     4   6.2375992e+04
   11    6   31     8     7     1   5.1046620e-02
   11    6   31    14    13     1   4.7829594e-02
   11    6   31    15    14     1   4.7829594e-02
   11    9   31     7     6     1   1.1832136e-03
   11    9   31    26    15     2   1.1831146e-03
   11    9   31    24    17     2   1.1831150e-03
   11   12   31    21     9     2   2.1731280e-05
   11   12   31    27    13     2   2.1733081e-05
   11   12   31    48    33     2   2.1731909e-05
   12    3   10     7     6     2   1.8410966e-16
   13    2   10    21    12     1   1.1151779e+01
   14    4   20   212   198     5   2.9295677e+02
   14    4   20    47    36     1   2.9295427e+02
   14    4   20   212   197     5   2.9295443e+02
   15    1    8     2     1     1   1.8862380e+00
   15    1    8    29    28     1   1.8842482e+00
   15    1    8    47    46     1   1.8842482e+00
   15    8    8    39    20     1   5.9303236e-02
   15    9    9    12     9     2   2.0176409e-16
   15   10   10    25    12     1   8.0647100e-02
   16   10   10     7     5     1   1.0000000e+00
   16   10   10    13     8     2   3.3306691e-16
   16   10   10    37    35     2   4.7687924e-15
   16   30   30    11    10     2   0.0000000e+00
   16   40   40    11    10     2   2.3920048e-13
   17    5   33    18    15     1   7.3924926e-03
   18   11   65    16    12     1   2.0034404e-01
