



      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

      -1.0000001e+00 -1.0000001e+00 -1.0000001e+00 -1.0000001e+00 -1.0000001e+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           3

      number of Jacobian evaluations           2

      exit parameter                           1

      final approximate solution

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

      -1.8153698e+02 -9.0268492e+01 -4.7189022e+01 -4.4634246e+01  1.3646418e+02




      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           4

      number of Jacobian evaluations           2

      exit parameter                           1

      final approximate solution

       1.8305009e+02  9.2025047e+01 -1.9625042e+02  4.6512524e+01  7.1261354e+00




      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           4

      number of Jacobian evaluations           2

      exit parameter                           1

      final approximate solution

       1.0000000e+00 -2.1036153e+02  3.2120421e+01  8.1134568e+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  5.3438572e+01  1.0507522e+02 -1.0551797e+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    2.2204460e-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    1.3095172e-24

      number of function evaluations          12

      number of Jacobian evaluations           9

      exit parameter                           2

      final approximate solution

       1.0000000e+00  8.2279395e-26  0.0000000e+00




      problem    5      dimensions    3    3


      initial l2 norm of the residuals  1.0295630e+02

      final l2 norm of the residuals    3.9349508e-18

      number of function evaluations          20

      number of Jacobian evaluations          15

      exit parameter                           2

      final approximate solution

       1.0000000e+00 -2.4724025e-19  0.0000000e+00




      problem    5      dimensions    3    3


      initial l2 norm of the residuals  9.9126182e+02

      final l2 norm of the residuals    2.9410901e-23

      number of function evaluations          19

      number of Jacobian evaluations          16

      exit parameter                           2

      final approximate solution

       1.0000000e+00 -1.8479414e-24  0.0000000e+00




      problem    6      dimensions    4    4


      initial l2 norm of the residuals  1.4662878e+01

      final l2 norm of the residuals    2.2457141e-21

      number of function evaluations         240

      number of Jacobian evaluations         191

      exit parameter                           5

      final approximate solution

       3.9985632e-11 -3.9985632e-12  1.8965862e-11  1.8965862e-11




      problem    6      dimensions    4    4


      initial l2 norm of the residuals  1.2709839e+03

      final l2 norm of the residuals    1.1058919e-23

      number of function evaluations         238

      number of Jacobian evaluations         191

      exit parameter                           5

      final approximate solution

       2.8137399e-12 -2.8137399e-13  1.3150055e-12  1.3150055e-12




      problem    6      dimensions    4    4


      initial l2 norm of the residuals  1.2688790e+05

      final l2 norm of the residuals    2.6875607e-21

      number of function evaluations         236

      number of Jacobian evaluations         192

      exit parameter                           5

      final approximate solution

       4.3448748e-11 -4.3448748e-12  1.6489673e-11  1.6489673e-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 -8.9679605e-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

       8.2410574e-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          39

      number of Jacobian evaluations          38

      exit parameter                           1

      final approximate solution

       8.4066668e-01 -1.6159201e+08 -1.6399377e+08




      problem    8      dimensions    3   15


      initial l2 norm of the residuals  3.8411468e+02

      final l2 norm of the residuals    4.1747688e+00

      number of function evaluations          12

      number of Jacobian evaluations          11

      exit parameter                           1

      final approximate solution

       8.4066668e-01 -6.1947688e+07 -6.3915538e+07




      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  1.9126271e-01  1.2305283e-01  1.3605325e-01




      problem    9      dimensions    4   11


      initial l2 norm of the residuals  2.9793701e+00

      final l2 norm of the residuals    3.2052193e-02

      number of function evaluations          81

      number of Jacobian evaluations          73

      exit parameter                           1

      final approximate solution

       3.9707619e+05 -1.4075877e+01 -1.7970545e+07 -1.1210050e+07




      problem    9      dimensions    4   11


      initial l2 norm of the residuals  2.9959062e+01

      final l2 norm of the residuals    3.0712644e-02

      number of function evaluations         236

      number of Jacobian evaluations         192

      exit parameter                           5

      final approximate solution

       3.1889875e-03  7.4743721e+02  7.3116249e+00  4.9374237e+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                           1

      final approximate solution

       5.6096376e-03  6.1813462e+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

       1.3823523e+00 -3.6636336e+03 -2.2573445e+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

      -1.3890151e-24  1.0136384e+00 -2.4430340e-01  1.3737708e+00 -1.6856393e+00
       1.0980970e+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

      -1.5725342e-02  1.0124348e+00 -2.3299123e-01  1.2604277e+00 -1.5137255e+00
       9.9299452e-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

      -1.5724511e-02  1.0124349e+00 -2.3299212e-01  1.2604345e+00 -1.5137355e+00
       9.9300035e-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

       1.4030071e-22  9.9978965e-01  1.4781571e-02  1.4631641e-01  1.0009664e+00
      -2.6181025e+00  4.1049670e+00 -3.1440487e+00  1.0527706e+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          27

      number of Jacobian evaluations          15

      exit parameter                           2

      final approximate solution

      -1.5269840e-05  9.9978967e-01  1.4765380e-02  1.4632933e-01  1.0008750e+00
      -2.6178472e+00  4.1045393e+00 -3.1436946e+00  1.0526466e+00




      problem   11      dimensions    9   31


      initial l2 norm of the residuals  1.2691093e+06

      final l2 norm of the residuals    1.1831146e-03

      number of function evaluations          27

      number of Jacobian evaluations          16

      exit parameter                           2

      final approximate solution

      -1.5427069e-05  9.9978975e-01  1.4761942e-02  1.4636023e-01  1.0007469e+00
      -2.6175710e+00  4.1042150e+00 -3.1434981e+00  1.0525983e+00




      problem   11      dimensions   12   31


      initial l2 norm of the residuals  5.4772256e+00

      final l2 norm of the residuals    2.1732666e-05

      number of function evaluations          19

      number of Jacobian evaluations           9

      exit parameter                           2

      final approximate solution

      -1.8474583e-23  1.0000015e+00 -5.5283987e-04  3.4761319e-01 -1.5498280e-01
       1.0445788e+00 -3.2235369e+00  7.2449098e+00 -1.0220812e+01  9.0370434e+00
      -4.5261772e+00  1.0093225e+00




      problem   11      dimensions   12   31


      initial l2 norm of the residuals  1.9220759e+04

      final l2 norm of the residuals    2.1733705e-05

      number of function evaluations          29

      number of Jacobian evaluations          14

      exit parameter                           2

      final approximate solution

       2.1574839e-07  1.0000015e+00 -5.5328562e-04  3.4762691e-01 -1.5508536e-01
       1.0449720e+00 -3.2243978e+00  7.2460165e+00 -1.0221607e+01  9.0372968e+00
      -4.5261645e+00  1.0093024e+00




      problem   11      dimensions   12   31


      initial l2 norm of the residuals  2.0189180e+06

      final l2 norm of the residuals    6.2295873e-02

      number of function evaluations          45

      number of Jacobian evaluations          29

      exit parameter                           2

      final approximate solution

       2.6980768e-04  1.0071351e+00 -5.5555361e-01  6.0129293e+00 -5.8774862e+00
      -1.6714544e+02  1.0171006e+03 -2.7835752e+03  4.2626345e+03 -3.7654325e+03
       1.7963185e+03 -3.5892973e+02




      problem   12      dimensions    3   10


      initial l2 norm of the residuals  3.2111584e+01

      final l2 norm of the residuals    2.4196750e-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    2.9295606e+02

      number of function evaluations         212

      number of Jacobian evaluations         197

      exit parameter                           5

      final approximate solution

      -1.1566173e+01  1.3193525e+01 -4.0536878e-01  2.3565540e-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

      -1.1595736e+01  1.3204115e+01 -4.0345958e-01  2.3674399e-01




      problem   14      dimensions    4   20


      initial l2 norm of the residuals  6.1211252e+07

      final l2 norm of the residuals    2.9295445e+02

      number of function evaluations         212

      number of Jacobian evaluations         198

      exit parameter                           5

      final approximate solution

      -1.1585620e+01  1.3200323e+01 -4.0299056e-01  2.3720726e-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

       4.3153666e-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    3.3173509e-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

       5.9620271e-02  1.6670879e-01  2.3917103e-01  3.9888529e-01  3.9888367e-01
       6.0111634e-01  6.0111471e-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

      -5.4691298e-02 -5.4691298e-02 -5.4691298e-02 -5.4691298e-02 -5.4691298e-02
      -5.4691298e-02 -5.4691298e-02 -5.4691298e-02 -5.4691298e-02  1.1546913e+01




      problem   16      dimensions   10   10


      initial l2 norm of the residuals  9.7656240e+06

      final l2 norm of the residuals    5.0009355e-15

      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    1.5987212e-14

      number of function evaluations          22

      number of Jacobian evaluations          20

      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    1.1841974e-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




      problem   16      dimensions   40   40


      initial l2 norm of the residuals  1.2802636e+02

      final l2 norm of the residuals    2.9952031e-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

       3.7541005e-01  1.9358465e+00 -1.4646867e+00  1.2867534e-02  2.2122701e-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  5.9942857e-01  7.5417977e-01
       9.0430008e-01  1.3657995e+00  4.8237319e+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     3     2     1   6.7082039e+00
    2    5   10     3     2     1   1.4638501e+00
    2    5   50     4     2     1   3.4826302e+00
    3    5   10     4     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   2.2204460e-15
    4    2    2     7     5     2   0.0000000e+00
    5    3    3    12     9     2   1.3095172e-24
    5    3    3    20    15     2   3.9349508e-18
    5    3    3    19    16     2   2.9410901e-23
    6    4    4   240   191     5   2.2457141e-21
    6    4    4   238   191     5   1.1058919e-23
    6    4    4   236   192     5   2.6875607e-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    39    38     1   4.1747687e+00
    8    3   15    12    11     1   4.1747688e+00
    9    4   11    18    16     1   1.7535838e-02
    9    4   11    81    73     1   3.2052193e-02
    9    4   11   236   192     5   3.0712644e-02
   10    3   16   126   116     1   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    27    15     2   1.1831146e-03
   11    9   31    27    16     2   1.1831146e-03
   11   12   31    19     9     2   2.1732666e-05
   11   12   31    29    14     2   2.1733705e-05
   11   12   31    45    29     2   6.2295873e-02
   12    3   10     7     6     2   2.4196750e-16
   13    2   10    21    12     1   1.1151779e+01
   14    4   20   212   197     5   2.9295606e+02
   14    4   20    47    36     1   2.9295427e+02
   14    4   20   212   198     5   2.9295445e+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   3.3173509e-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   5.0009355e-15
   16   10   10    22    20     2   1.5987212e-14
   16   30   30    11    10     2   1.1841974e-13
   16   40   40    11    10     2   2.9952031e-13
   17    5   33    18    15     1   7.3924926e-03
   18   11   65    16    12     1   2.0034404e-01
