problem 1, dimensions:  5  10

 Initial L2 norm of the residuals: 5.0
 Final L2 norm of the residuals: 2.23606797749979
 Number of function evaluations: 3
 Number of Jacobian evaluations: 2
 Info value: 3
 Final approximate solution: 

-1.0  -1.0000000000000004  -1.0  -1.0000000000000004  -1.0





 problem 1, dimensions:  5  50

 Initial L2 norm of the residuals: 8.062257748298547
 Final L2 norm of the residuals: 6.708203932499369
 Number of function evaluations: 3
 Number of Jacobian evaluations: 2
 Info value: 3
 Final approximate solution: 

-0.9999999999999953  -1.0000000000000049  -0.9999999999999976  -0.9999999999999956  -0.9999999999999991





 problem 2, dimensions:  5  10

 Initial L2 norm of the residuals: 291.52186881947637
 Final L2 norm of the residuals: 1.4638501094227998
 Number of function evaluations: 3
 Number of Jacobian evaluations: 2
 Info value: 1
 Final approximate solution: 

-167.79681802396928  -83.39840901198468  221.11004307957813  -41.19920450599233  -32.759363604793855





 problem 2, dimensions:  5  50

 Initial L2 norm of the residuals: 3101.6003933453453
 Final L2 norm of the residuals: 3.4826301657349616
 Number of function evaluations: 3
 Number of Jacobian evaluations: 2
 Info value: 1
 Final approximate solution: 

-20.29999900022674  -9.64999950011337  -165.2451975264496  -4.324999750056676  110.53305851006517





 problem 3, dimensions:  5  10

 Initial L2 norm of the residuals: 126.03967629282455
 Final L2 norm of the residuals: 1.9097274212644622
 Number of function evaluations: 3
 Number of Jacobian evaluations: 2
 Info value: 1
 Final approximate solution: 

1.0  -210.3615324224772  32.120420811321296  81.13456824980642  1.0





 problem 3, dimensions:  5  50

 Initial L2 norm of the residuals: 1748.9499706967035
 Final L2 norm of the residuals: 3.6917294022424563
 Number of function evaluations: 3
 Number of Jacobian evaluations: 2
 Info value: 1
 Final approximate solution: 

1.0  332.1494858957815  -439.6851914289522  163.69688258258626  1.0





 problem 4, dimensions:  2  2

 Initial L2 norm of the residuals: 4.919349550499537
 Final L2 norm of the residuals: 0.0
 Number of function evaluations: 21
 Number of Jacobian evaluations: 16
 Info value: 4
 Final approximate solution: 

1.0  1.0






 problem 4, dimensions:  2  2

 Initial L2 norm of the residuals: 1340.063058217784
 Final L2 norm of the residuals: 0.0
 Number of function evaluations: 8
 Number of Jacobian evaluations: 5
 Info value: 2
 Final approximate solution: 

1.0  1.0






 problem 4, dimensions:  2  2

 Initial L2 norm of the residuals: 143000.05119229853
 Final L2 norm of the residuals: 0.0
 Number of function evaluations: 6
 Number of Jacobian evaluations: 4
 Info value: 2
 Final approximate solution: 

1.0  1.0






 problem 5, dimensions:  3  3

 Initial L2 norm of the residuals: 50.0
 Final L2 norm of the residuals: 9.936523103425631E-17
 Number of function evaluations: 11
 Number of Jacobian evaluations: 8
 Info value: 2
 Final approximate solution: 

1.0  -6.243301596789443E-18  0.0






 problem 5, dimensions:  3  3

 Initial L2 norm of the residuals: 102.95630140987001
 Final L2 norm of the residuals: 1.0446788506548094E-19
 Number of function evaluations: 20
 Number of Jacobian evaluations: 15
 Info value: 2
 Final approximate solution: 

1.0  6.563910805155555E-21  0.0






 problem 5, dimensions:  3  3

 Initial L2 norm of the residuals: 991.2618221237011
 Final L2 norm of the residuals: 3.1387778119467796E-29
 Number of function evaluations: 19
 Number of Jacobian evaluations: 16
 Info value: 2
 Final approximate solution: 

1.0  -1.9721522630525295E-30  0.0






 problem 6, dimensions:  4  4

 Initial L2 norm of the residuals: 14.662878298615182
 Final L2 norm of the residuals: 6.109327859207777E-34
 Number of function evaluations: 59
 Number of Jacobian evaluations: 58
 Info value: 4
 Final approximate solution: 

1.6521175961683935E-17  -1.6521175961683934E-18  2.6433881538694683E-18  2.6433881538694683E-18






 problem 6, dimensions:  4  4

 Initial L2 norm of the residuals: 1270.9838708654017
 Final L2 norm of the residuals: 9.103607921611892E-40
 Number of function evaluations: 72
 Number of Jacobian evaluations: 71
 Info value: 4
 Final approximate solution: 

2.0167451125102287E-20  -2.0167451125102287E-21  3.2267921800163004E-21  3.2267921800163004E-21






 problem 6, dimensions:  4  4

 Initial L2 norm of the residuals: 126887.90328474973
 Final L2 norm of the residuals: 2.3305236279326443E-35
 Number of function evaluations: 68
 Number of Jacobian evaluations: 67
 Info value: 4
 Final approximate solution: 

3.226792180016378E-18  -3.226792180016378E-19  5.1628674880262125E-19  5.1628674880262125E-19






 problem 7, dimensions:  2  2

 Initial L2 norm of the residuals: 20.0124960961895
 Final L2 norm of the residuals: 6.998875175845752
 Number of function evaluations: 14
 Number of Jacobian evaluations: 8
 Info value: 1
 Final approximate solution: 

11.412484465499368  -0.8968279137315035






 problem 7, dimensions:  2  2

 Initial L2 norm of the residuals: 12432.833948862986
 Final L2 norm of the residuals: 6.9988751744895055
 Number of function evaluations: 19
 Number of Jacobian evaluations: 12
 Info value: 1
 Final approximate solution: 

11.413004661474561  -0.8967960386859591






 problem 7, dimensions:  2  2

 Initial L2 norm of the residuals: 1.1426454595761977E7
 Final L2 norm of the residuals: 6.998875172429027
 Number of function evaluations: 24
 Number of Jacobian evaluations: 17
 Info value: 1
 Final approximate solution: 

11.412781785788198  -0.8968051074920677






 problem 8, dimensions:  3  15

 Initial L2 norm of the residuals: 6.456136295159668
 Final L2 norm of the residuals: 0.09063596033904667
 Number of function evaluations: 6
 Number of Jacobian evaluations: 5
 Info value: 1
 Final approximate solution: 

0.0824105765758334  1.1330366534715044  2.343694638941154






 problem 8, dimensions:  3  15

 Initial L2 norm of the residuals: 36.141853159678455
 Final L2 norm of the residuals: 4.174768701385386
 Number of function evaluations: 37
 Number of Jacobian evaluations: 36
 Info value: 1
 Final approximate solution: 

0.8406666738183293  -1.5884803325956547E8  -1.6437867165353525E8






 problem 8, dimensions:  3  15

 Initial L2 norm of the residuals: 384.11467863739915
 Final L2 norm of the residuals: 4.1747687013596915
 Number of function evaluations: 14
 Number of Jacobian evaluations: 13
 Info value: 1
 Final approximate solution: 

0.8406666738676455  -1.5894616720551842E8  -1.6446490685777116E8






 problem 9, dimensions:  4  11

 Initial L2 norm of the residuals: 0.07289151028829448
 Final L2 norm of the residuals: 0.017535837721128954
 Number of function evaluations: 18
 Number of Jacobian evaluations: 16
 Info value: 1
 Final approximate solution: 

0.19280781047624931  0.1912626533540709  0.12305280104693087  0.13605322115051674






 problem 9, dimensions:  4  11

 Initial L2 norm of the residuals: 2.9793700755520205
 Final L2 norm of the residuals: 0.032052192917936956
 Number of function evaluations: 78
 Number of Jacobian evaluations: 70
 Info value: 1
 Final approximate solution: 

728675.4737686598  -14.075880312939264  -3.2977797784196608E7  -2.05715941978017E7






 problem 9, dimensions:  4  11

 Initial L2 norm of the residuals: 29.959061701603652
 Final L2 norm of the residuals: 0.01753583967605901
 Number of function evaluations: 500
 Number of Jacobian evaluations: 380
 Info value: 5
 Final approximate solution: 

0.19279840638465487  0.1914736844615448  0.1230924753714115  0.13615096290622444






 problem 10, dimensions:  3  16

 Initial L2 norm of the residuals: 41153.46655430312
 Final L2 norm of the residuals: 9.377945146481972
 Number of function evaluations: 126
 Number of Jacobian evaluations: 116
 Info value: 3
 Final approximate solution: 

0.0056096364769474515  6181.346345409469  345.22363459454954






 problem 10, dimensions:  3  16

 Initial L2 norm of the residuals: 4168216.8913084646
 Final L2 norm of the residuals: 794.6427124380074
 Number of function evaluations: 400
 Number of Jacobian evaluations: 346
 Info value: 5
 Final approximate solution: 

1.2877364137047373E-11  33891.83832784242  904.1030478360261






 problem 11, dimensions:  6  31

 Initial L2 norm of the residuals: 5.477225575051661
 Final L2 norm of the residuals: 0.047829593909760784
 Number of function evaluations: 8
 Number of Jacobian evaluations: 7
 Info value: 1
 Final approximate solution: 

-0.015724961508378207  1.0124348823296547  -0.23299172238767432  1.2604310110281873  -1.51373031394421
0.9929972729184218






 problem 11, dimensions:  6  31

 Initial L2 norm of the residuals: 6433.125789500264
 Final L2 norm of the residuals: 0.047829593909695066
 Number of function evaluations: 14
 Number of Jacobian evaluations: 13
 Info value: 1
 Final approximate solution: 

-0.01572519013866764  1.0124348586010503  -0.2329915458438263  1.260429320891618  -1.5137277670657368
0.992995734263276






 problem 11, dimensions:  6  31

 Initial L2 norm of the residuals: 674256.0406052133
 Final L2 norm of the residuals: 0.04782959391154404
 Number of function evaluations: 15
 Number of Jacobian evaluations: 14
 Info value: 1
 Final approximate solution: 

-0.01572470197125875  1.0124349092565827  -0.23299192276164352  1.26043292929555  -1.513733204527069
0.9929990192232205






 problem 11, dimensions:  9  31

 Initial L2 norm of the residuals: 5.477225575051661
 Final L2 norm of the residuals: 0.0011831145921245528
 Number of function evaluations: 8
 Number of Jacobian evaluations: 7
 Info value: 3
 Final approximate solution: 

-1.5307064416637817E-5  0.9997897039345963  0.014763963491130665  0.14634233014565495  1.0008210945496787
-2.6177311207085894  4.104403139437982  -3.143612262365286  1.0526264037883355






 problem 11, dimensions:  9  31

 Initial L2 norm of the residuals: 12088.127069307002
 Final L2 norm of the residuals: 0.0011831145921246938
 Number of function evaluations: 19
 Number of Jacobian evaluations: 15
 Info value: 1
 Final approximate solution: 

-1.5307133484974906E-5  0.9997897039412341  0.014763962978614858  0.1463423348188786  1.0008210732137741
-2.617731070847226  4.104403076555856  -3.1436122217871088  1.0526263932259845






 problem 11, dimensions:  9  31

 Initial L2 norm of the residuals: 1269109.2904383382
 Final L2 norm of the residuals: 0.0011831145921243115
 Number of function evaluations: 19
 Number of Jacobian evaluations: 16
 Info value: 3
 Final approximate solution: 

-1.5307036527883916E-5  0.9997897039319498  0.014763963693471917  0.14634232830016955  1.0008211030010976
-2.6177311405107084  4.104403164468549  -3.143612278549893  1.0526264080084904






 problem 11, dimensions:  12  31

 Initial L2 norm of the residuals: 5.477225575051661
 Final L2 norm of the residuals: 2.1731040254851155E-5
 Number of function evaluations: 10
 Number of Jacobian evaluations: 9
 Info value: 3
 Final approximate solution: 

-6.638060467011595E-9  1.0000016441178619  -5.639322103223269E-4  0.3478205405036302  -0.15673150409227554
1.0528151771865197  -3.247271153392391  7.288434897798658  -10.271848241137372  9.074113646924774
-4.541375466623413  1.0120118885391882






 problem 11, dimensions:  12  31

 Initial L2 norm of the residuals: 19220.758979095073
 Final L2 norm of the residuals: 2.173104025099853E-5
 Number of function evaluations: 13
 Number of Jacobian evaluations: 12
 Info value: 3
 Final approximate solution: 

-6.637102237178952E-9  1.0000016441178736  -5.639322084840861E-4  0.3478205404902133  -0.15673150398741292
1.0528151767151042  -3.2472711520624813  7.2884348953906635  -10.271848238337261  9.07411364490592
-4.541375465802633  1.0120118883957452






 problem 11, dimensions:  12  31

 Initial L2 norm of the residuals: 2018918.0446236664
 Final L2 norm of the residuals: 2.1731040254487666E-5
 Number of function evaluations: 34
 Number of Jacobian evaluations: 28
 Info value: 2
 Final approximate solution: 

-6.638060465675741E-9  1.0000016441178616  -5.639322102727471E-4  0.347820540502482  -0.15673150408106282
1.052815177127253  -3.247271153204238  7.288434897423372  -10.27184824066345  9.07411364655705
-4.541375466463498  1.012011888509363






 problem 12, dimensions:  3  10

 Initial L2 norm of the residuals: 32.11158374495718
 Final L2 norm of the residuals: 2.830524433501838E-16
 Number of function evaluations: 7
 Number of Jacobian evaluations: 6
 Info value: 2
 Final approximate solution: 

1.0000000000000004  9.999999999999993  0.9999999999999998






 problem 13, dimensions:  2  10

 Initial L2 norm of the residuals: 64.58564981449433
 Final L2 norm of the residuals: 11.151779341349885
 Number of function evaluations: 21
 Number of Jacobian evaluations: 12
 Info value: 1
 Final approximate solution: 

0.2578199266367936  0.2578299767645596






 problem 14, dimensions:  4  20

 Initial L2 norm of the residuals: 2815.4383916181564
 Final L2 norm of the residuals: 292.95428813224953
 Number of function evaluations: 254
 Number of Jacobian evaluations: 236
 Info value: 1
 Final approximate solution: 

-11.591259284548372  13.202491218157595  -0.40357433281195965  0.23673635421694422






 problem 14, dimensions:  4  20

 Initial L2 norm of the residuals: 555073.3541730687
 Final L2 norm of the residuals: 292.95427058141524
 Number of function evaluations: 53
 Number of Jacobian evaluations: 42
 Info value: 1
 Final approximate solution: 

-11.59592742721171  13.204186692621368  -0.4034173628647447  0.23677114339345418






 problem 14, dimensions:  4  20

 Initial L2 norm of the residuals: 6.121125223385811E7
 Final L2 norm of the residuals: 292.95430615055733
 Number of function evaluations: 237
 Number of Jacobian evaluations: 221
 Info value: 1
 Final approximate solution: 

-11.590259724787412  13.20206289704443  -0.40368814067829156  0.23666498496156751






 problem 15, dimensions:  1  8

 Initial L2 norm of the residuals: 1.886237969077315
 Final L2 norm of the residuals: 1.886237969077315
 Number of function evaluations: 1
 Number of Jacobian evaluations: 1
 Info value: 4
 Final approximate solution: 

0.5






 problem 15, dimensions:  1  8

 Initial L2 norm of the residuals: 5.383344372340053E9
 Final L2 norm of the residuals: 1.8842482049995073
 Number of function evaluations: 29
 Number of Jacobian evaluations: 28
 Info value: 1
 Final approximate solution: 

0.9817314924683995






 problem 15, dimensions:  1  8

 Initial L2 norm of the residuals: 1.18088726698391731E18
 Final L2 norm of the residuals: 1.8842482049934663
 Number of function evaluations: 47
 Number of Jacobian evaluations: 46
 Info value: 1
 Final approximate solution: 

0.9817314852933997






 problem 15, dimensions:  8  8

 Initial L2 norm of the residuals: 0.1965138628339747
 Final L2 norm of the residuals: 0.05930323550467261
 Number of function evaluations: 39
 Number of Jacobian evaluations: 20
 Info value: 1
 Final approximate solution: 

0.043153664858738824  0.19309163784327368  0.2663285938126948  0.4999993346289514  0.5000006653710486
0.7336714061873052  0.8069083621567262  0.9568463351412612






 problem 15, dimensions:  9  9

 Initial L2 norm of the residuals: 0.16994993465202024
 Final L2 norm of the residuals: 1.7600835153242613E-16
 Number of function evaluations: 12
 Number of Jacobian evaluations: 9
 Info value: 2
 Final approximate solution: 

0.04420534613578274  0.19949067230988088  0.23561910847106005  0.4160469078925979  0.5000000000000001
0.5839530921074019  0.7643808915289401  0.800509327690119  0.9557946538642172






 problem 15, dimensions:  10  10

 Initial L2 norm of the residuals: 0.18374783117871077
 Final L2 norm of the residuals: 0.08064710040382533
 Number of function evaluations: 25
 Number of Jacobian evaluations: 12
 Info value: 1
 Final approximate solution: 

0.05962026717536065  0.16670878380594403  0.2391710188135143  0.3988852903458887  0.39888366787106483
0.6011163321289351  0.6011147096541113  0.7608289811864857  0.833291216194056  0.9403797328246394





 problem 16, dimensions:  10  10

 Initial L2 norm of the residuals: 16.530216206349944
 Final L2 norm of the residuals: 8.662585850030506E-15
 Number of function evaluations: 14
 Number of Jacobian evaluations: 12
 Info value: 2
 Final approximate solution: 

0.9794303033498624  0.9794303033498624  0.9794303033498624  0.9794303033498624  0.9794303033498624
0.9794303033498624  0.9794303033498624  0.9794303033498624  0.9794303033498624  1.2056969665013761





 problem 16, dimensions:  10  10

 Initial L2 norm of the residuals: 9765624.000892108
 Final L2 norm of the residuals: 5.0009355010672645E-15
 Number of function evaluations: 13
 Number of Jacobian evaluations: 8
 Info value: 2
 Final approximate solution: 

0.9794303033498634  0.9794303033498634  0.9794303033498634  0.9794303033498634  0.9794303033498634
0.9794303033498634  0.9794303033498634  0.9794303033498634  0.9794303033498634  1.2056969665013657





 problem 16, dimensions:  10  10

 Initial L2 norm of the residuals: 9.765625E16
 Final L2 norm of the residuals: 5.329070518200751E-15
 Number of function evaluations: 22
 Number of Jacobian evaluations: 20
 Info value: 2
 Final approximate solution: 

1.0000000000000018  1.0000000000000018  1.0000000000000018  1.0000000000000018  1.0000000000000018
1.0000000000000018  1.0000000000000018  1.0000000000000018  1.0000000000000018  0.999999999999984





 problem 16, dimensions:  30  30

 Initial L2 norm of the residuals: 83.476044467848
 Final L2 norm of the residuals: 1.48278587478574E-13
 Number of function evaluations: 19
 Number of Jacobian evaluations: 14
 Info value: 2
 Final approximate solution: 

0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221
0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221
0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221
0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221
0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221
0.9977542164428221  0.9977542164428221  0.9977542164428221  0.9977542164428221  1.0673735067153223





 problem 16, dimensions:  40  40

 Initial L2 norm of the residuals: 128.02636447232265
 Final L2 norm of the residuals: 2.024535445435496E-13
 Number of function evaluations: 19
 Number of Jacobian evaluations: 14
 Info value: 2
 Final approximate solution: 

1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058
1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058
1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058
1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058
1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058
1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058
1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058
1.0000000000000058  1.0000000000000058  1.0000000000000058  1.0000000000000058  0.9999999999997748





 problem 17, dimensions:  5  33

 Initial L2 norm of the residuals: 0.9375640210378385
 Final L2 norm of the residuals: 0.007392492609048634
 Number of function evaluations: 18
 Number of Jacobian evaluations: 15
 Info value: 1
 Final approximate solution: 

0.3754100492440246  1.935846545431003  -1.464686767487082  0.012867533911043765  0.022122701181307897





 problem 18, dimensions:  11  65

 Initial L2 norm of the residuals: 1.4468654098471165
 Final L2 norm of the residuals: 0.20034404483313994
 Number of function evaluations: 16
 Number of Jacobian evaluations: 12
 Info value: 1
 Final approximate solution: 

1.3099766381009625  0.4315524807599997  0.6336612616028594  0.5994285609916952  0.7541797682724487
0.9043000823785182  1.3657994952100745  4.8237319974810715  2.3986847510487106  4.568875547914517
5.67534206273052




 Summary of 53 calls to lmder1: 



nprob n m  nfev njev info  final L2 norm 

 1   5  10    3    2  3  2.23606797749979
 1   5  50    3    2  3  6.708203932499369
 2   5  10    3    2  1  1.4638501094227998
 2   5  50    3    2  1  3.4826301657349616
 3   5  10    3    2  1  1.9097274212644622
 3   5  50    3    2  1  3.6917294022424563
 4   2   2   21   16  4  0.0
 4   2   2    8    5  2  0.0
 4   2   2    6    4  2  0.0
 5   3   3   11    8  2  9.936523103425631E-17
 5   3   3   20   15  2  1.0446788506548094E-19
 5   3   3   19   16  2  3.1387778119467796E-29
 6   4   4   59   58  4  6.109327859207777E-34
 6   4   4   72   71  4  9.103607921611892E-40
 6   4   4   68   67  4  2.3305236279326443E-35
 7   2   2   14    8  1  6.998875175845752
 7   2   2   19   12  1  6.9988751744895055
 7   2   2   24   17  1  6.998875172429027
 8   3  15    6    5  1  0.09063596033904667
 8   3  15   37   36  1  4.174768701385386
 8   3  15   14   13  1  4.1747687013596915
 9   4  11   18   16  1  0.017535837721128954
 9   4  11   78   70  1  0.032052192917936956
 9   4  11  500  380  5  0.01753583967605901
10   3  16  126  116  3  9.377945146481972
10   3  16  400  346  5  794.6427124380074
11   6  31    8    7  1  0.047829593909760784
11   6  31   14   13  1  0.047829593909695066
11   6  31   15   14  1  0.04782959391154404
11   9  31    8    7  3  0.0011831145921245528
11   9  31   19   15  1  0.0011831145921246938
11   9  31   19   16  3  0.0011831145921243115
11  12  31   10    9  3  2.1731040254851155E-5
11  12  31   13   12  3  2.173104025099853E-5
11  12  31   34   28  2  2.1731040254487666E-5
12   3  10    7    6  2  2.830524433501838E-16
13   2  10   21   12  1  11.151779341349885
14   4  20  254  236  1  292.95428813224953
14   4  20   53   42  1  292.95427058141524
14   4  20  237  221  1  292.95430615055733
15   1   8    1    1  4  1.886237969077315
15   1   8   29   28  1  1.8842482049995073
15   1   8   47   46  1  1.8842482049934663
15   8   8   39   20  1  0.05930323550467261
15   9   9   12    9  2  1.7600835153242613E-16
15  10  10   25   12  1  0.08064710040382533
16  10  10   14   12  2  8.662585850030506E-15
16  10  10   13    8  2  5.0009355010672645E-15
16  10  10   22   20  2  5.329070518200751E-15
16  30  30   19   14  2  1.48278587478574E-13
16  40  40   19   14  2  2.024535445435496E-13
17   5  33   18   15  1  0.007392492609048634
18  11  65   16   12  1  0.20034404483313994