```

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: 9.377945146500146
Number of function evaluations: 126
Number of Jacobian evaluations: 116
Info value: 2
Final approximate solution:

0.005609636471027474  6181.346346286459  345.22363462413944

problem 10, dimensions:  3  16

Initial L2 norm of the residuals: 4168216.8913084646
Final L2 norm of the residuals: 794.6457395950366
Number of function evaluations: 400
Number of Jacobian evaluations: 346
Info value: 5
Final approximate solution:

1.2875127962295066E-11  33892.178203628195  904.1079537236112

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  0.25782997676455954

problem 14, dimensions:  4  20

Initial L2 norm of the residuals: 2815.4383916181564
Final L2 norm of the residuals: 292.9542881971791
Number of function evaluations: 254
Number of Jacobian evaluations: 236
Info value: 1
Final approximate solution:

-11.591254742128914  13.202489591596645  -0.40357451022643537  0.23673630673283072

problem 14, dimensions:  4  20

Initial L2 norm of the residuals: 555073.3541730687
Final L2 norm of the residuals: 292.9542705814151
Number of function evaluations: 53
Number of Jacobian evaluations: 42
Info value: 1
Final approximate solution:

-11.595927427208611  13.204186692620365  -0.40341736287510793  0.23677114338587626

problem 14, dimensions:  4  20

Initial L2 norm of the residuals: 6.121125223385811E7
Final L2 norm of the residuals: 292.954306154428
Number of function evaluations: 237
Number of Jacobian evaluations: 221
Info value: 1
Final approximate solution:

-11.590259516826578  13.202062819482647  -0.4036876869986864  0.23666529945767772

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: 0.0073924926090482915
Number of function evaluations: 18
Number of Jacobian evaluations: 15
Info value: 1
Final approximate solution:

0.3754100492440247  1.9358465454310256  -1.464686767487105  0.012867533911043809  0.0221227011813078

problem 18, dimensions:  11  65

Initial L2 norm of the residuals: 1.4468654098471163
Final L2 norm of the residuals: 0.20034404483313992
Number of function evaluations: 16
Number of Jacobian evaluations: 12
Info value: 1
Final approximate solution:

1.3099766381009625  0.43155248075999975  0.6336612616028594  0.5994285609916951  0.7541797682724488
0.9043000823785183  1.365799495210074  4.8237319974810715  2.39868475104871  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  2  9.377945146500146
10   3  16  400  346  5  794.6457395950366
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  292.9542881971791
14   4  20   53   42  1  292.9542705814151
14   4  20  237  221  1  292.954306154428
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  0.0073924926090482915
18  11  65   16   12  1  0.20034404483313992
```