problem 1 dimensions 5 10
initial l2 norm of the residuals 0.5000000D+01
final l2 norm of the residuals 0.2236068D+01
number of function evaluations 4
number of jacobian evaluations 3
exit parameter 3
final approximate solution
-0.1000000D+01 -0.1000000D+01 -0.1000000D+01 -0.1000000D+01 -0.1000000D+01
problem 1 dimensions 5 50
initial l2 norm of the residuals 0.8062258D+01
final l2 norm of the residuals 0.6708204D+01
number of function evaluations 3
number of jacobian evaluations 2
exit parameter 1
final approximate solution
-0.9999999D+00 -0.9999999D+00 -0.9999999D+00 -0.9999999D+00 -0.9999999D+00
problem 2 dimensions 5 10
initial l2 norm of the residuals 0.2915219D+03
final l2 norm of the residuals 0.1463850D+01
number of function evaluations 3
number of jacobian evaluations 2
exit parameter 1
final approximate solution
-0.1908601D+02 -0.9043005D+01 0.1830188D+03 -0.4021503D+01 -0.9913113D+02
problem 2 dimensions 5 50
initial l2 norm of the residuals 0.3101600D+04
final l2 norm of the residuals 0.3482630D+01
number of function evaluations 4
number of jacobian evaluations 2
exit parameter 1
final approximate solution
-0.2683641D+03 -0.1336820D+03 0.1016999D+03 -0.6634101D+02 0.9920446D+02
problem 3 dimensions 5 10
initial l2 norm of the residuals 0.1260397D+03
final l2 norm of the residuals 0.1909727D+01
number of function evaluations 3
number of jacobian evaluations 2
exit parameter 1
final approximate solution
0.1000000D+01 -0.2123137D+03 0.1047127D+03 0.2766643D+02 0.1000000D+01
problem 3 dimensions 5 50
initial l2 norm of the residuals 0.1748950D+04
final l2 norm of the residuals 0.3691729D+01
number of function evaluations 3
number of jacobian evaluations 2
exit parameter 1
final approximate solution
0.1000000D+01 -0.1936772D+03 0.1249869D+03 0.3106206D+01 0.1000000D+01
problem 4 dimensions 2 2
initial l2 norm of the residuals 0.4919350D+01
final l2 norm of the residuals 0.0000000D+00
number of function evaluations 22
number of jacobian evaluations 16
exit parameter 2
final approximate solution
0.1000000D+01 0.1000000D+01
problem 4 dimensions 2 2
initial l2 norm of the residuals 0.1340063D+04
final l2 norm of the residuals 0.2220446D-14
number of function evaluations 8
number of jacobian evaluations 5
exit parameter 2
final approximate solution
0.1000000D+01 0.1000000D+01
problem 4 dimensions 2 2
initial l2 norm of the residuals 0.1430001D+06
final l2 norm of the residuals 0.0000000D+00
number of function evaluations 7
number of jacobian evaluations 5
exit parameter 2
final approximate solution
0.1000000D+01 0.1000000D+01
problem 5 dimensions 3 3
initial l2 norm of the residuals 0.5000000D+02
final l2 norm of the residuals 0.7006364D-15
number of function evaluations 11
number of jacobian evaluations 8
exit parameter 2
final approximate solution
0.1000000D+01 -0.4402228D-16 0.9737152D-56
problem 5 dimensions 3 3
initial l2 norm of the residuals 0.1029563D+03
final l2 norm of the residuals 0.1005520D-17
number of function evaluations 20
number of jacobian evaluations 15
exit parameter 2
final approximate solution
0.1000000D+01 -0.6317871D-19 0.2945429D-44
problem 5 dimensions 3 3
initial l2 norm of the residuals 0.9912618D+03
final l2 norm of the residuals 0.4250954D-21
number of function evaluations 19
number of jacobian evaluations 16
exit parameter 2
final approximate solution
0.1000000D+01 -0.2670953D-22 0.2420102-101
problem 6 dimensions 4 4
initial l2 norm of the residuals 0.1466288D+02
final l2 norm of the residuals 0.3534492D-20
number of function evaluations 236
number of jacobian evaluations 191
exit parameter 5
final approximate solution
0.5060282D-10 -0.5060282D-11 0.2179448D-10 0.2179448D-10
problem 6 dimensions 4 4
initial l2 norm of the residuals 0.1270984D+04
final l2 norm of the residuals 0.3210172D-20
number of function evaluations 236
number of jacobian evaluations 191
exit parameter 5
final approximate solution
0.4786194D-10 -0.4786194D-11 0.2257027D-10 0.2257027D-10
problem 6 dimensions 4 4
initial l2 norm of the residuals 0.1268879D+06
final l2 norm of the residuals 0.6000693D-21
number of function evaluations 236
number of jacobian evaluations 192
exit parameter 5
final approximate solution
0.2068262D-10 -0.2068262D-11 0.9778949D-11 0.9778949D-11
problem 7 dimensions 2 2
initial l2 norm of the residuals 0.2001250D+02
final l2 norm of the residuals 0.6998875D+01
number of function evaluations 14
number of jacobian evaluations 8
exit parameter 1
final approximate solution
0.1141248D+02 -0.8968279D+00
problem 7 dimensions 2 2
initial l2 norm of the residuals 0.1243283D+05
final l2 norm of the residuals 0.6998875D+01
number of function evaluations 19
number of jacobian evaluations 12
exit parameter 1
final approximate solution
0.1141300D+02 -0.8967960D+00
problem 7 dimensions 2 2
initial l2 norm of the residuals 0.1142645D+08
final l2 norm of the residuals 0.6998875D+01
number of function evaluations 24
number of jacobian evaluations 17
exit parameter 1
final approximate solution
0.1141278D+02 -0.8968051D+00
problem 8 dimensions 3 15
initial l2 norm of the residuals 0.6456136D+01
final l2 norm of the residuals 0.9063596D-01
number of function evaluations 6
number of jacobian evaluations 5
exit parameter 1
final approximate solution
0.8241058D-01 0.1133037D+01 0.2343695D+01
problem 8 dimensions 3 15
initial l2 norm of the residuals 0.3614185D+02
final l2 norm of the residuals 0.4174769D+01
number of function evaluations 39
number of jacobian evaluations 38
exit parameter 1
final approximate solution
0.8406667D+00 -0.1081839D+09 -0.1092876D+09
problem 8 dimensions 3 15
initial l2 norm of the residuals 0.3841147D+03
final l2 norm of the residuals 0.4174769D+01
number of function evaluations 13
number of jacobian evaluations 12
exit parameter 1
final approximate solution
0.8406667D+00 -0.1559504D+09 -0.1575481D+09
problem 9 dimensions 4 11
initial l2 norm of the residuals 0.7289151D-01
final l2 norm of the residuals 0.1753584D-01
number of function evaluations 18
number of jacobian evaluations 16
exit parameter 1
final approximate solution
0.1928078D+00 0.1912626D+00 0.1230528D+00 0.1360532D+00
problem 9 dimensions 4 11
initial l2 norm of the residuals 0.2979370D+01
final l2 norm of the residuals 0.3205219D-01
number of function evaluations 78
number of jacobian evaluations 69
exit parameter 1
final approximate solution
0.2334078D+06 -0.1407588D+02 -0.1056337D+08 -0.6589445D+07
problem 9 dimensions 4 11
initial l2 norm of the residuals 0.2995906D+02
final l2 norm of the residuals 0.3070754D-01
number of function evaluations 229
number of jacobian evaluations 193
exit parameter 5
final approximate solution
0.4094946D-02 0.5787853D+03 0.7273226D+01 0.4912842D+01
problem 10 dimensions 3 16
initial l2 norm of the residuals 0.4115347D+05
final l2 norm of the residuals 0.9377945D+01
number of function evaluations 126
number of jacobian evaluations 116
exit parameter 1
final approximate solution
0.5609635D-02 0.6181347D+04 0.3452236D+03
problem 10 dimensions 3 16
initial l2 norm of the residuals 0.4168217D+07
final l2 norm of the residuals 0.6237599D+05
number of function evaluations 4
number of jacobian evaluations 3
exit parameter 4
final approximate solution
0.1382351D+01 -0.3663635D+04 -0.2257387D+02
problem 11 dimensions 6 31
initial l2 norm of the residuals 0.5477226D+01
final l2 norm of the residuals 0.5104662D-01
number of function evaluations 8
number of jacobian evaluations 7
exit parameter 1
final approximate solution
-0.1389015D-23 0.1013638D+01 -0.2443031D+00 0.1373770D+01 -0.1685638D+01
0.1098097D+01
problem 11 dimensions 6 31
initial l2 norm of the residuals 0.6433126D+04
final l2 norm of the residuals 0.4782959D-01
number of function evaluations 14
number of jacobian evaluations 13
exit parameter 1
final approximate solution
-0.1572519D-01 0.1012435D+01 -0.2329916D+00 0.1260430D+01 -0.1513728D+01
0.9929958D+00
problem 11 dimensions 6 31
initial l2 norm of the residuals 0.6742560D+06
final l2 norm of the residuals 0.4782959D-01
number of function evaluations 15
number of jacobian evaluations 14
exit parameter 1
final approximate solution
-0.1572467D-01 0.1012435D+01 -0.2329920D+00 0.1260433D+01 -0.1513734D+01
0.9929993D+00
problem 11 dimensions 9 31
initial l2 norm of the residuals 0.5477226D+01
final l2 norm of the residuals 0.1183214D-02
number of function evaluations 8
number of jacobian evaluations 7
exit parameter 1
final approximate solution
0.1403007D-21 0.9997897D+00 0.1478124D-01 0.1463181D+00 0.1000963D+01
-0.2618099D+01 0.4104966D+01 -0.3144049D+01 0.1052771D+01
problem 11 dimensions 9 31
initial l2 norm of the residuals 0.1208813D+05
final l2 norm of the residuals 0.1183115D-02
number of function evaluations 27
number of jacobian evaluations 14
exit parameter 2
final approximate solution
-0.1478202D-04 0.9997897D+00 0.1476277D-01 0.1463607D+00 0.1000732D+01
-0.2617503D+01 0.4104093D+01 -0.3143399D+01 0.1052568D+01
problem 11 dimensions 9 31
initial l2 norm of the residuals 0.1269109D+07
final l2 norm of the residuals 0.1183115D-02
number of function evaluations 29
number of jacobian evaluations 18
exit parameter 2
final approximate solution
-0.1464026D-04 0.9997898D+00 0.1476334D-01 0.1463504D+00 0.1000790D+01
-0.2617659D+01 0.4104311D+01 -0.3143551D+01 0.1052610D+01
problem 11 dimensions 12 31
initial l2 norm of the residuals 0.5477226D+01
final l2 norm of the residuals 0.2173133D-04
number of function evaluations 20
number of jacobian evaluations 9
exit parameter 2
final approximate solution
-0.1847464D-22 0.1000002D+01 -0.5591209D-03 0.3477343D+00 -0.1560269D+00
0.1049583D+01 -0.3238170D+01 0.7272080D+01 -0.1025301D+02 0.9060648D+01
-0.4535933D+01 0.1011061D+01
problem 11 dimensions 12 31
initial l2 norm of the residuals 0.1922076D+05
final l2 norm of the residuals 0.2173463D-04
number of function evaluations 29
number of jacobian evaluations 13
exit parameter 2
final approximate solution
0.1661030D-07 0.1000002D+01 -0.5506909D-03 0.3475833D+00 -0.1547863D+00
0.1043810D+01 -0.3221603D+01 0.7241702D+01 -0.1021731D+02 0.9034630D+01
-0.4525220D+01 0.1009156D+01
problem 11 dimensions 12 31
initial l2 norm of the residuals 0.2018918D+07
final l2 norm of the residuals 0.2173382D-04
number of function evaluations 54
number of jacobian evaluations 32
exit parameter 2
final approximate solution
-0.9429262D-07 0.1000002D+01 -0.5727445D-03 0.3479955D+00 -0.1582666D+00
0.1060242D+01 -0.3269101D+01 0.7329105D+01 -0.1032018D+02 0.9109652D+01
-0.4556117D+01 0.1014651D+01
problem 12 dimensions 3 10
initial l2 norm of the residuals 0.3211158D+02
final l2 norm of the residuals 0.2149938D-15
number of function evaluations 7
number of jacobian evaluations 6
exit parameter 2
final approximate solution
0.1000000D+01 0.1000000D+02 0.1000000D+01
problem 13 dimensions 2 10
initial l2 norm of the residuals 0.6458565D+02
final l2 norm of the residuals 0.1115178D+02
number of function evaluations 21
number of jacobian evaluations 12
exit parameter 1
final approximate solution
0.2578199D+00 0.2578300D+00
problem 14 dimensions 4 20
initial l2 norm of the residuals 0.2815438D+04
final l2 norm of the residuals 0.2929553D+03
number of function evaluations 213
number of jacobian evaluations 197
exit parameter 5
final approximate solution
-0.1157301D+02 0.1319597D+02 -0.4073326D+00 0.2337164D+00
problem 14 dimensions 4 20
initial l2 norm of the residuals 0.5550734D+06
final l2 norm of the residuals 0.2929543D+03
number of function evaluations 46
number of jacobian evaluations 35
exit parameter 1
final approximate solution
-0.1159539D+02 0.1320398D+02 -0.4031794D+00 0.2369571D+00
problem 14 dimensions 4 20
initial l2 norm of the residuals 0.6121125D+08
final l2 norm of the residuals 0.2929544D+03
number of function evaluations 212
number of jacobian evaluations 198
exit parameter 5
final approximate solution
-0.1158591D+02 0.1320043D+02 -0.4036301D+00 0.2367584D+00
problem 15 dimensions 1 8
initial l2 norm of the residuals 0.1886238D+01
final l2 norm of the residuals 0.1886238D+01
number of function evaluations 2
number of jacobian evaluations 1
exit parameter 1
final approximate solution
0.5000000D+00
problem 15 dimensions 1 8
initial l2 norm of the residuals 0.5383344D+10
final l2 norm of the residuals 0.1884248D+01
number of function evaluations 29
number of jacobian evaluations 28
exit parameter 1
final approximate solution
0.9817315D+00
problem 15 dimensions 1 8
initial l2 norm of the residuals 0.1180887D+19
final l2 norm of the residuals 0.1884248D+01
number of function evaluations 47
number of jacobian evaluations 46
exit parameter 1
final approximate solution
0.9817315D+00
problem 15 dimensions 8 8
initial l2 norm of the residuals 0.1965139D+00
final l2 norm of the residuals 0.5930324D-01
number of function evaluations 39
number of jacobian evaluations 20
exit parameter 1
final approximate solution
0.4315367D-01 0.1930916D+00 0.2663286D+00 0.4999993D+00 0.5000007D+00
0.7336714D+00 0.8069084D+00 0.9568463D+00
problem 15 dimensions 9 9
initial l2 norm of the residuals 0.1699499D+00
final l2 norm of the residuals 0.5598503D-15
number of function evaluations 12
number of jacobian evaluations 9
exit parameter 2
final approximate solution
0.4420535D-01 0.1994907D+00 0.2356191D+00 0.4160469D+00 0.5000000D+00
0.5839531D+00 0.7643809D+00 0.8005093D+00 0.9557947D+00
problem 15 dimensions 10 10
initial l2 norm of the residuals 0.1837478D+00
final l2 norm of the residuals 0.8064710D-01
number of function evaluations 25
number of jacobian evaluations 12
exit parameter 1
final approximate solution
0.5962027D-01 0.1667088D+00 0.2391710D+00 0.3988853D+00 0.3988837D+00
0.6011163D+00 0.6011147D+00 0.7608290D+00 0.8332912D+00 0.9403797D+00
problem 16 dimensions 10 10
initial l2 norm of the residuals 0.1653022D+02
final l2 norm of the residuals 0.1000000D+01
number of function evaluations 7
number of jacobian evaluations 5
exit parameter 1
final approximate solution
-0.5469128D-01 -0.5469128D-01 -0.5469128D-01 -0.5469128D-01 -0.5469128D-01
-0.5469128D-01 -0.5469128D-01 -0.5469128D-01 -0.5469128D-01 0.1154691D+02
problem 16 dimensions 10 10
initial l2 norm of the residuals 0.9765624D+07
final l2 norm of the residuals 0.1232398D-13
number of function evaluations 13
number of jacobian evaluations 8
exit parameter 2
final approximate solution
0.9794303D+00 0.9794303D+00 0.9794303D+00 0.9794303D+00 0.9794303D+00
0.9794303D+00 0.9794303D+00 0.9794303D+00 0.9794303D+00 0.1205697D+01
problem 16 dimensions 10 10
initial l2 norm of the residuals 0.9765625D+17
final l2 norm of the residuals 0.1000000D+01
number of function evaluations 34
number of jacobian evaluations 32
exit parameter 1
final approximate solution
-0.5465901D-02 -0.5465901D-02 -0.5465901D-02 -0.5465901D-02 -0.5465901D-02
-0.5465901D-02 -0.5465901D-02 -0.5465901D-02 -0.5465901D-02 0.1105466D+02
problem 16 dimensions 30 30
initial l2 norm of the residuals 0.8347604D+02
final l2 norm of the residuals 0.1834583D-12
number of function evaluations 11
number of jacobian evaluations 10
exit parameter 2
final approximate solution
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
problem 16 dimensions 40 40
initial l2 norm of the residuals 0.1280264D+03
final l2 norm of the residuals 0.1137068D-12
number of function evaluations 11
number of jacobian evaluations 10
exit parameter 2
final approximate solution
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01 0.1000000D+01
problem 17 dimensions 5 33
initial l2 norm of the residuals 0.9375640D+00
final l2 norm of the residuals 0.7392493D-02
number of function evaluations 18
number of jacobian evaluations 15
exit parameter 1
final approximate solution
0.3754100D+00 0.1935845D+01 -0.1464686D+01 0.1286753D-01 0.2212271D-01
problem 18 dimensions 11 65
initial l2 norm of the residuals 0.1446865D+01
final l2 norm of the residuals 0.2003440D+00
number of function evaluations 16
number of jacobian evaluations 12
exit parameter 1
final approximate solution
0.1309977D+01 0.4315525D+00 0.6336613D+00 0.5994286D+00 0.7541798D+00
0.9043001D+00 0.1365800D+01 0.4823732D+01 0.2398685D+01 0.4568876D+01
0.5675342D+01
summary of 53 calls to lmdif1
nprob n m nfev njev info final l2 norm
1 5 10 4 3 3 0.2236068D+01
1 5 50 3 2 1 0.6708204D+01
2 5 10 3 2 1 0.1463850D+01
2 5 50 4 2 1 0.3482630D+01
3 5 10 3 2 1 0.1909727D+01
3 5 50 3 2 1 0.3691729D+01
4 2 2 22 16 2 0.0000000D+00
4 2 2 8 5 2 0.2220446D-14
4 2 2 7 5 2 0.0000000D+00
5 3 3 11 8 2 0.7006364D-15
5 3 3 20 15 2 0.1005520D-17
5 3 3 19 16 2 0.4250954D-21
6 4 4 236 191 5 0.3534492D-20
6 4 4 236 191 5 0.3210172D-20
6 4 4 236 192 5 0.6000693D-21
7 2 2 14 8 1 0.6998875D+01
7 2 2 19 12 1 0.6998875D+01
7 2 2 24 17 1 0.6998875D+01
8 3 15 6 5 1 0.9063596D-01
8 3 15 39 38 1 0.4174769D+01
8 3 15 13 12 1 0.4174769D+01
9 4 11 18 16 1 0.1753584D-01
9 4 11 78 69 1 0.3205219D-01
9 4 11 229 193 5 0.3070754D-01
10 3 16 126 116 1 0.9377945D+01
10 3 16 4 3 4 0.6237599D+05
11 6 31 8 7 1 0.5104662D-01
11 6 31 14 13 1 0.4782959D-01
11 6 31 15 14 1 0.4782959D-01
11 9 31 8 7 1 0.1183214D-02
11 9 31 27 14 2 0.1183115D-02
11 9 31 29 18 2 0.1183115D-02
11 12 31 20 9 2 0.2173133D-04
11 12 31 29 13 2 0.2173463D-04
11 12 31 54 32 2 0.2173382D-04
12 3 10 7 6 2 0.2149938D-15
13 2 10 21 12 1 0.1115178D+02
14 4 20 213 197 5 0.2929553D+03
14 4 20 46 35 1 0.2929543D+03
14 4 20 212 198 5 0.2929544D+03
15 1 8 2 1 1 0.1886238D+01
15 1 8 29 28 1 0.1884248D+01
15 1 8 47 46 1 0.1884248D+01
15 8 8 39 20 1 0.5930324D-01
15 9 9 12 9 2 0.5598503D-15
15 10 10 25 12 1 0.8064710D-01
16 10 10 7 5 1 0.1000000D+01
16 10 10 13 8 2 0.1232398D-13
16 10 10 34 32 1 0.1000000D+01
16 30 30 11 10 2 0.1834583D-12
16 40 40 11 10 2 0.1137068D-12
17 5 33 18 15 1 0.7392493D-02
18 11 65 16 12 1 0.2003440D+00