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 3
number of jacobian evaluations 2
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 3
final approximate solution
-0.1000000D+01 -0.1000000D+01 -0.1000000D+01 -0.1000000D+01 -0.1000000D+01
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
-0.1677968D+03 -0.8339841D+02 0.2211100D+03 -0.4119920D+02 -0.3275936D+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 3
number of jacobian evaluations 2
exit parameter 1
final approximate solution
-0.2030000D+02 -0.9650000D+01 -0.1652452D+03 -0.4325000D+01 0.1105331D+03
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 -0.2103615D+03 0.3212042D+02 0.8113457D+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 0.3321495D+03 -0.4396852D+03 0.1636969D+03 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 21
number of jacobian evaluations 16
exit parameter 4
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 0.0000000D+00
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 6
number of jacobian evaluations 4
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 0.9936523D-16
number of function evaluations 11
number of jacobian evaluations 8
exit parameter 2
final approximate solution
0.1000000D+01 -0.6243302D-17 0.0000000D+00
problem 5 dimensions 3 3
initial l2 norm of the residuals 0.1029563D+03
final l2 norm of the residuals 0.1044679D-18
number of function evaluations 20
number of jacobian evaluations 15
exit parameter 2
final approximate solution
0.1000000D+01 0.6563911D-20 0.0000000D+00
problem 5 dimensions 3 3
initial l2 norm of the residuals 0.9912618D+03
final l2 norm of the residuals 0.3138778D-28
number of function evaluations 19
number of jacobian evaluations 16
exit parameter 2
final approximate solution
0.1000000D+01 -0.1972152D-29 0.0000000D+00
problem 6 dimensions 4 4
initial l2 norm of the residuals 0.1466288D+02
final l2 norm of the residuals 0.6109328D-33
number of function evaluations 59
number of jacobian evaluations 58
exit parameter 4
final approximate solution
0.1652118D-16 -0.1652118D-17 0.2643388D-17 0.2643388D-17
problem 6 dimensions 4 4
initial l2 norm of the residuals 0.1270984D+04
final l2 norm of the residuals 0.9103608D-39
number of function evaluations 72
number of jacobian evaluations 71
exit parameter 4
final approximate solution
0.2016745D-19 -0.2016745D-20 0.3226792D-20 0.3226792D-20
problem 6 dimensions 4 4
initial l2 norm of the residuals 0.1268879D+06
final l2 norm of the residuals 0.2330524D-34
number of function evaluations 68
number of jacobian evaluations 67
exit parameter 4
final approximate solution
0.3226792D-17 -0.3226792D-18 0.5162867D-18 0.5162867D-18
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 37
number of jacobian evaluations 36
exit parameter 1
final approximate solution
0.8406667D+00 -0.1588480D+09 -0.1643787D+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 14
number of jacobian evaluations 13
exit parameter 1
final approximate solution
0.8406667D+00 -0.1589462D+09 -0.1644649D+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 0.1912627D+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 70
exit parameter 1
final approximate solution
0.7286755D+06 -0.1407588D+02 -0.3297780D+08 -0.2057159D+08
problem 9 dimensions 4 11
initial l2 norm of the residuals 0.2995906D+02
final l2 norm of the residuals 0.1753584D-01
number of function evaluations 500
number of jacobian evaluations 380
exit parameter 5
final approximate solution
0.1927984D+00 0.1914737D+00 0.1230925D+00 0.1361510D+00
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 3
final approximate solution
0.5609636D-02 0.6181346D+04 0.3452236D+03
problem 10 dimensions 3 16
initial l2 norm of the residuals 0.4168217D+07
final l2 norm of the residuals 0.7946427D+03
number of function evaluations 400
number of jacobian evaluations 346
exit parameter 5
final approximate solution
0.1287736D-10 0.3389184D+05 0.9041030D+03
problem 11 dimensions 6 31
initial l2 norm of the residuals 0.5477226D+01
final l2 norm of the residuals 0.4782959D-01
number of function evaluations 8
number of jacobian evaluations 7
exit parameter 1
final approximate solution
-0.1572496D-01 0.1012435D+01 -0.2329917D+00 0.1260431D+01 -0.1513730D+01
0.9929973D+00
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 -0.2329915D+00 0.1260429D+01 -0.1513728D+01
0.9929957D+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
-0.1572470D-01 0.1012435D+01 -0.2329919D+00 0.1260433D+01 -0.1513733D+01
0.9929990D+00
problem 11 dimensions 9 31
initial l2 norm of the residuals 0.5477226D+01
final l2 norm of the residuals 0.1183115D-02
number of function evaluations 8
number of jacobian evaluations 7
exit parameter 3
final approximate solution
-0.1530706D-04 0.9997897D+00 0.1476396D-01 0.1463423D+00 0.1000821D+01
-0.2617731D+01 0.4104403D+01 -0.3143612D+01 0.1052626D+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 19
number of jacobian evaluations 15
exit parameter 1
final approximate solution
-0.1530713D-04 0.9997897D+00 0.1476396D-01 0.1463423D+00 0.1000821D+01
-0.2617731D+01 0.4104403D+01 -0.3143612D+01 0.1052626D+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 19
number of jacobian evaluations 16
exit parameter 3
final approximate solution
-0.1530704D-04 0.9997897D+00 0.1476396D-01 0.1463423D+00 0.1000821D+01
-0.2617731D+01 0.4104403D+01 -0.3143612D+01 0.1052626D+01
problem 11 dimensions 12 31
initial l2 norm of the residuals 0.5477226D+01
final l2 norm of the residuals 0.2173104D-04
number of function evaluations 10
number of jacobian evaluations 9
exit parameter 3
final approximate solution
-0.6638060D-08 0.1000002D+01 -0.5639322D-03 0.3478205D+00 -0.1567315D+00
0.1052815D+01 -0.3247271D+01 0.7288435D+01 -0.1027185D+02 0.9074114D+01
-0.4541375D+01 0.1012012D+01
problem 11 dimensions 12 31
initial l2 norm of the residuals 0.1922076D+05
final l2 norm of the residuals 0.2173104D-04
number of function evaluations 13
number of jacobian evaluations 12
exit parameter 3
final approximate solution
-0.6637102D-08 0.1000002D+01 -0.5639322D-03 0.3478205D+00 -0.1567315D+00
0.1052815D+01 -0.3247271D+01 0.7288435D+01 -0.1027185D+02 0.9074114D+01
-0.4541375D+01 0.1012012D+01
problem 11 dimensions 12 31
initial l2 norm of the residuals 0.2018918D+07
final l2 norm of the residuals 0.2173104D-04
number of function evaluations 34
number of jacobian evaluations 28
exit parameter 2
final approximate solution
-0.6638060D-08 0.1000002D+01 -0.5639322D-03 0.3478205D+00 -0.1567315D+00
0.1052815D+01 -0.3247271D+01 0.7288435D+01 -0.1027185D+02 0.9074114D+01
-0.4541375D+01 0.1012012D+01
problem 12 dimensions 3 10
initial l2 norm of the residuals 0.3211158D+02
final l2 norm of the residuals 0.2830524D-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 0.2929543D+03
number of function evaluations 254
number of jacobian evaluations 236
exit parameter 1
final approximate solution
-0.1159126D+02 0.1320249D+02 -0.4035743D+00 0.2367364D+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 53
number of jacobian evaluations 42
exit parameter 1
final approximate solution
-0.1159593D+02 0.1320419D+02 -0.4034174D+00 0.2367711D+00
problem 14 dimensions 4 20
initial l2 norm of the residuals 0.6121125D+08
final l2 norm of the residuals 0.2929543D+03
number of function evaluations 237
number of jacobian evaluations 221
exit parameter 1
final approximate solution
-0.1159026D+02 0.1320206D+02 -0.4036881D+00 0.2366650D+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 1
number of jacobian evaluations 1
exit parameter 4
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
0.4315366D-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 0.1760084D-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 0.8662586D-14
number of function evaluations 14
number of jacobian evaluations 12
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 0.9765624D+07
final l2 norm of the residuals 0.5000936D-14
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 0.5329071D-14
number of function evaluations 22
number of jacobian evaluations 20
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
problem 16 dimensions 30 30
initial l2 norm of the residuals 0.8347604D+02
final l2 norm of the residuals 0.1482786D-12
number of function evaluations 19
number of jacobian evaluations 14
exit parameter 2
final approximate solution
0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00
0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00
0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00
0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00
0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00
0.9977542D+00 0.9977542D+00 0.9977542D+00 0.9977542D+00 0.1067374D+01
problem 16 dimensions 40 40
initial l2 norm of the residuals 0.1280264D+03
final l2 norm of the residuals 0.2024535D-12
number of function evaluations 19
number of jacobian evaluations 14
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 0.1935847D+01 -0.1464687D+01 0.1286753D-01 0.2212270D-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 0.1365799D+01 0.4823732D+01 0.2398685D+01 0.4568876D+01
0.5675342D+01
summary of 53 calls to lmder1
nprob n m nfev njev info final l2 norm
1 5 10 3 2 3 0.2236068D+01
1 5 50 3 2 3 0.6708204D+01
2 5 10 3 2 1 0.1463850D+01
2 5 50 3 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 21 16 4 0.0000000D+00
4 2 2 8 5 2 0.0000000D+00
4 2 2 6 4 2 0.0000000D+00
5 3 3 11 8 2 0.9936523D-16
5 3 3 20 15 2 0.1044679D-18
5 3 3 19 16 2 0.3138778D-28
6 4 4 59 58 4 0.6109328D-33
6 4 4 72 71 4 0.9103608D-39
6 4 4 68 67 4 0.2330524D-34
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 37 36 1 0.4174769D+01
8 3 15 14 13 1 0.4174769D+01
9 4 11 18 16 1 0.1753584D-01
9 4 11 78 70 1 0.3205219D-01
9 4 11 500 380 5 0.1753584D-01
10 3 16 126 116 3 0.9377945D+01
10 3 16 400 346 5 0.7946427D+03
11 6 31 8 7 1 0.4782959D-01
11 6 31 14 13 1 0.4782959D-01
11 6 31 15 14 1 0.4782959D-01
11 9 31 8 7 3 0.1183115D-02
11 9 31 19 15 1 0.1183115D-02
11 9 31 19 16 3 0.1183115D-02
11 12 31 10 9 3 0.2173104D-04
11 12 31 13 12 3 0.2173104D-04
11 12 31 34 28 2 0.2173104D-04
12 3 10 7 6 2 0.2830524D-15
13 2 10 21 12 1 0.1115178D+02
14 4 20 254 236 1 0.2929543D+03
14 4 20 53 42 1 0.2929543D+03
14 4 20 237 221 1 0.2929543D+03
15 1 8 1 1 4 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 0.1760084D-15
15 10 10 25 12 1 0.8064710D-01
16 10 10 14 12 2 0.8662586D-14
16 10 10 13 8 2 0.5000936D-14
16 10 10 22 20 2 0.5329071D-14
16 30 30 19 14 2 0.1482786D-12
16 40 40 19 14 2 0.2024535D-12
17 5 33 18 15 1 0.7392493D-02
18 11 65 16 12 1 0.2003440D+00