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?? t_lmder.out

?? 開發的lm算法,很有用的一種優化算法. 對非線性優化有很大用處
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     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

     -0.1572470E-01   1.012435     -0.2329919       1.260433      -1.513733    
      0.9929990    




     PROBLEM   11      DIMENSIONS    9   31


     INITIAL L2 NORM OF THE RESIDUALS   5.477226    

     FINAL L2 NORM OF THE RESIDUALS    0.1183115E-02

     NUMBER OF FUNCTION EVALUATIONS           8

     NUMBER OF JACOBIAN EVALUATIONS           7

     EXIT PARAMETER                           3

     FINAL APPROXIMATE SOLUTION

     -0.1530706E-04  0.9997897      0.1476396E-01  0.1463423       1.000821    
      -2.617731       4.104403      -3.143612       1.052626    




     PROBLEM   11      DIMENSIONS    9   31


     INITIAL L2 NORM OF THE RESIDUALS   12088.13    

     FINAL L2 NORM OF THE RESIDUALS    0.1183115E-02

     NUMBER OF FUNCTION EVALUATIONS          20

     NUMBER OF JACOBIAN EVALUATIONS          16

     EXIT PARAMETER                           3

     FINAL APPROXIMATE SOLUTION

     -0.1530704E-04  0.9997897      0.1476396E-01  0.1463423       1.000821    
      -2.617731       4.104403      -3.143612       1.052626    




     PROBLEM   11      DIMENSIONS    9   31


     INITIAL L2 NORM OF THE RESIDUALS   1269109.    

     FINAL L2 NORM OF THE RESIDUALS    0.1183115E-02

     NUMBER OF FUNCTION EVALUATIONS          18

     NUMBER OF JACOBIAN EVALUATIONS          15

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

     -0.1530704E-04  0.9997897      0.1476396E-01  0.1463423       1.000821    
      -2.617731       4.104403      -3.143612       1.052626    




     PROBLEM   11      DIMENSIONS   12   31


     INITIAL L2 NORM OF THE RESIDUALS   5.477226    

     FINAL L2 NORM OF THE RESIDUALS    0.2173104E-04

     NUMBER OF FUNCTION EVALUATIONS          10

     NUMBER OF JACOBIAN EVALUATIONS           9

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

     -0.6638060E-08   1.000002     -0.5639322E-03  0.3478205     -0.1567315    
       1.052815      -3.247271       7.288435      -10.27185       9.074114    
      -4.541375       1.012012    




     PROBLEM   11      DIMENSIONS   12   31


     INITIAL L2 NORM OF THE RESIDUALS   19220.76    

     FINAL L2 NORM OF THE RESIDUALS    0.2173104E-04

     NUMBER OF FUNCTION EVALUATIONS          13

     NUMBER OF JACOBIAN EVALUATIONS          12

     EXIT PARAMETER                           3

     FINAL APPROXIMATE SOLUTION

     -0.6637102E-08   1.000002     -0.5639322E-03  0.3478205     -0.1567315    
       1.052815      -3.247271       7.288435      -10.27185       9.074114    
      -4.541375       1.012012    




     PROBLEM   11      DIMENSIONS   12   31


     INITIAL L2 NORM OF THE RESIDUALS   2018918.    

     FINAL L2 NORM OF THE RESIDUALS    0.2173104E-04

     NUMBER OF FUNCTION EVALUATIONS          34

     NUMBER OF JACOBIAN EVALUATIONS          28

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

     -0.6638060E-08   1.000002     -0.5639322E-03  0.3478205     -0.1567315    
       1.052815      -3.247271       7.288435      -10.27185       9.074114    
      -4.541375       1.012012    




     PROBLEM   12      DIMENSIONS    3   10


     INITIAL L2 NORM OF THE RESIDUALS   32.11158    

     FINAL L2 NORM OF THE RESIDUALS    0.1953220E-15

     NUMBER OF FUNCTION EVALUATIONS           7

     NUMBER OF JACOBIAN EVALUATIONS           6

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

       1.000000       10.00000       1.000000    




     PROBLEM   13      DIMENSIONS    2   10


     INITIAL L2 NORM OF THE RESIDUALS   64.58565    

     FINAL L2 NORM OF THE RESIDUALS     11.15178    

     NUMBER OF FUNCTION EVALUATIONS          21

     NUMBER OF JACOBIAN EVALUATIONS          12

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.2578199      0.2578300    




     PROBLEM   14      DIMENSIONS    4   20


     INITIAL L2 NORM OF THE RESIDUALS   2815.438    

     FINAL L2 NORM OF THE RESIDUALS     292.9543    

     NUMBER OF FUNCTION EVALUATIONS         254

     NUMBER OF JACOBIAN EVALUATIONS         236

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      -11.59125       13.20249     -0.4035746      0.2367363    




     PROBLEM   14      DIMENSIONS    4   20


     INITIAL L2 NORM OF THE RESIDUALS   555073.4    

     FINAL L2 NORM OF THE RESIDUALS     292.9543    

     NUMBER OF FUNCTION EVALUATIONS          53

     NUMBER OF JACOBIAN EVALUATIONS          42

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      -11.59593       13.20419     -0.4034174      0.2367711    




     PROBLEM   14      DIMENSIONS    4   20


     INITIAL L2 NORM OF THE RESIDUALS  0.6121125E+08

     FINAL L2 NORM OF THE RESIDUALS     292.9543    

     NUMBER OF FUNCTION EVALUATIONS         237

     NUMBER OF JACOBIAN EVALUATIONS         221

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      -11.59026       13.20206     -0.4036866      0.2366661    




     PROBLEM   15      DIMENSIONS    1    8


     INITIAL L2 NORM OF THE RESIDUALS   1.886238    

     FINAL L2 NORM OF THE RESIDUALS     1.886238    

     NUMBER OF FUNCTION EVALUATIONS           1

     NUMBER OF JACOBIAN EVALUATIONS           1

     EXIT PARAMETER                           4

     FINAL APPROXIMATE SOLUTION

      0.5000000    




     PROBLEM   15      DIMENSIONS    1    8


     INITIAL L2 NORM OF THE RESIDUALS  0.5383344E+10

     FINAL L2 NORM OF THE RESIDUALS     1.884248    

     NUMBER OF FUNCTION EVALUATIONS          29

     NUMBER OF JACOBIAN EVALUATIONS          28

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.9817315    




     PROBLEM   15      DIMENSIONS    1    8


     INITIAL L2 NORM OF THE RESIDUALS  0.1180887E+19

     FINAL L2 NORM OF THE RESIDUALS     1.884248    

     NUMBER OF FUNCTION EVALUATIONS          47

     NUMBER OF JACOBIAN EVALUATIONS          46

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.9817315    




     PROBLEM   15      DIMENSIONS    8    8


     INITIAL L2 NORM OF THE RESIDUALS  0.1965139    

     FINAL L2 NORM OF THE RESIDUALS    0.5930324E-01

     NUMBER OF FUNCTION EVALUATIONS          39

     NUMBER OF JACOBIAN EVALUATIONS          20

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.4315366E-01  0.1930916      0.2663286      0.4999993      0.5000007    
      0.7336714      0.8069084      0.9568463    




     PROBLEM   15      DIMENSIONS    9    9


     INITIAL L2 NORM OF THE RESIDUALS  0.1699499    

     FINAL L2 NORM OF THE RESIDUALS    0.1084397E-15

     NUMBER OF FUNCTION EVALUATIONS          12

     NUMBER OF JACOBIAN EVALUATIONS           9

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

      0.4420535E-01  0.1994907      0.2356191      0.4160469      0.5000000    
      0.5839531      0.7643809      0.8005093      0.9557947    




     PROBLEM   15      DIMENSIONS   10   10


     INITIAL L2 NORM OF THE RESIDUALS  0.1837478    

     FINAL L2 NORM OF THE RESIDUALS    0.8064710E-01

     NUMBER OF FUNCTION EVALUATIONS          25

     NUMBER OF JACOBIAN EVALUATIONS          12

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.5962027E-01  0.1667088      0.2391710      0.3988853      0.3988837    
      0.6011163      0.6011147      0.7608290      0.8332912      0.9403797    




     PROBLEM   16      DIMENSIONS   10   10


     INITIAL L2 NORM OF THE RESIDUALS   16.53022    

     FINAL L2 NORM OF THE RESIDUALS    0.1733228E-13

     NUMBER OF FUNCTION EVALUATIONS          14

     NUMBER OF JACOBIAN EVALUATIONS          12

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

      0.9794303      0.9794303      0.9794303      0.9794303      0.9794303    
      0.9794303      0.9794303      0.9794303      0.9794303       1.205697    




     PROBLEM   16      DIMENSIONS   10   10


     INITIAL L2 NORM OF THE RESIDUALS   9765624.    

     FINAL L2 NORM OF THE RESIDUALS    0.6332166E-14

     NUMBER OF FUNCTION EVALUATIONS          13

     NUMBER OF JACOBIAN EVALUATIONS           8

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

      0.9794303      0.9794303      0.9794303      0.9794303      0.9794303    
      0.9794303      0.9794303      0.9794303      0.9794303       1.205697    




     PROBLEM   16      DIMENSIONS   10   10


     INITIAL L2 NORM OF THE RESIDUALS  0.9765625E+17

     FINAL L2 NORM OF THE RESIDUALS    0.2334110E-14

     NUMBER OF FUNCTION EVALUATIONS          22

     NUMBER OF JACOBIAN EVALUATIONS          20

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

       1.000000       1.000000       1.000000       1.000000       1.000000    
       1.000000       1.000000       1.000000       1.000000       1.000000    




     PROBLEM   16      DIMENSIONS   30   30


     INITIAL L2 NORM OF THE RESIDUALS   83.47604    

     FINAL L2 NORM OF THE RESIDUALS    0.6636543E-13

     NUMBER OF FUNCTION EVALUATIONS          19

     NUMBER OF JACOBIAN EVALUATIONS          14

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

      0.9977542      0.9977542      0.9977542      0.9977542      0.9977542    
      0.9977542      0.9977542      0.9977542      0.9977542      0.9977542    
      0.9977542      0.9977542      0.9977542      0.9977542      0.9977542    
      0.9977542      0.9977542      0.9977542      0.9977542      0.9977542    
      0.9977542      0.9977542      0.9977542      0.9977542      0.9977542    
      0.9977542      0.9977542      0.9977542      0.9977542       1.067374    




     PROBLEM   16      DIMENSIONS   40   40


     INITIAL L2 NORM OF THE RESIDUALS   128.0264    

     FINAL L2 NORM OF THE RESIDUALS    0.2024535E-12

     NUMBER OF FUNCTION EVALUATIONS          19

     NUMBER OF JACOBIAN EVALUATIONS          14

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

       1.000000       1.000000       1.000000       1.000000       1.000000    
       1.000000       1.000000       1.000000       1.000000       1.000000    
       1.000000       1.000000       1.000000       1.000000       1.000000    
       1.000000       1.000000       1.000000       1.000000       1.000000    
       1.000000       1.000000       1.000000       1.000000       1.000000    
       1.000000       1.000000       1.000000       1.000000       1.000000    
       1.000000       1.000000       1.000000       1.000000       1.000000    
       1.000000       1.000000       1.000000       1.000000       1.000000    




     PROBLEM   17      DIMENSIONS    5   33


     INITIAL L2 NORM OF THE RESIDUALS  0.9375640    

     FINAL L2 NORM OF THE RESIDUALS    0.7392493E-02

     NUMBER OF FUNCTION EVALUATIONS          18

     NUMBER OF JACOBIAN EVALUATIONS          15

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.3754100       1.935847      -1.464687      0.1286753E-01  0.2212270E-01




     PROBLEM   18      DIMENSIONS   11   65


     INITIAL L2 NORM OF THE RESIDUALS   1.446865    

     FINAL L2 NORM OF THE RESIDUALS    0.2003440    

     NUMBER OF FUNCTION EVALUATIONS          16

     NUMBER OF JACOBIAN EVALUATIONS          12

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

       1.309977      0.4315525      0.6336613      0.5994286      0.7541798    
      0.9043001       1.365799       4.823732       2.398685       4.568876    
       5.675342    
SUMMARY OF  53 CALLS TO LMDER1

NPROB   N    M   NFEV  NJEV  INFO  FINAL L2 NORM

   1    5   10     3     2     3    2.236068    
   1    5   50     3     2     3    6.708204    
   2    5   10     3     2     1    1.463850    
   2    5   50     3     2     1    3.482630    
   3    5   10     3     2     1    1.909727    
   3    5   50     3     2     1    3.691729    
   4    2    2    21    16     4   0.0000000    
   4    2    2     8     5     2   0.0000000    
   4    2    2     6     4     2   0.0000000    
   5    3    3    11     8     2   0.9936522E-16
   5    3    3    20    15     2   0.1044675E-18
   5    3    3    19    16     2   0.3452656E-28
   6    4    4    68    62     4   0.5635122E-33
   6    4    4    63    62     4   0.2234380E-33
   6    4    4    65    64     4   0.8558711E-33
   7    2    2    14     8     1    6.998875    
   7    2    2    19    12     1    6.998875    
   7    2    2    24    17     1    6.998875    
   8    3   15     6     5     1   0.9063596E-01
   8    3   15    37    36     1    4.174769    
   8    3   15    14    13     1    4.174769    
   9    4   11    18    16     1   0.1753584E-01
   9    4   11    78    70     1   0.3205219E-01
   9    4   11   500   375     5   0.1753652E-01
  10    3   16   126   116     3    9.377945    
  10    3   16   400   346     5    800.3607    
  11    6   31     8     7     1   0.4782959E-01
  11    6   31    14    13     1   0.4782959E-01
  11    6   31    15    14     1   0.4782959E-01
  11    9   31     8     7     3   0.1183115E-02
  11    9   31    20    16     3   0.1183115E-02
  11    9   31    18    15     1   0.1183115E-02
  11   12   31    10     9     2   0.2173104E-04
  11   12   31    13    12     3   0.2173104E-04
  11   12   31    34    28     2   0.2173104E-04
  12    3   10     7     6     2   0.1953220E-15
  13    2   10    21    12     1    11.15178    
  14    4   20   254   236     1    292.9543    
  14    4   20    53    42     1    292.9543    
  14    4   20   237   221     1    292.9543    
  15    1    8     1     1     4    1.886238    
  15    1    8    29    28     1    1.884248    
  15    1    8    47    46     1    1.884248    
  15    8    8    39    20     1   0.5930324E-01
  15    9    9    12     9     2   0.1084397E-15
  15   10   10    25    12     1   0.8064710E-01
  16   10   10    14    12     2   0.1733228E-13
  16   10   10    13     8     2   0.6332166E-14
  16   10   10    22    20     2   0.2334110E-14
  16   30   30    19    14     2   0.6636543E-13
  16   40   40    19    14     2   0.2024535E-12
  17    5   33    18    15     1   0.7392493E-02
  18   11   65    16    12     1   0.2003440    
Program completedPress Enter to Continue.

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