t_lmder.out

开发的lm算法,很有用的一种优化算法. 对非线性优化有很大用处

     PROBLEM    1      DIMENSIONS    5   10


     INITIAL L2 NORM OF THE RESIDUALS   5.000000    

     FINAL L2 NORM OF THE RESIDUALS     2.236068    

     NUMBER OF FUNCTION EVALUATIONS           3

     NUMBER OF JACOBIAN EVALUATIONS           2

     EXIT PARAMETER                           3

     FINAL APPROXIMATE SOLUTION

      -1.000000      -1.000000      -1.000000      -1.000000      -1.000000    




     PROBLEM    1      DIMENSIONS    5   50


     INITIAL L2 NORM OF THE RESIDUALS   8.062258    

     FINAL L2 NORM OF THE RESIDUALS     6.708204    

     NUMBER OF FUNCTION EVALUATIONS           3

     NUMBER OF JACOBIAN EVALUATIONS           2

     EXIT PARAMETER                           3

     FINAL APPROXIMATE SOLUTION

      -1.000000      -1.000000      -1.000000      -1.000000      -1.000000    




     PROBLEM    2      DIMENSIONS    5   10


     INITIAL L2 NORM OF THE RESIDUALS   291.5219    

     FINAL L2 NORM OF THE RESIDUALS     1.463850    

     NUMBER OF FUNCTION EVALUATIONS           3

     NUMBER OF JACOBIAN EVALUATIONS           2

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

       221.4518       111.2259      -12.92753       56.11295      -125.8860    




     PROBLEM    2      DIMENSIONS    5   50


     INITIAL L2 NORM OF THE RESIDUALS   3101.600    

     FINAL L2 NORM OF THE RESIDUALS     3.482630    

     NUMBER OF FUNCTION EVALUATIONS           3

     NUMBER OF JACOBIAN EVALUATIONS           2

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      -216.2796      -107.6398      0.2665864      -53.31989       128.8137    




     PROBLEM    3      DIMENSIONS    5   10


     INITIAL L2 NORM OF THE RESIDUALS   126.0397    

     FINAL L2 NORM OF THE RESIDUALS     1.909727    

     NUMBER OF FUNCTION EVALUATIONS           3

     NUMBER OF JACOBIAN EVALUATIONS           2

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

       1.000000      -163.6593      -30.66622       104.8734       1.000000    




     PROBLEM    3      DIMENSIONS    5   50


     INITIAL L2 NORM OF THE RESIDUALS   1748.950    

     FINAL L2 NORM OF THE RESIDUALS     3.691729    

     NUMBER OF FUNCTION EVALUATIONS           3

     NUMBER OF JACOBIAN EVALUATIONS           2

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

       1.000000      -330.3175      -219.8689       330.0681       1.000000    




     PROBLEM    4      DIMENSIONS    2    2


     INITIAL L2 NORM OF THE RESIDUALS   4.919350    

     FINAL L2 NORM OF THE RESIDUALS    0.0000000    

     NUMBER OF FUNCTION EVALUATIONS          21

     NUMBER OF JACOBIAN EVALUATIONS          16

     EXIT PARAMETER                           4

     FINAL APPROXIMATE SOLUTION

       1.000000       1.000000    




     PROBLEM    4      DIMENSIONS    2    2


     INITIAL L2 NORM OF THE RESIDUALS   1340.063    

     FINAL L2 NORM OF THE RESIDUALS    0.0000000    

     NUMBER OF FUNCTION EVALUATIONS           8

     NUMBER OF JACOBIAN EVALUATIONS           5

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

       1.000000       1.000000    




     PROBLEM    4      DIMENSIONS    2    2


     INITIAL L2 NORM OF THE RESIDUALS   143000.1    

     FINAL L2 NORM OF THE RESIDUALS    0.0000000    

     NUMBER OF FUNCTION EVALUATIONS           6

     NUMBER OF JACOBIAN EVALUATIONS           4

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

       1.000000       1.000000    




     PROBLEM    5      DIMENSIONS    3    3


     INITIAL L2 NORM OF THE RESIDUALS   50.00000    

     FINAL L2 NORM OF THE RESIDUALS    0.9936522E-16

     NUMBER OF FUNCTION EVALUATIONS          11

     NUMBER OF JACOBIAN EVALUATIONS           8

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

       1.000000     -0.6243301E-17  0.0000000    




     PROBLEM    5      DIMENSIONS    3    3


     INITIAL L2 NORM OF THE RESIDUALS   102.9563    

     FINAL L2 NORM OF THE RESIDUALS    0.1044675E-18

     NUMBER OF FUNCTION EVALUATIONS          20

     NUMBER OF JACOBIAN EVALUATIONS          15

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

       1.000000      0.6563885E-20  0.0000000    




     PROBLEM    5      DIMENSIONS    3    3


     INITIAL L2 NORM OF THE RESIDUALS   991.2618    

     FINAL L2 NORM OF THE RESIDUALS    0.3452656E-28

     NUMBER OF FUNCTION EVALUATIONS          19

     NUMBER OF JACOBIAN EVALUATIONS          16

     EXIT PARAMETER                           2

     FINAL APPROXIMATE SOLUTION

       1.000000     -0.2169367E-29  0.0000000    




     PROBLEM    6      DIMENSIONS    4    4


     INITIAL L2 NORM OF THE RESIDUALS   14.66288    

     FINAL L2 NORM OF THE RESIDUALS    0.5635122E-33

     NUMBER OF FUNCTION EVALUATIONS          68

     NUMBER OF JACOBIAN EVALUATIONS          62

     EXIT PARAMETER                           4

     FINAL APPROXIMATE SOLUTION

      0.1621705E-16 -0.1621705E-17  0.2899963E-17  0.2899963E-17




     PROBLEM    6      DIMENSIONS    4    4


     INITIAL L2 NORM OF THE RESIDUALS   1270.984    

     FINAL L2 NORM OF THE RESIDUALS    0.2234380E-33

     NUMBER OF FUNCTION EVALUATIONS          63

     NUMBER OF JACOBIAN EVALUATIONS          62

     EXIT PARAMETER                           4

     FINAL APPROXIMATE SOLUTION

      0.5162867E-17 -0.5162867E-18  0.8260588E-18  0.8260588E-18




     PROBLEM    6      DIMENSIONS    4    4


     INITIAL L2 NORM OF THE RESIDUALS   126887.9    

     FINAL L2 NORM OF THE RESIDUALS    0.8558711E-33

     NUMBER OF FUNCTION EVALUATIONS          65

     NUMBER OF JACOBIAN EVALUATIONS          64

     EXIT PARAMETER                           4

     FINAL APPROXIMATE SOLUTION

      0.1290717E-16 -0.1290717E-17  0.2065147E-17  0.2065147E-17




     PROBLEM    7      DIMENSIONS    2    2


     INITIAL L2 NORM OF THE RESIDUALS   20.01250    

     FINAL L2 NORM OF THE RESIDUALS     6.998875    

     NUMBER OF FUNCTION EVALUATIONS          14

     NUMBER OF JACOBIAN EVALUATIONS           8

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

       11.41248     -0.8968279    




     PROBLEM    7      DIMENSIONS    2    2


     INITIAL L2 NORM OF THE RESIDUALS   12432.83    

     FINAL L2 NORM OF THE RESIDUALS     6.998875    

     NUMBER OF FUNCTION EVALUATIONS          19

     NUMBER OF JACOBIAN EVALUATIONS          12

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

       11.41300     -0.8967960    




     PROBLEM    7      DIMENSIONS    2    2


     INITIAL L2 NORM OF THE RESIDUALS  0.1142645E+08

     FINAL L2 NORM OF THE RESIDUALS     6.998875    

     NUMBER OF FUNCTION EVALUATIONS          24

     NUMBER OF JACOBIAN EVALUATIONS          17

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

       11.41278     -0.8968051    




     PROBLEM    8      DIMENSIONS    3   15


     INITIAL L2 NORM OF THE RESIDUALS   6.456136    

     FINAL L2 NORM OF THE RESIDUALS    0.9063596E-01

     NUMBER OF FUNCTION EVALUATIONS           6

     NUMBER OF JACOBIAN EVALUATIONS           5

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.8241058E-01   1.133037       2.343695    




     PROBLEM    8      DIMENSIONS    3   15


     INITIAL L2 NORM OF THE RESIDUALS   36.14185    

     FINAL L2 NORM OF THE RESIDUALS     4.174769    

     NUMBER OF FUNCTION EVALUATIONS          37

     NUMBER OF JACOBIAN EVALUATIONS          36

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.8406667     -0.1588480E+09 -0.1643787E+09




     PROBLEM    8      DIMENSIONS    3   15


     INITIAL L2 NORM OF THE RESIDUALS   384.1147    

     FINAL L2 NORM OF THE RESIDUALS     4.174769    

     NUMBER OF FUNCTION EVALUATIONS          14

     NUMBER OF JACOBIAN EVALUATIONS          13

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.8406667     -0.1589462E+09 -0.1644649E+09




     PROBLEM    9      DIMENSIONS    4   11


     INITIAL L2 NORM OF THE RESIDUALS  0.7289151E-01

     FINAL L2 NORM OF THE RESIDUALS    0.1753584E-01

     NUMBER OF FUNCTION EVALUATIONS          18

     NUMBER OF JACOBIAN EVALUATIONS          16

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

      0.1928078      0.1912627      0.1230528      0.1360532    




     PROBLEM    9      DIMENSIONS    4   11


     INITIAL L2 NORM OF THE RESIDUALS   2.979370    

     FINAL L2 NORM OF THE RESIDUALS    0.3205219E-01

     NUMBER OF FUNCTION EVALUATIONS          78

     NUMBER OF JACOBIAN EVALUATIONS          70

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

       728675.5      -14.07588     -0.3297780E+08 -0.2057159E+08




     PROBLEM    9      DIMENSIONS    4   11


     INITIAL L2 NORM OF THE RESIDUALS   29.95906    

     FINAL L2 NORM OF THE RESIDUALS    0.1753652E-01

     NUMBER OF FUNCTION EVALUATIONS         500

     NUMBER OF JACOBIAN EVALUATIONS         375

     EXIT PARAMETER                           5

     FINAL APPROXIMATE SOLUTION

      0.1926455      0.1948362      0.1237000      0.1377205    




     PROBLEM   10      DIMENSIONS    3   16


     INITIAL L2 NORM OF THE RESIDUALS   41153.47    

     FINAL L2 NORM OF THE RESIDUALS     9.377945    

     NUMBER OF FUNCTION EVALUATIONS         126

     NUMBER OF JACOBIAN EVALUATIONS         116

     EXIT PARAMETER                           3

     FINAL APPROXIMATE SOLUTION

      0.5609636E-02   6181.346       345.2236    




     PROBLEM   10      DIMENSIONS    3   16


     INITIAL L2 NORM OF THE RESIDUALS   4168217.    

     FINAL L2 NORM OF THE RESIDUALS     800.3607    

     NUMBER OF FUNCTION EVALUATIONS         400

     NUMBER OF JACOBIAN EVALUATIONS         346

     EXIT PARAMETER                           5

     FINAL APPROXIMATE SOLUTION

      0.9188471E-11   34555.85       913.6419    




     PROBLEM   11      DIMENSIONS    6   31


     INITIAL L2 NORM OF THE RESIDUALS   5.477226    

     FINAL L2 NORM OF THE RESIDUALS    0.4782959E-01

     NUMBER OF FUNCTION EVALUATIONS           8

     NUMBER OF JACOBIAN EVALUATIONS           7

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

     -0.1572496E-01   1.012435     -0.2329917       1.260431      -1.513730    
      0.9929973    




     PROBLEM   11      DIMENSIONS    6   31


     INITIAL L2 NORM OF THE RESIDUALS   6433.126    

     FINAL L2 NORM OF THE RESIDUALS    0.4782959E-01

     NUMBER OF FUNCTION EVALUATIONS          14

     NUMBER OF JACOBIAN EVALUATIONS          13

     EXIT PARAMETER                           1

     FINAL APPROXIMATE SOLUTION

     -0.1572519E-01   1.012435     -0.2329915       1.260429      -1.513728    
      0.9929957    




     PROBLEM   11      DIMENSIONS    6   31


     INITIAL L2 NORM OF THE RESIDUALS   674256.0    

     FINAL L2 NORM OF THE RESIDUALS    0.4782959E-01

     NUMBER OF FUNCTION EVALUATIONS          15

     NUMBER OF JACOBIAN EVALUATIONS          14