datanbfgs.m

一个用拟牛顿算法求解优化问题的程序

ans =

10   3   16     316/4691/309     6236      8.951852e-009


ans =

11   3   10     1/4/2     14      0


ans =

12   3   10     29/49/30     199      1.593420e-008


ans =

13   4   4     29/52/30     202      7.347638e-007


ans =

14   4   6     52/97/53     362      2.942810e-007


ans =

15   4   11     28/32/29     177      4.974185e-007


ans =

1   2   2     34/54/35     229      8.834671e-008


ans =

2   2   2     10/22/11     77      8.133972e-007


ans =

3   2   2     158/335/159     1130      3.655983e-007


ans =

4   2   3     14/181/15     256      2.513546e-007


ans =

5   2   3     15/24/16     104      5.157395e-009


ans =

6   2   2     12/37/13     102      1.419922e-008


ans =

7   3   3     27/67/28     207      2.509512e-008


ans =

8   3   15     23/34/24     154      1.103010e-007


ans =

9   3   15     4/7/5     32      1.365635e-008


ans =

10   3   16     316/4691/309     6236      8.951852e-009


ans =

11   3   10     1/4/2     14      0


ans =

12   3   10     29/49/30     199      1.593420e-008


ans =

13   4   4     29/52/30     202      7.347638e-007


ans =

14   4   6     52/97/53     362      2.942810e-007


ans =

15   4   11     28/32/29     177      4.974185e-007


ans =

16   4   20     27/4974/26     5104      5.326711e-008


ans =

17   5   33     645/4358/642     7568      NaN


ans =

18   6   13     35/74/36     254      2.165737e-007


ans =

19   11   65     53/80/54     350      3.903359e-007


ans =

20   20   31     55/91/56     371      4.618994e-007


ans =

21   8   8     86/152/87     587      3.043305e-007


ans =

21   50   50     246/636/247     1871      3.856415e-007


ans =

21   100   100     388/1141/389     3086      9.474753e-007


ans =

22   4   4     29/52/30     202      7.347638e-007


ans =

23   2   2     173/294/174     1164      8.026295e-007


ans =

24   4   8     383/561/384     2481      9.597928e-007


ans =

24   50   100     312/914/313     2479      8.877173e-007


ans =

25   2   4     6/14/7     49      6.017663e-013


ans =

25   50   52     10/79/11     134      3.473698e-007


ans =

26   3   3     12/27/13     92      9.048913e-007


ans =

26   50   50     44/48/45     273      9.560725e-007


ans =

26   100   100     48/51/49     296      9.001582e-007


ans =

28   3   3     6/14/7     49      9.060008e-007


ans =

28   10   10     18/39/19     134      4.696145e-007


ans =

29   3   3     7/11/8     51      9.469297e-008


ans =

29   50   50     12/15/13     80      3.652384e-007


ans =

29   100   100     12/15/13     80      5.158128e-007


ans =

29   200   200     12/15/13     80      7.283278e-007


ans =

29   500   500     13/16/14     86      1.504407e-007


ans =

30   3   3     13/45/14     115      3.151991e-007


ans =

30   50   50     63/340/64     660      1.036509e-007


ans =

30   100   100     112/637/113     1202      7.829724e-007


ans =

30   200   200     216/1223/217     2308      7.646276e-007


ans =

31   3   3     18/4994/6     5024      6.606750e-008


ans =

31   50   50     7/4998/2     5008      NaN


ans =

31   100   100     8/4998/2     5008      NaN


ans =

31   200   200     7/4998/2     5008      NaN


ans =

32   2   3     1/3/2     13      5.495324e-016


ans =

32   50   100     1/3/2     13      8.568702e-015


ans =

32   500   1000     1/3/2     13      5.528889e-014


ans =

32   1000   1001     1/3/2     13      2.605398e-012


ans =

33   2   3     2/10/3     25      9.532931e-014


ans =

33   10   11     14/4988/12     5048      1.150500e-011


ans =

34   4   5     2/11/3     26      1.229711e-012


ans =

1   2   2     34/54/35     229      8.834671e-008


ans =

2   2   2     10/22/11     77      8.133972e-007


ans =

3   2   2     158/335/159     1130      3.655983e-007


ans =

4   2   3     14/181/15     256      2.513546e-007


ans =

5   2   3     15/24/16     104      5.157395e-009


ans =

6   2   2     12/37/13     102      1.419922e-008


ans =

7   3   3     27/67/28     207      2.509512e-008


ans =

8   3   15     23/34/24     154      1.103010e-007


ans =

9   3   15     4/7/5     32      1.365635e-008


ans =

10   3   16     316/4691/309     6236      8.951852e-009


ans =

11   3   10     1/4/2     14      0


ans =

12   3   10     29/49/30     199      1.593420e-008


ans =

13   4   4     29/52/30     202      7.347638e-007


ans =

14   4   6     52/97/53     362      2.942810e-007


ans =

15   4   11     28/32/29     177      4.974185e-007


ans =

16   4   20     27/4974/26     5104      5.326711e-008


B =

  Columns 1 through 4 

    1.0000    2.0000    2.0000   34.0000

  Columns 5 through 8 

   54.0000   35.0000  229.0000    0.0000


B =

  Columns 1 through 4 

    2.0000    2.0000    2.0000   10.0000

  Columns 5 through 8 

   22.0000   11.0000   77.0000    0.0000


B =

  1.0e+003 *

  Columns 1 through 4 

    0.0030    0.0020    0.0020    0.1580

  Columns 5 through 8 

    0.3350    0.1590    1.1300    0.0000


B =

  Columns 1 through 4 

    4.0000    2.0000    3.0000   14.0000

  Columns 5 through 8 

  181.0000   15.0000  256.0000    0.0000


B =

  Columns 1 through 4 

    5.0000    2.0000    3.0000   15.0000

  Columns 5 through 8 

   24.0000   16.0000  104.0000    0.0000


B =

  Columns 1 through 4 

    6.0000    2.0000    2.0000   12.0000

  Columns 5 through 8 

   37.0000   13.0000  102.0000    0.0000


B =

  Columns 1 through 4 

    7.0000    3.0000    3.0000   27.0000

  Columns 5 through 8 

   67.0000   28.0000  207.0000    0.0000


B =

  Columns 1 through 4 

    8.0000    3.0000   15.0000   23.0000

  Columns 5 through 8 

   34.0000   24.0000  154.0000    0.0000


B =

  Columns 1 through 4 

    9.0000    3.0000   15.0000    4.0000

  Columns 5 through 8 

    7.0000    5.0000   32.0000    0.0000


B =

  1.0e+003 *

  Columns 1 through 4 

    0.0100    0.0030    0.0160    0.3160

  Columns 5 through 8 

    4.6910    0.3090    6.2360    0.0000


B =

    11     3    10     1     4     2    14     0


B =

  Columns 1 through 4 

   12.0000    3.0000   10.0000   29.0000

  Columns 5 through 8 

   49.0000   30.0000  199.0000    0.0000


B =

  Columns 1 through 4 

   13.0000    4.0000    4.0000   29.0000

  Columns 5 through 8 

   52.0000   30.0000  202.0000    0.0000


B =

  Columns 1 through 4 

   14.0000    4.0000    6.0000   52.0000

  Columns 5 through 8 

   97.0000   53.0000  362.0000    0.0000


B =

  Columns 1 through 4 

   15.0000    4.0000   11.0000   28.0000

  Columns 5 through 8 

   32.0000   29.0000  177.0000    0.0000


B =

  1.0e+003 *

  Columns 1 through 4 

    0.0160    0.0040    0.0200    0.0270

  Columns 5 through 8 

    4.9740    0.0260    5.1040    0.0000


B =

  1.0e+003 *

  Columns 1 through 4 

    0.0170    0.0050    0.0330    1.0000

  Columns 5 through 8 

    1.4890    1.0010    6.4940    0.0000


B =

  Columns 1 through 4 

   18.0000    6.0000   13.0000   35.0000

  Columns 5 through 8 

   74.0000   36.0000  254.0000    0.0000


B =

  Columns 1 through 4 

   19.0000   11.0000   65.0000   53.0000

  Columns 5 through 8 

   80.0000   54.0000  350.0000    0.0000


B =

  Columns 1 through 4 

   20.0000   20.0000   31.0000   55.0000

  Columns 5 through 8 

   91.0000   56.0000  371.0000    0.0000


B =

  Columns 1 through 4 

   21.0000    8.0000    8.0000   86.0000

  Columns 5 through 8 

  152.0000   87.0000  587.0000    0.0000


ans =

1   2   2     34/54/35     229    8.834671e-008


ans =

2   2   2     10/22/11     77    8.133972e-007


ans =

3   2   2     158/335/159     1130    3.655983e-007


ans =

4   2   3     14/181/15     256    2.513546e-007


ans =

5   2   3     15/24/16     104    5.157395e-009


ans =

6   2   2     12/37/13     102    1.419922e-008


ans =

7   3   3     27/67/28     207    2.509512e-008


ans =

8   3   15     23/34/24     154    1.103010e-007


ans =

9   3   15     4/7/5     32    1.365635e-008


ans =

10   3   16     316/4691/309     6236    8.951852e-009


ans =

11   3   10     1/4/2     14    0


ans =

12   3   10     29/49/30     199    1.593420e-008


ans =

13   4   4     29/52/30     202    7.347638e-007


ans =

14   4   6     52/97/53     362    2.942810e-007


ans =

15   4   11     28/32/29     177    4.974185e-007


ans =

16   4   20     27/4974/26     5104    5.326711e-008


ans =

17   5   33     645/4358/642     7568    NaN


ans =

18   6   13     35/74/36     254    2.165737e-007


ans =

19   11   65     53/80/54     350    3.903359e-007


ans =

20   20   31     55/91/56     371    4.618994e-007


ans =

21   8   8     86/152/87     587    3.043305e-007


ans =

21   50   50     246/636/247     1871    3.856415e-007


ans =

21   100   100     388/1141/389     3086    9.474753e-007


ans =

22   4   4     29/52/30     202    7.347638e-007


ans =

23   2   2     173/294/174     1164    8.026295e-007


ans =

24   4   8     383/561/384     2481    9.597928e-007


ans =

24   50   100     312/914/313     2479    8.877173e-007


ans =

25   2   4     6/14/7     49    6.017663e-013


ans =

25   50   52     10/79/11     134    3.473698e-007


ans =

26   3   3     12/27/13     92    9.048913e-007


ans =

26   50   50     44/48/45     273    9.560725e-007


ans =

26   100   100     48/51/49     296    9.001582e-007


ans =

28   3   3     6/14/7     49    9.060008e-007


ans =

28   10   10     18/39/19     134    4.696145e-007


ans =

29   3   3     7/11/8     51    9.469297e-008


ans =

29   50   50     12/15/13     80    3.652384e-007


ans =

29   100   100     12/15/13     80    5.158128e-007


ans =

29   200   200     12/15/13     80    7.283278e-007


ans =

1   2   2     34/54/35     229    8.834671e-008


ans =

2   2   2     10/22/11     77    8.133972e-007


ans =

2   2   2     10/22/11     77    8.133972e-007


ans =

4   2   3     14/181/15     256    2.513546e-007


ans =

5   2   3     15/24/16     104    5.157395e-009


ans =

6   2   2     12/37/13     102    1.419922e-008


ans =

7   3   3     27/67/28     207    2.509512e-008


ans =

8   3   15     23/34/24     154    1.103010e-007


ans =

9   3   15     4/7/5     32    1.365635e-008


ans =

9   3   15     4/7/5     32    1.365635e-008


ans =

11   3   10     1/4/2     14    0


ans =

12   3   10     29/49/30     199    1.593420e-008


ans =

13   4   4     29/52/30     202    7.347638e-007


ans =

14   4   6     52/97/53     362    2.942810e-007


ans =

15   4   11     28/32/29     177    4.974185e-007


ans =

16   4   20     27/4974/26     5104    5.326711e-008


ans =

17   5   33     645/4358/642     7568    NaN


ans =

18   6   13     35/74/36     254    2.165737e-007


ans =

19   11   65     53/80/54     350    3.903359e-007


ans =

20   20   31     55/91/56     371    4.618994e-007


ans =

21   8   8     86/152/87     587    3.043305e-007


ans =

21   50   50     246/636/247     1871    3.856415e-007


ans =

1   2   2     34/54/35     229    8.834671e-008


ans =

2   2   2     10/22/11     77    8.133972e-007


ans =

2   2   2     10/22/11     77    8.133972e-007


ans =

4   2   3     14/181/15     256    2.513546e-007


ans =

5   2   3     15/24/16     104    5.157395e-009


ans =

6   2   2     12/37/13     102    1.419922e-008


ans =

7   3   3     27/67/28     207    2.509512e-008


ans =

8   3   15     23/34/24     154    1.103010e-007


ans =

9   3   15     4/7/5     32    1.365635e-008


ans =

9   3   15     4/7/5     32    1.365635e-008


ans =

11   3   10     1/4/2     14    0


ans =

12   3   10     29/49/30     199    1.593420e-008


ans =

13   4   4     29/52/30     202    7.347638e-007


ans =

14   4   6     52/97/53     362    2.942810e-007


ans =

15   4   11     28/32/29     177    4.974185e-007


ans =

16   4   20     27/4974/26     5104    5.326711e-008


ans =

16   4   20     27/4974/26     5104    5.326711e-008


ans =

18   6   13     35/74/36     254    2.165737e-007


ans =

19   11   65     53/80/54     350    3.903359e-007


ans =

20   20   31     55/91/56     371    4.618994e-007


ans =

21   8   8     86/152/87     587    3.043305e-007


ans =

1   2   2     34/54/35     229    8.834671e-008


ans =

2   2   2     10/22/11     77    8.133972e-007


ans =

2   2   2     10/22/11     77    8.133972e-007


ans =

4   2   3     14/181/15     256    2.513546e-007


ans =

5   2   3     15/24/16     104    5.157395e-009


ans =

6   2   2     12/37/13     102    1.419922e-008


ans =

7   3   3     27/67/28     207    2.509512e-008


ans =

8   3   15     23/34/24     154    1.103010e-007


ans =

9   3   15     4/7/5     32    1.365635e-008


ans =

9   3   15     4/7/5     32    1.365635e-008


ans =

11   3   10     1/4/2     14    0


ans =

12   3   10     29/49/30     199    1.593420e-008


ans =

13   4   4     29/52/30     202    7.347638e-007


ans =