5. Численное решение
5.1 Тестовые функции
1)
функция
Химмельблау №2
2)
функция Розенброка:
5.2 Сводная таблица
1)
функция
Химмельблау №2
,
далее #1
2)
функция Розенброка:
далее
#2
|
Тестовая ф-ция |
Начальная точка |
Погрешность |
a |
b |
Точка минимума |
Значение ф-ции в точке минимума |
Кол-во Итераций |
|
#1 |
4.00 -2.00 |
0.0004 |
3.00 |
-0.50 |
3.602903 -1.852415 |
0.017690 |
5 |
|
|
|
|
|
-0.75 |
3.584503 -1.848296 |
0.000001 |
13 |
|
|
|
|
4.60 |
-0.50 |
3.602903 -1.8524415 |
0.017690 |
5 |
|
|
|
|
|
-0.75 |
3.584503 -1.88296 |
0.000001 |
13 |
|
|
|
0.000006 |
3.00 |
-0.50 |
3.602903 -1.852491 |
0.017690 |
7 |
|
|
|
|
|
-0.75 |
3.584435 -1.848129 |
0.000000 |
14 |
|
|
|
|
4.60 |
-0.50 |
3.602903 -1.852491 |
0.017690 |
7 |
|
|
|
|
|
-0.75 |
3.584435 -1.848129 |
0.0000000 |
14 |
|
|
5.00 -1.00 |
0.0004 |
3.00 |
-0.50 |
3.583632 -1.848174 |
0.0000034 |
8 |
|
|
|
|
|
-0.75 |
3.584380 -1.847998 |
0.0000000 |
13 |
|
|
|
|
4.60 |
-0.50 |
3.584299 -1.848280 |
0.0000001 |
11 |
|
|
|
|
|
-0.75 |
3.584380 -1.847998 |
0.0000000 |
13 |
|
|
|
0.000006 |
3.00 |
-0.50 |
3.584427 -1.848127 |
0.0000000 |
16 |
|
|
|
|
|
-0.75 |
3.584429 -1.848124 |
0.0000000 |
18 |
|
|
|
|
4.60 |
-0.50 |
3.584426 -1.848121 |
0.0000000 |
16 |
|
|
|
|
|
-0.75 |
3.584428 -1.848129 |
0.0000000 |
21 |
|
|
2.00 -3.00 |
0.0004 |
3.00 |
-0.50 |
2.999887 2.000141 |
0.0000000 |
11 |
|
|
|
|
|
-0.75 |
3.000098 2.000023 |
0.0000000 |
21 |
|
|
|
|
4.60 |
-0.50 |
2.999887 2.000141 |
0.0000000 |
11 |
|
|
|
|
|
-0.75 |
3.000098 2.0000023 |
0.0000000 |
21 |
|
|
|
0.000006 |
3.00 |
-0.50 |
2.999998 2.000004 |
0.0000000 |
17 |
|
|
|
|
|
-0.75 |
3.0000002 2.000001 |
0.0000000 |
28 |
|
|
|
|
4.60 |
-0.50 |
2.999998 2.000004 |
0.0000000 |
17 |
|
|
|
|
|
-0.75 |
3.0000002 2.000001 |
0.0000000 |
28 |
|
|
-10.00 8.00 |
0.0004 |
3.00 |
-0.50 |
2.999897 1.999970 |
0.0000001 |
9 |
|
|
|
|
|
-0.75 |
3.000000 2.000000 |
0.0000000 |
15 |
|
|
|
|
4.60 |
-0.50 |
-3.692893 3.125999 |
0.0000012 |
9 |
|
|
|
|
|
-0.75 |
-3.779182 -3.283296 |
0.0000002 |
27 |
|
|
|
0.000006 |
3.00 |
-0.50 |
2.9999987 1.9999993 |
0.0000000 |
17 |
|
|
|
|
|
-0.75 |
3.000000 2.0000000 |
0.0000000 |
24 |
|
|
|
|
4.60 |
-0.50 |
-3.692893 3.125999 |
0.0000000 |
9 |
|
|
|
|
|
-0.75 |
-3.779310 -3.283189 |
0.0000000 |
37 |
|
Тестовая ф-ция |
Начальная точка |
Погрешн. |
a |
b |
Точка минимума |
Значение ф-ции в точке минимума |
Кол-во Итераций |
|
#2 |
4.00 -2.00 |
0.4 |
3.00 |
-0.50 |
-2.500000 6.000000 |
18.50000 |
2 |
|
|
|
|
|
-0.75 |
3.156659 10.120634 |
7.089016 |
4 |
|
|
|
|
4.60 |
-0.50 |
3.455402 12.199055 |
12.747695 |
3 |
|
|
|
|
|
-0.75 |
3.183185 10.1997765 |
5190053 |
3 |
|
|
|
0.006 |
3.00 |
-0.50 |
-2.403035 5.773880 |
11.580695 |
7 |
|
|
|
|
|
-0.75 |
3.156659 9.967762 |
4.652245 |
12 |
|
|
|
|
4.60 |
-0.50 |
3.453146 11.930191 |
6.021493 |
5 |
|
|
|
|
|
-0.75 |
3.179706 10.114324 |
4.752557 |
9 |
|
|
5.00 -1.00 |
0.4 |
3.00 |
-0.50 |
2.757464 7.970142 |
16.523281 |
3 |
|
|
|
|
|
-0.75 |
2.263343 4.955956 |
4.377036 |
5 |
|
|
|
|
4.60 |
-0.50 |
2.879100 8.783601 |
27.972658 |
3 |
|
|
|
|
|
-0.75 |
4.583320 21.127031 |
14.285276 |
5 |
|
|
|
0.006 |
3.00 |
-0.50 |
2.772610 7.693051 |
3.145378 |
6 |
|
|
|
|
|
-0.75 |
2.249302 5.058368 |
1.560855 |
11 |
|
|
|
|
4.60 |
-0.50 |
2.968720 8.820594 |
3.88182 |
7 |
|
|
|
|
|
-0.75 |
4.583320 21.004040 |
12.840952 |
8 |
|
|
2.00 -3.00 |
0.4 |
3.00 |
-0.50 |
0.917420 1.297018 |
20.741928 |
4 |
|
|
|
|
|
-0.75 |
0.394081 0.133664 |
0.413946 |
4 |
|
|
|
|
4.60 |
-0.50 |
-1.345673 2.137998 |
16.205683 |
3 |
|
|
|
|
|
-0.75 |
0.487656 0.222205 |
0.286844 |
7 |
|
|
|
0.006 |
3.00 |
-0.50 |
0.936223 0.876583 |
0.004068 |
6 |
|
|
|
|
|
-0.75 |
0.581363 0.335648 |
0.175802 |
12 |
|
|
|
|
4.60 |
-0.50 |
-1.428528 2.038441 |
5.898253 |
7 |
|
|
|
|
|
-0.75 |
0.552549 0.300991 |
0.202078 |
15 |
|
|
-10.00 8.00 |
0. 4 |
3.00 |
-0.50 |
3.000000 9.000000 |
4.0000000 |
3 |
|
|
|
|
|
-0.75 |
-3.000000 8.887695 |
17.261234 |
3 |
|
|
|
|
4.60 |
-0.50 |
-4.400000 19.200001 |
31.720003 |
2 |
|
|
|
|
|
-0.75 |
-4.400000 19.200001 |
31.720003 |
2 |
|
|
|
0.006 |
3.00 |
-0.50 |
3.0000000 9.000000 |
4.0000000 |
3 |
|
|
|
|
|
-0.75 |
2.156194 4.650010 |
1.336855 |
8 |
|
|
|
|
4.60 |
-0.50 |
-4.372049 19.115278 |
28.858936 |
5 |
|
|
|
|
|
-0.75 |
-4.4000000 19.363959 |
29.161591 |
5 |