Реферат: Минимизация функций нескольких переменных. Метод спуска
for(int i = nh; i <=nk+nh; i++)
{
Series2->AddXY(i,Tochki[i][ind],"",clBlue);
ListP->Items->Add(Tochki[i][ind]);
}
Bild->Visible=false;
CB4->Enabled=false;
CB4->Items->Clear();
CB4->ItemIndex=-1;
}
//---------------------------------------------------------------------------
Приложение B
Исследование функции U=1*x1^3+2*x2^2-3*x1-4*x2 (изменением шага).
h=0,1; x1 =-0,5; x2 =-1 ; x1нач =-2, x1кон =2, x2нач =-2, x2кон =2
| № | x1 | x2 | R |
| 0 | -0,5 | -1 | 7,375 |
| 1 | -0,2750 | -0,1999 | 1,6842 |
| 2 | 0,0023 | 0,2800 | -0,9701 |
| 3 | 0,3023 | 0,5680 | -2,5059 |
| 4 | 0,5749 | 0,7408 | -3,4002 |
| 5 | 0,7757 | 0,8445 | -3,8120 |
| 6 | 0,8952 | 0,9067 | -3,9508 |
| 7 | 0,9548 | 0,9440 | -3,9877 |
| 8 | 0,9813 | 0,9664 | -3,9967 |
| 9 | 0,9924 | 0,9798 | -3,9990 |
| 10 | 0,9969 | 0,9879 | -3,9997 |
| 11 | 0,9988 | 0,9927 | -3,9999 |
| 12 | 0,9995 | 0,9956 | -4,0000 |
| 13 | 0,9998 | 0,9974 | -4,0000 |
| 14 | 1,0000 | 0,9984 | -4,0000 |
h=0,2; x1 =-0,5; x2 =-1 ; x1нач =-2, x1кон =2, x2нач =-2, x2кон =2
| № | x1 | x2 | R |
| 0 | -0,5 | -1 | 7,375 |
| 1 | 0,0500 | 0,6000 | -1,5301 |
| 2 | 0,5485 | 0,9200 | -3,4676 |
| 3 | 0,9680 | 0,9840 | -3,9964 |
| 4 | 1,0058 | 0,9968 | -3,9999 |
| 5 | 0,9988 | 0,9994 | -4,0000 |
h=0,3; x1 =-0,5; x2 =-1 ; x1нач =-2, x1кон =2, x2нач =-2, x2кон =2
| № | x1 | x2 | R |
| 0 | -0,5 | -1 | 7,375 |
| 1 | 0,1750 | 1,4 | -2,1996 |
| 2 | 1,0473 | 0,9200 | -3,9804 |
| 3 | 0,9600 | 1,016 | -3,9948 |
| 4 | 1,0305 | 0,9968 | -3,9972 |
| 5 | 0,9747 | 0,0006 | -3,9981 |
| 6 | 1,0196 | 0,9999 | -3,9988 |
| 7 | 0,9839 | 1,0000 | -3,9992 |
| 8 | 1,0126 | 1,0000 | -3,9995 |
| 9 | 0,9898 | 1,0000 | -3,9997 |
| 10 | 1,0081 | 1,0000 | -39998 |
| 11 | 0,9935 | 1,0000 | -3,9999 |
| 12 | 1,0052 | 1,0000 | -3,9999 |
| 13 | 0,9958 | 1.0000 | -3,9999 |
| 14 | 1,0033 | 1,0000 | -4,0000 |
| 15 | 0,9973 | 1,0000 | -4,0000 |
| 16 | 1,0021 | 1,0000 | -4,0000 |
| 17 | 0,9983 | 1,0000 | -4,0000 |
| 18 | 1,0013 | 1,0000 | -4,0000 |
h=1; x1 =-0,5; x2 =-1 ; x1нач =-2, x1кон =2, x2нач =-2, x2кон =2
| № | x1 | x2 | R |
| 0 | -0,5 | -1 | 7,375 |
| 1 | 0,6250 | 3 | 4,3692 |
| 2 | 1,5391 | -1,0000 | 5,0283 |
| 3 | 0,5125 | 1 | -3,4029 |
| 4 | 1,0655 | 1 | -3,9869 |
| 5 | 0,9640 | 1 | -3,9961 |
| 6 | 1,0170 | 1 | -3,9991 |
| 7 | 0,9913 | 1,0000 | -3,9998 |
| 8 | 1,0043 | 1 | -3,9999 |
| 9 | 0,9978 | 1 | -4,0000 |
| 10 | 1,0011 | 1 | -4,0000 |