(3.1) . , 3.1.1 3.1.2. , ( ), .
, (3.1)
,
(3.9)
R, , s=1,...,p. k- rk . , rk. X* .
f(X)=(x1-2)2+(x2-1)2 h(X)=x1-2x2+1=0; g(X)=-0,25x12-x22+1³0.
.
: ;
F(X,r) .
, k=0,1,2,...
:
;
;
, (k+1)- Xk+1 :
; .
X0=(0,5;0,5). r, r=1,
N | r | f(X*(r)) | h(X*(r)) | g(X*(r)) | ||
0,500 | 0,500 | 2,500 | 0,500 | 0,680 | ||
0,872 | 0,841 | 1,298 | 0,190 | 0,210 | ||
0,846 | 0,885 | 1,345 | 0,076 | 0,038 | ||
0,838 | 0,904 | 1,359 | 0,030 | 0,007 | ||
0,823 | 0,911 | 1,393 |
:
1. f(X)=x12+x22-4x1-2x2+5 h(X)=-x1+2x2=1; g(X) = -0,25x12-x22³1;
2. f(X)=x12+x22-16x1-10x2+89 h(X)=2x12-12x1+9x2-27=0; g(X) = -5x12+16x2+80³0;
3. f(X)=x12+x22-14x1-4x2+53 h(X)=2x12+25x2 125=0; g(X) = -x12+2x1+4x2-3³0;
4. f(X)=x12+9x22-10x1-18x2+34 h(X)=x1+x2 5=0; g(X) = -0,5x12+x2 - 4.5³0;
5. f(X)=x12+4x22-10x1 -16x2+41 h(X)=x12-4x1+x2 -1=0; g(X)=-x12+4x1+3x2 -3³0;
6. f(X)=x12+4x22-8x1-16x2+32 h(X)=-x1+x2 -1=0; g(X)=-2x12+4x1+x2-1³0;
|
|
7. f(X)=x12+9x22-10x1-36x2+61 h(X)=x12-4x1+4x2- 12=0; g(X)=-3x12+7x2 + 27³0;
()
(3.10)
(3.11)
(3.10)
(3.13)