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(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)





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