- , . . , , . ( -), , , . . - , , . - , . , , , , . , , , , , , , [21].
.
1. . .
2. .
3. .
4. .
5. . - -. 1- ( ) . 1- ( ) .
- :
y | ym+1 | ym+2 | ¼ | ym+n | |||
y | x x | - x1 | - x2 | ¼ | - xn | bi | |
y1 | xn+1 | h11 | h12 | ¼ | h1n | l1 | |
y2 | xn+2 | h21 | h22 | ¼ | h2n | l2 | |
¼ | ¼ | ¼ | ¼ | ¼ | ¼ | ¼ | |
ym | xn+m | hm1 | hm2 | ¼ | hmn | lm | |
cj | - c1 | - c2 | ¼ | - cn |
, bi .
.
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|
6. . . , .
, ( ), .
7. . . , ( ).
, , .
.
8. . 1. . . : , , ( ).
9. -. : . - -.
, -. ( , ).
, , , -.
, . -: . . , . -.
, . -. .
. 4.3 -.
:
:
, :
1 y4 | 2 y5 | 3 y1 | 4 y2 | 5 y3 |
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-
y | y4 | y5 | ||
y | x x | - x1 | - x2 | bi |
y1 | x3 | 2 | 4 | |
y2 | x4 | 1 | ||
y3 | x5 | 1 | 8 | |
cj | - 3 | - 4 | 0 |
, bi, , : = (0, 0, 4, 3, 8), = 0.
, cj, , : = (0, 0, 0, -3, -4), = 0.
, ( ), .
-4 , 1, x4, , ( ).
.
, ( ).
1 .
. 1. , . :
:
2 | |
1 |
2×1 - 1×1 = 1;
:
1 | |
1 |
1×1 - 2×1 = -1;
:
1 | |
¼ | ¼ |
- 3 | - 4 |
- 4×1 - (-3)×1 = -1;
:
¼ | 4 | |
1 | ¼ |
4×1 - 3×1 = 1;
:
1 | ¼ | |
¼ | 8 |
8×1 - 3×2 = 2;
:
1 | ¼ | |
¼ | ¼ | ¼ |
- 3 | ¼ | 0 |
0×1 - 3×(-3) = 9;
, :
y | y4 | y5 | ||
y | x x | - x1 | - x2 | bi |
y1 | x3 | -1 | 2 1 | 4 1 |
y2 | x4 | 1 | ||
y3 | x5 | -2 | 1 -1 | 8 2 |
cj | - 3 | - 4 -1 | 0 9 |
-. 1, 4, , 4, 2, . . , ( ) 1:
y | y2 | y5 | ||
y | x x | - x4 | - x2 | bi |
y1 | x3 | -1 | 1 | |
y3 | x1 | 1 | 3 | |
y3 | x5 | -2 | -1 | 2 |
cj | 3 | -1 | 9 |
- : = (3, 0, 1, 0, 2), = 9, : = (0, 3, 0, 0, -1), = 9. , -1. -.
-1 , 1, x3, , , ( ).
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.
, ( ).
1 .
. 1. , . , :
y | y2 | y5 | ||
y | x x | - x4 | - x2 | bi |
y1 | x3 | -1 -1 | 1 | 1 |
y3 | x1 | 1 2 | -1 | 3 2 |
y3 | x5 | -2 -3 | -1 1 | 2 3 |
cj | 3 2 | -1 1 | 9 10 |
-. 2, 5, , 3, 2, . . , 1. , :
y | y2 | y1 | ||
y | x x | - x4 | - x3 | bi |
y5 | x2 | -1 | 1 | 1 |
y3 | x1 | 2 | -1 | 2 |
y3 | x5 | -3 | 1 | 3 |
cj | 2 | 1 | 10 |
: = (2, 1, 0, 0, 3), = 10, : = (1, 2, 0, 0, 0), = 10.
, .