m , n . R .
:
- , ./.;
- , /.;
- ;
- , ./.
:
- , .;
- , ;
- , , .
(.1).
1 -
( )
| , /. ( ).
| |||||||||||
| i | m | r | R | |||||||||
, ./.
( ):
j
n
|
|
| ||||||||||
| ||||||||||||
| , ./ | 
| |||||||||||
I. :
) :
p(i,j) i-ro 3 - , i =1,2,...,m; j = 1,2,...,n;
b(j,r) r- j-ro ,
r = 1,2,...,R;
d(i) i- ;
() r- ;
) :
q(i,j) j-ro i- ;
f(i,r) r- , i- ;
(i) , i- .
2. , .1.
3. , , D :
P = [p(j,i)],B = [b(j,r)], D = [d(i,i)] , = [c()].
Q P D:
, Q = [q(i,j)].
F Q :
, F = [f(i,r)].
, , F :
, K = [k(i)].
4. .2.
2 -
| , . | , | , . | |||||||||||
| i | m | r | R | ||||||||||
| i m | Q = [q(i,j)] | F = [f(i,r)] | k(i) | ||||||||||
| 
| 
| |||||||||||
2.2 2
, , :
|
|
|
, ./3;
, ./3;
G , ./3;
, ./3;
Z , I 3 , ./.3;
, ./3.
, :
X1 - , ;
2 , 3;
, %;
4 , %;
5 , 3/;
6 , 3;
7 , %;
8 , %;
9 , %;
XI0 , %;
XII , . .;
XI2 , %;
13 , .
. 39 5 . , , " ", . , . ", : . - . :
I ;
II ;
III ;
IV .
, . .3 .
3 - ,
| - | ||||
| I | II | III | IV | |
| 2, 5,6, 11 | 4, X6, 9, X10 11 | 2, X4, X15,10 | X1, 2, 10, X13 | |
| 2, 6, 7, X8, 11, 13 | 6, X8, 9, 11 | 2, 6,8, X9,11 | X1, X4, 6, 11, X13 | |
| G | 5, X6, 10, 13 | 1, 8, X9, 10 | 2, 6, 8, X9, 11 | , X6, 7, 10, 12 |
| X1, 2, 4, 5, 6, 11 | , X8, 9, 10,11, 13 | 2, 5, 6, 8, 9, X11 | X1, 9, 10, X13 | |
| Z | X1, 3, 4, 6, 8, 9 | 4, X9, 10, 11 | X1, 3, X6, X7, 11, XI2 | X1, 3, 4, X6, 7, 10 |
| 4, X6, 12, X13 | 2, 3, 4, X9, 10 | , 4, 6, 7, X8, 13 | 2, X6, 9, 12, X13 |
I. ( ) (..3) .
2. , , .1.
|
|
|
3. . .
4. , ( 0,5).
5. , , . .
3
. : , , , .
. i- j- , , a(i,j) (i = 1,2,3,4; j= 1,2,5,4).
, y(i) i- .
:
- ;
- ;
- .
(.4).
4 -
| i: | x(i,j) | x(i,j) | y(i) | x(i) | |||
| x(i,j) | y(i) | x(i) | |||||
| v(j) | v(j) | ||||||
| x(j) | x(j) | ||||||
1. :
) (), ;
) (Y),
2. (S).
3. (X) X S Y.
4.
.
5. () :
.
6. ( ) :
- ;
- ;
- ;
- ;
- , ().
, 
. . (.4).
2.4 4
() ( ) L (). , . m .
:
b(i) i-ro , .;
l(1) i-ro , ;
n ;
a(i,j) i-ro , ( ), j - , .
, (Q, .) , .
|
|
|
(.5).
5 -
i - ,
| a(i,j); .,  j- 
| , . | |||||
| j | ... | n | |||||
1.
2.
i. 
m
| a(1,1) a(2,1) a(i,1) a(m,1) | a(1,2) a(2,2) a(i,2) a(m,2) | a(1,j) a(2,j) a(i,j) a(m,j) | a(1,n) a(2,n) a(i,n) a(m,n) | b(1)
b(2)
b(m)
| ||
| , | c(1) | c(2) | c(j) | c(n) |
1. , .5, :
.
2. , - , (j), ., j- .
3. :
.
4. ( ) , , (Q, .) :
b(1), b(2), , b(i), , b(m),
.
5
-
n , m . , : , , , , .
:
a(i,j) i-ro j- , i = 1,2,...,n; j = 1,2,...,m;
b(i) i-ro , i = 1,2,...,m;
c(j) j- , j = 1,2,...,m.
(.6).
6 -
| i-ro j- 
| ||||||
| j | ... | n | |||||
| i m | 
| 
| |||||
| () | 
| ||||||
:
1) , , , .;
2) ;
3) ,
(1)/(2)= 1/2, (2)/(3)=2/3, (3)/(4)=3/4,...,
(1), (2), (3), (4),... I, 2, 3, 4-,... .
1. (. 6).
2. .
3. .
4. .
5. .
|
|
|
2.6 6
n , b(j),3 (j = 1,2,...,n). . :
t(i) , (i = 1,2,...,m);
a(i,3) , 3/ (i = 1,2, , m; j = 1,2,,n), : a(i,j)/a(s,j) = l(i) = const,
s , ;
c(i,j) , , ./3 (i = 1,2,...,m; j = 1,2,...,n).
:
1) , ;
2) , ;
3) ;
4) ? , ?
(.7).
7 -
| , 3/
| , ./3 | , | |||||||||||
| j | ... | n | j | ... | n | |||||||||
| i m | 
a(2,j)
a(i.j)
a(m,j)
| c(1,j)
c(2,j)
c(m,j)
| t(1)
t(2)
t(m)
|
1(2)
l(i)
| ||||||||||
| , 3 | 
| |||||||||||||
1. (.7). (, ).
2. . . .
3. (. .2) . .
.
7
