... A
11
and
X
2
= A
12
and and
X
n
= A
1n
Then
Y = B
1
If
X
1
= A
21
and
X
2
= A
22
and and
X
n
= A
2n
Then
Y = B
2
If
X
1
= A
m1
and
X
2
= A
m2
and and
X
n
= A
mn
Then
Y = B
m
Cho
X
1
= A
01
and
X
2
= ... sau:
25 8
TR
ˆ
A
`
N TH
´
AI SO
.
N, NGUY
ˆ
E
˜
N TH
ˆ
E
´
D
˜
UNG
Ba
’
ng 4
e\∆e
MMS MPS PLS W
MMS
0.786458
MPS
0.703 125 0.7447 92
PLS
0.703 125 0.78 125 0 0.5 520 83
W
0....
... |a
3
f
(x)| ≤ 2( a
2
f
(x))3 /2 ⇔ |f
(x)| ≤ 2f
(x)
3 /2
.
f : R
++
−→ R f(x) = −log x
f”(x) =
1
x
2
, f”
(x) = −
2
x
3
|f”
(x)|
2f”(x)
3 /2
=
2/ x
3
2( 1/x
2
)
3 /2
= 1
f(x) =
m
i=1
log(b
i
− ... intC
2
F intC ⊆ R
m
, b ∈ R
m
A : R
n
−→ R
m
x −→ F (Ax − b)
{x|Ax − b ∈ intC}
F C
3
f
1
f
2
x f
1
+ f
2
f”
1
(x) ≥ 0, f”
2
(x) ≥ 0
|f
1
(x) + f
2...
... W
n
W
1
, W
2
, . . . , W
m
r
1
> 0, r
2
>
0, . . . , r
m
> 0
r
1
W
1
+ r
2
W
2
+ · · · + r
n
W
n
= 0 (3)
⇔ r
1
W
1
+ r
2
W
2
+ · · · + r
m
W
m
= −r
m+1
W
m+1
− r
m +2
W
m +2
− · · · − ... m
{W
1
, W
2
, . . . , W
n
} R
m
= [r
1
r
2
. . . r
n
]
T
n × 1 r
j
> 0, ∀j = 1, , n
r
1
W
1
+ r
2
W
2
+ · · · + r
n
W
n
= 0.
{W
1
, W
2
, . . . , W
n
}
2
2.1 m × n
m ×...