多项式矩阵1
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2022-08-08
18:27:37
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( )
( )
( ) ( )
( )
( ) ( ) ( ) ( )
( )
( ) ( ) ( ) ( )
( )
2 3
2 3
2 3
2 3
1
/ / / / /
1
/ / / / /
n
n
n
n
I A I A A A A I
I A I A A A A I
I A I A A A A I
I A I A A A A I
l l l l l l
l
l l l l l l
l
- + + + + + + =
+ - + - + + - + =
- + + + + + + =
+ - + - + - + + - + =
L L
L L
L L
L L
( ) ( )
1
1
1
+ /
k
k
I A I A
l l
l
¥
-
=
æ ö
+ = -
ç ÷
è ø
å
(1.1)
根据公式(1.1)有
( ) ( )
1
1
1
= /
T T
n k n k
k
I CW C I CW C
l l
l
¥
-
+ +
=
æ ö
+ + -
ç ÷
è ø
å
(1.2)
将第二项单独计算得到
( )
( )
( )
( )
1
1
1
/
1
/ 1.2
k
T
k
k
k
T T
m k k
k
T T
m k k
CW C
C I W C C W C
C I W C C W C
l
l
l
l
¥
=
¥
+
=
-
+ +
-
æ ö
= - + -
ç ÷
ç ÷
è ø
= - +
å
å
因此有
( ) ( )
(
)
1 1
1
=
T T T
n k n m k k
I CW C I C I CW C W C
l l
l
- -
+ + +
+ - +
注意上式的每个
l
都是一样的不是随意取值
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