matlab 程式設計進階篇 matrix notations
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MATLAB 程式設計進階篇 Matrix Notations. 張智星 (Roger Jang) jang@mirlab.org http://mirlab.org/jang 清大資工系 多媒體檢索實驗室. Transpose and Inverse. A property of Matrix transpose A property of matrix inverse. Gradient of a Function. Gradient of a function If. Quadratic Form. Quadratic form of - PowerPoint PPT Presentation
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MATLAB 程式設計進階篇Matrix Notations
張智星 (Roger Jang)jang@mirlab.org
http://mirlab.org/jang清大資工系 多媒體檢索實驗室
Transpose and Inverse A property of Matrix transpose
A property of matrix inverse
TTT ABAB
111 ABAB
Gradient of a Function Gradient of a function
If
xf
nn x
x
where
xf
xf
f 11
,
/
/
x
x
x
x
cxxcx TTf
nc
c
f 1
cx
Quadratic form of
A can be assumed symmetric since
Quadratic Form x
n
i
n
ijjjiij
n
iiii
T xxaxaA1 ,11
2xx
xxxx2
TTT AA
A
The gradient of a quadratic form
Gradient of a Quadratic Form
otherwiseAA
symetricisAifAA T
T
,
,2
x
xxx
Some common formulas
Common Formulas
iy
bxcxbxx
xxx
yxy
yyx
xxx
yxyyx
AA
AA
AA
AA
TT
T
TT
T
T
TT
2
2
2
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