Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

Appendix I / Utilities / Matrices
_ _
22.9.8 Matrix Product (Pre-Multiplier Transposed)
M_PRODUCT_AT takes matrices [A(n,m)] and [B(n,p)], and returns their
product [A] T [B] in [C(m,p)].
M_PRODUCT_ AT
( i : = [ 1(
1 ) n ] ) ∧ j:
= [ 1(
1 ) p ]
22.9.9 Matrix Product (Post-Multiplier Transposed)
22.9-3
( [ A ] , [ B ] , [ C ] , n , m , p )
Equation 22.9-15
n
( ) ⇒ c : = ( a ⋅ b )
ij
∑
k:
= p
ki
kj
Equation 22.9-16
M_PRODUCT_BT takes matrices [A(n,m)] and [B(p,m)], and returns their
product [A] [B] T in [C(n,p)].
M_PRODUCT_ BT
( i : = [ 1(
1 ) n ] ) ∧ j:
= [ 1(
1 ) p ]
( [ A ] , [ B ] , [ C ] , n , m , p )
Equation 22.9-17
m
( ) ⇒ c : = ( a ⋅ b )
22.9.10 Matrix Product (Pre and Post-Multipliers Transposed)
ij
∑
k:
= p
ik
jk
Equation 22.9-18
M_PRODUCT_AT_BT takes matrices [A(n,m)] and [B(p,n)], and returns
their product [A] T [B] T in [C(m,p)].
22.9.11 Matrix Subtraction
M_PRODUCT_ AT_BT
( i : = [ 1(
1 ) n ] ) ∧ j:
= [ 1(
1 ) p ]
( [ A ] , [ B ] , [ C ] , n , m , p )
Equation 22.9-19
n
( ) ⇒ c : = ( a ⋅ b )
ij
∑
k:
= p
ki
jk
Equation 22.9-20
M_SUBTRACT takes matrices [A(n,m)] and [B(n,m)], returning [A] - [B] in
[C(n,m)].
M_SUBTRACT
( [ A ] , [ B ] , [ C ] , n , m )
Equation 22.9-21