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2
MCA EXIN NEURON
*
2.1 RAYLEIGH QUOTIENT
Definition 41 (RQ)
The
Rayleigh
1
quotient r
is a function that assigns to any
nonzero
complex vector u the scalar quantity
j
k
c
jk
u
j
u
k
i
|
u
i
|
u
∗
Cu
u
∗
u
=
r
(
u
)
≡
r
(
u
,
C
)
≡
(2.1)
2
where C
=
c
jk
.
The most relevant properties of the RQ are the following (for the proofs, see
[14,84,149,150]):
•
Homogeneity
:
r
(α
u
,
β
C
)
=
β
r
(
u
,
C
)
∀
α
,
β
=
0
(2.2)
•
Translation invariance
:
r
(
u
,
C
−
α
I
)
=
r
(
u
,
C
)
−
α
(2.3)
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