ABSTRACT
DðuÞZ kvKuk (8.1)
where the norm is the inner product generated norm.
Since u
, u
,.,u
spans S any vector in S may be written as a linear
combination of the vectors in this basis
uZ
X
a
u
(8.2)
Thus D(u)Z f(a
,a
,.,a
) and is rendered stationary if dD(u)Z0. This
implies
X
vD
va
da
Z 0 (8.3)
vD
va
Z 0 iZ 1;2;.;n (8.4)
Substitution of Equation 8.2 into Equation 8.1 leads to
DðuÞZ
vK
X
a
u
Z vK
X
a
u
;vK
X
a
u
‰ !
