Econornical factorized sche1nes 589to hold with constants c 1
manipulations:
. + 2jt, when providing current
p p(^1) = 2= 2=
p [ p p l
= μ a~l (~~)
2
+ (,,\ + μ) (} a~l ~~ ~= + (l - (}) a~l ~~ ~:.Indeed, accepting here (} = 1, we find that c 1 = jt, since
p
1 = 2= (ka1J(,,~13)p
> jl 2= 1~a1^2.
e>= 1
For (} = 0 we are led to c 2 = >. + 2 μ by virtue of the relations
p p
1=μ 2= 1~a1^2 +(>.+μ) 2= ~~~~
a,s=lp 1' p
= μ 2= 1~a1^2 + (>. + μ) 2= (2:: (~~)
2
)
a=l u=l s=l
p
= (.>. + 21-t) 2= 1~u1^2.
ex= lThus, c 1 = p and c 2 = >. + 2jt. The same operator R will be adopted as a
regularizer in the further development:
Ra y = -(J' y,,. ,,, a:...., ~ a:.