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2012 Mar 15
1
eigenvalues of matrices of partial derivatives with ryacas
Hello,
I am trying to construct two matrices, F and V, composed of partial
derivatives and then find the eigenvalues of F*Inverse(V). I have the
following equations in ryacas notation:
> library(Ryacas)
> FIh <- Expr("betah*Sh*Iv")
> FIv <- Expr("betav*Sv*Ih")
> VIh <- Expr("(muh + gamma)*Ih")
> VIv <- Expr("muv*Iv")
I successfully found the partial derivatives:
> f11 <- deriv(FIh, "Ih")
> f12 <- deriv(FIh, "Iv")
> f21 <...
2000 Sep 11
0
SAMPLS R implementation : pbm with algorithm application
...s=Cyh
center s
working scalar for prediction sample s*=c*Tyh
orthogonalize s to previous t: for g=1,...(h-1),
s=s-(tgTs/tgTtg)tg
orthogonalize s* to previous t*: for g=1,...(h-1),
s*=s*-(tgTs/tgTtg)t*g
t*h=s*
th=s
th2=tTt
betah=(tTyh)/th2
update yh+1=yh-betahth
buid up prediction y*h+1=y*h+betaht*h
end of cycle
----------------------------------- R-code
##xe and ye are the explanatories and responses matrices, xtest and
ytestsampls the variables for 1 sample
x2<-scale(xe,scale=FALSE)
y2<-...