updateAlpha = function(
YMat,
Data,
Param,
DEBUG=F,
Verbose=0){
if(Verbose>0){print("update Alpha")}
W = Data$W
Z = Data$Z
Knm = Param[["Knm"]]
omega2 = Param[["omega2"]]
tZ = cbind(Z,Knm)
zeta = Param$zeta
WtVinv = t(W/omega2) - (t(W/omega2)%*%tZ)%*%Solve(Param$Phiinv)%*%(t(tZ/omega2))
WtVinvW = WtVinv%*%W
Atmp = solve(WtVinvW, WtVinv)
A = solve(WtVinvW, t(YMat$YtOinvW)-(t(W/omega2)%*%tZ)%*%Solve(Param$Phiinv)%*%t(cbind(YMat$YtOinvZ,YMat$YtOinvKnm))) - c(solve(WtVinvW, WtVinv%*%(Z%*%zeta)))
list(Alpha = A)
}
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