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#' @importFrom stats rnorm
#' @importFrom MCMCpack rwish
#'
updateGammaV = function(Beta,Gamma,iV,rho, Tr,C, iQg,RQg, mGamma,iUGamma,V0,f0){
ns = ncol(Beta)
nc = nrow(Beta)
nt = ncol(Tr)
if(is.null(C)){
iQ = diag(ns)
RQ = diag(ns)
} else{
iQ = iQg[,,rho]
RQ = RQg[,,rho]
}
Mu = tcrossprod(Gamma, Tr)
E = Beta - Mu
A = E %*% tcrossprod(iQ, E)
Vn = chol2inv(chol(A+V0))
iV = rwish(f0+ns, Vn);
# tmp = crossprod(Tr, iQ)
# R = chol(iUGamma + kronecker(iV, tmp %*% Tr))
# res = tmp %*% crossprod(Beta, iV)
# mGammaS = chol2inv(R) %*% (iUGamma %*% mGamma + as.vector(res))
# Gamma = mGammaS + backsolve(R,rnorm(nc*nt))
# Gamma = matrix(Gamma,nc,nt,byrow=TRUE)
R = chol(iUGamma + kronecker(crossprod(backsolve(RQ,Tr,transpose=TRUE)), iV))
mg = chol2inv(R) %*% (iUGamma%*%mGamma + as.vector((iV%*%Beta)%*%(iQ%*%Tr)))
Gamma = matrix(mg + backsolve(R,rnorm(nc*nt)),nc,nt)
return(list(Gamma=Gamma, iV=iV))
}
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