% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/get_B.R
\name{.compute_Xy_V}
\alias{.compute_Xy_V}
\title{Compute Partitioned GLS Cross-Products}
\usage{
.compute_Xy_V(X, y, VhalfInv_perm, K, p_expansions, order_list)
}
\arguments{
\item{X}{List of partition-specific design matrices.}

\item{y}{List of response vectors by partition.}

\item{VhalfInv_perm}{\eqn{\mathbf{V}^{-1/2}} permuted to partition
ordering.}

\item{K, p_expansions}{Integer dimensions.}

\item{order_list}{Partition-to-data index mapping (unused here but
retained for interface consistency).}
}
\value{
A list of \eqn{K+1} column vectors, each
  \eqn{p\_expansions \times 1}.
}
\description{
Computes \eqn{\mathbf{X}_k^{\top}\mathbf{V}^{-1}\mathbf{y}} for each
partition, accounting for cross-partition contributions from the
correlation structure.
}
\keyword{internal}
