#' The Moore-Penrose Inverse of the Duplication Matrix - Dot Function
#'
#' @inherit pinv_of_dcap description details references return
#'
#' @param d Numeric matrix.
#' Duplication matrix.
#'
#' @family Symmetric Functions
#' @keywords linearAlgebra symmetric dot
#' @noRd
.pinv_of_dcap <- function(d) {
tcrossprod(
chol2inv(
chol(
crossprod(d)
)
),
d
)
}
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