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#' Eigen Decomposition (Descending Order)
#'
#' Computes the eigenvalues and eigenvectors of a symmetric matrix, returning them in descending order (default behavior of `eigen()`).
#'
#' @keywords internal
#'
eigen_sorted <- function(matrix_y) {
# Compute eigenvalues and eigenvectors
eigen_result <- eigen(matrix_y)
# Extract eigenvalues and eigenvectors (descending order)
eigenvalues <- eigen_result$values
eigenvectors <- eigen_result$vectors
# Sort (ascending order)
# sorted_indices <- order(eigenvalues)
# sorted_eigenvalues <- eigenvalues[sorted_indices]
# sorted_eigenvectors <- eigenvectors[, sorted_indices]
# Return as list
return(list(eigenvalues = eigenvalues, eigenvectors = eigenvectors))
#return(list(eigenvalues = sorted_eigenvalues, eigenvectors = sorted_eigenvectors))
}
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