This method function extracts a transpose inverse square-root factor,
  or a series of transpose inverse square-root factors, of the
  correlation matrix, or list of correlation matrices,  represented by
  object. Letting \(\Sigma\) denote a correlation
  matrix, a square-root factor of \(\Sigma\) is any square
  matrix \(L\) such that \(\Sigma = L'L\). This method
  extracts \(L^{-t}\).