qr                      The QR factorization of a matrix
qr_Q                    Reconstruct the Q, matrix from a QR object.
qr_Q_full               Reconstruct the full Q matrix from the qr
                        object.
qr_Q_reduced2full       Reconstruct the full Q matrix from the reduced
                        Q matrix.
qr_Qty                  Multiply Q by a vector using a QR decomposition
qr_Qy                   Multiply Q by a vector using a QR decomposition
qr_R                    Reconstruct the R, matrix from a QR object.
qr_X                    Reconstruct the original matrix from which the
                        object was constructed X\in\mathbb{R}^{n\times
                        p} from the Q and R matrices of the QR
                        decomposition.
qr_coef                 Compute least-squares coefficients from a QR
                        decomposition
qr_fast                 Fast full QR decomposition
qr_fitted               Compute fitted values from a QR decomposition
qr_lm                   Ordinary least squares for the linear
                        regression model
qr_lse_Qty              Compute Q'y for a least-squares problem
qr_lse_Qy               Compute Qy for a least-squares problem
qr_lse_coef             Compute least-squares coefficients using QR
                        decomposition
qr_lse_fitted           Compute fitted values using QR decomposition
qr_lse_resid            Compute residuals using QR decomposition
qr_pivot2perm           Reconstruct the permutation matrix from the
                        pivot vector.
qr_resid                Compute residuals from a QR decomposition
qr_thin                 Fast thin QR decomposition
qrchol                  Cholesky decomposition via QR factorization.
qrdowndate              Fast downdating of the QR factorization
qrls                    Ordinary least squares for the linear
                        regression model
qrmls                   Ordinary least squares for the linear
                        multivariate regression model
qrmridge                RIDGE estimator for the linear multivariate
                        regression model
qrmridge_cv             Cross-validation of the RIDGE estimator for the
                        linear multivariate regression model
qrridge                 RIDGE estimation for the linear regression
                        model
qrridge_cv              Cross-validation of the RIDGE estimator for the
                        linear regression model
qrsolve                 Solution of linear system of equations, via the
                        QR decomposition.
qrupdate                Fast updating of the QR factorization
rchol                   Cholesky decomposition via R factorization.
rdowndate               Fast downdating of the R matrix
rupdate                 Fast updating of the R matrix
