# Fast QR Decomposition and Update

## Documentation for package ‘fastQR’ version 1.1.4

- DESCRIPTION file

## Help Pages

qr | The QR factorization of a matrix
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
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_coef | Compute least-squares coefficients using QR decomposition
qr_lse_fitted | Compute fitted values using QR decomposition
qr_lse_Qty | Compute Q'y for a least-squares problem
qr_lse_Qy | Compute Qy for a least-squares problem
qr_lse_resid | Compute residuals using QR decomposition
qr_pivot2perm | Reconstruct the permutation matrix from the pivot vector.
qr_Q | Reconstruct the Q, matrix from a QR object.
qr_Qty | Multiply Q by a vector using a QR decomposition
qr_Qy | Multiply Q by a vector using a QR decomposition
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_R | Reconstruct the R, matrix from a QR object.
qr_resid | Compute residuals from a QR decomposition
qr_thin | Fast thin QR decomposition
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.
rchol | Cholesky decomposition via R factorization.
rdowndate | Fast downdating of the R matrix
rupdate | Fast updating of the R matrix