Category:QR Factorizations

This category contains results about QR Factorizations.
Definitions specific to this category can be found in Definitions/QR Factorizations.

Let $\mathbf A$ be a matrix of order $m \times n$ such that $m \ge n$.

A QR factorization of $\mathbf A$ is a factorization of $\mathbf A$:

$\mathbf A = \mathbf Q \mathbf R$

where:

$\mathbf Q$ consists of column vectors which are orthonormal

$\mathbf R$ is an upper triangular matrix.