Category:Definitions/QR Factorizations

This category contains definitions related to QR Factorizations.
Related results can be found in Category: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.