Category:Schur Decompositions

This category contains results about Schur Decompositions.
Definitions specific to this category can be found in Definitions/Schur Decompositions.

Let $\mathbf A$ be a square matrix.

A Schur decomposition for $\mathbf A$ is a decomposition of $\mathbf A$ in the form:

$\mathbf A = \mathbf Q \mathbf T \mathbf Q^*$

where:

$\mathbf T$ is an upper triangular matrix

$\mathbf Q$ is a unitary matrix

$\mathbf Q^*$ denotes the Hermitian conjugate of $\mathbf Q$.