===== Singular values of a matrix =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $ A \in \mathrm{SquareMatrix}(n,\mathbb C) $ |

| @#FFBB00: definiendum | @#FFBB00: $ \sqrt{\lambda} \in \mathrm{SingularVal}(A) $ |

| @#55EE55: postulate   | @#55EE55: $ \lambda \in \mathrm{EigenVal}(A^*A) $ |

==== Discussion ====
Note that $A^*A$ is always Hermitian positive semi-definite matrix. 

Singular values make sense for more general operators too. 
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Singular_value|Singular value]], [[http://en.wikipedia.org/wiki/Matrix_norm|Matrix norm]]
==== Parents ====
=== Context ===
[[Matrix eigenvalue]]