Editing Cholesky decomposition (section)

===Matrix inversion===
The explicit [[inverse matrix|inverse]] of a Hermitian matrix can be computed by Cholesky decomposition, in a manner similar to solving linear systems, using <math display=inline>n^3</math> operations (<math display=inline>\tfrac{1}{2} n^3</math> multiplications).<ref name="kri"/> The entire inversion can even be efficiently performed in-place.

A non-Hermitian matrix {{math|'''B'''}} can also be inverted using the following identity, where '''BB'''* will always be Hermitian:

<math display=block>\mathbf{B}^{-1} = \mathbf{B}^* (\mathbf{B B}^*)^{-1}.</math>