# Pseudoinverse

I believe that Carl. D. Meyer (p393 ^{[1]}) provides the best definition of the term pseudoinverse. Pseudoinverse is an umbrella term, and there are three types of pseudoinverse:

**Inner**pseudoinverse of is such that**Outer**pseudoinverse of is such that**Reflexive**pseudoinverse of is such that and

It looks like the close term generalized inverse, used by Harville (p107), means inner pseudoinverse.

### Important pseudoinverses[edit]

- The quintessential pseudoinverse is the Moore-Penrose Pseudoinverse, which is a
*reflexive*pseudoinverse - Another critical pseudoinverse is the Drazin Inverse, which is an outer pseudoinverse.

## References[edit]

- ↑ Carl D. Meyer, "Matrix Analysis and Applied Linear Algebra"