ENCYCLOPEDIA 4U .com



Encyclopedia Home Page

Google
  Web Encyclopedia4u.com

 

Generalized permutation matrix

In matrix theory, a generalized permutation matrix is a matrix with the same nonzero pattern as a permutation matrix, i.e. there is exactly one nonzero entry in each row and each column.

An example of generalized permutation matrix is

An interesting theorem states the following:
If a nonsingular matrix and its inverse are both nonnegative matrices (i.e. matrices with nonnegative entries), then the matrix is a generalized permutation matrix.




Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities.



Copyright © 2005 Par Web Solutions All Rights reserved.
| Privacy

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Generalized permutation matrix".