Open Access

Further Results on the Reverse Order Law for -Inverse and -Inverse of a Matrix Product

Journal of Inequalities and Applications20102010:312767

https://doi.org/10.1155/2010/312767

Received: 28 October 2009

Accepted: 16 April 2010

Published: 24 May 2010

Abstract

Both Djordjević (2007) and Takane et al. (2007) have studied the equivalent conditions for and . In this note, we derive the necessary and sufficient conditions for , , and .

Publisher note

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Authors’ Affiliations

(1)
College of Mathematics and Statistics, Chongqing University

Copyright

© D. Liu and H. Yang. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.