ELA, Volume 11, pp. 59-65, April 2004, abstract.

Two characterizations of inverse-positive matrices: 
the Hawkins-Simon condition and the Le Chatelier-Braun 
principle

Takao Fujimoto and Ravindra R. Ranade

It is shown that (a weak version of) the Hawkins-Simon 
condition is satisfied by any real square matrix which is 
inverse-positive after a suitable permutation of columns 
or rows. One more characterization of inverse-positive 
matrices is given concerning the Le Chatelier-Braun principle. 
The proofs are all simple and elementary.