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.