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

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Takao Fujimoto
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 converning the Le Chatelier-Braun principle. The proofs are all simple and elementary. 

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