TWO CHARACTERIZATIONS OF INVERSE-POSITIVE MATRICES: THE HAWKINS-SIMON CONDITION AND THE LE CHATELIER-BRAUN PRINCIPLE ∗

By T. Fujimoto, R. Ranade. 2004

105 citations recorded by the source corpus.

Dedicated to the late Professors David Hawkins and Hukukane Nikaido Abstract. 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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/a32f1376b4463a1bc8586f65c4778d45e907fa2b

Citations in the corpus

• A positive and bounded finite element approximation of the generalized Burgers–Huxley equation (2015, unknown): “In [24], conditions to ensure that A is an M -matrix [13] were investigated.”