Geodesic
A class of inverse $M$-matrices
The electronic journal of linear algebra, Tome 7 (2000), pp. 53-58.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Nonnegative matrices whose inverses are M-matrices are called inverse M-matrices. It is still an open problem to characterize all inverse M-matrices. In this note a new class of inverse M-matrices is established. This class of nonsymmetric matrices generalizes the class of strictly ultrametric matrices.
Classification : 15A48, 15A57
Keywords: M-matrices, inverse M-matrices, nonnegative matrices, ultrametric matrices AMS subject 
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Nabben, Reinhard. A class of inverse $M$-matrices. The electronic journal of linear algebra, Tome 7 (2000), pp. 53-58. http://geodesic.mathdoc.fr/item/ELA_2000__7__a9/