Geodesic
M$_\vee$-matrices: a generalization of M-matrices based on eventually nonnegative matrices
The electronic journal of linear algebra, Tome 18 (2009), pp. 339-351.

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

Summary: An M $\vee $- matrix has the form A = sI - B, where s $\geq \rho (B) \geq 0$ and B is eventually nonnegative; i.e., Bk is entrywise nonnegative for all sufficiently large integers k. A theory of M$\vee $- matrices is developed here that parallels the theory ofM-matrices, in particular as it regards exponential nonnegativity, spectral properties, semipositivity, monotonicity, inverse nonnegativity and diagonal dominance.
Classification : 15A48
Keywords: M-matrix, eventually nonnegative matrix, exponentially nonnegative matrix, Perron-Frobenius 
@article{ELA_2009__18__a29,
     author = {Olesky, Dale D. and Tsatsomeros, Michael J. and van den Driessche, Pauline},
     title = {M$_\vee$-matrices: a generalization of {M-matrices} based on eventually nonnegative matrices},
     journal = {The electronic journal of linear algebra},
     pages = {339--351},
     publisher = {mathdoc},
     volume = {18},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2009__18__a29/}
}
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Olesky, Dale D.; Tsatsomeros, Michael J.; van den Driessche, Pauline. M$_\vee$-matrices: a generalization of M-matrices based on eventually nonnegative matrices. The electronic journal of linear algebra, Tome 18 (2009), pp. 339-351. http://geodesic.mathdoc.fr/item/ELA_2009__18__a29/