Geodesic
A note on Newton and Newton-like inequalities for $M$-matrices and for Drazin inverses of $M$-matrices
The electronic journal of linear algebra, Tome 15 (2006), pp. 314-328.

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

Summary: In a recent paper Holtz showed that M-matrices satisfy Newton's inequalities and so do the inverses of nonsingular M-matrices. Since nonsingular M-matrices and their inverses display various types of monotonic behavior, monotonicity properties adapted for Newton's inequalities are examined for nonsingular M-matrices and their inverses.
Classification : 15A09, 15A24, 15A42
Keywords: M-matrices, nonnegative matrices, generalized inverses, Newton's inequalities 
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     title = {A note on {Newton} and {Newton-like} inequalities for $M$-matrices and for {Drazin} inverses of $M$-matrices},
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Neumann, Michael; Xu, Jianhong. A note on Newton and Newton-like inequalities for $M$-matrices and for Drazin inverses of $M$-matrices. The electronic journal of linear algebra, Tome 15 (2006), pp. 314-328. http://geodesic.mathdoc.fr/item/ELA_2006__15__a2/