Geodesic
One-sided simultaneous inequalities and sandwich theorems for diagonal similarity and diagonal equivalence of nonnegative matrices
The electronic journal of linear algebra, Tome 10 (2003), pp. 81-101.

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

Summary: Results on the simultaneous scaling of nonnegative matrices involving one sided inequalities are presented. These are applied to scalings involving two sided inequalities. The proofs are graph theoretic. The setting is generalized to matrices with elements in lattice ordered Abelian groups with 0.
Classification : 15A24, 15A12, 15A45, 65F35
Keywords: nonnegative matrices, diagonal similarity scaling, diagonal equivalence scaling, digraph of a matrix, cyclic product, cycle mean, lattice ordered commutative groups 
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     author = {Hershkowitz, Daniel and Schneider, Hans},
     title = {One-sided simultaneous inequalities and sandwich theorems for diagonal similarity and diagonal equivalence of nonnegative matrices},
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     year = {2003},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2003__10__a17/}
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Hershkowitz, Daniel; Schneider, Hans. One-sided simultaneous inequalities and sandwich theorems for diagonal similarity and diagonal equivalence of nonnegative matrices. The electronic journal of linear algebra, Tome 10 (2003), pp. 81-101. http://geodesic.mathdoc.fr/item/ELA_2003__10__a17/