ONE-SIDED SIMULTANEOUS INEQUALITIES AND SANDWICH THEOREMS FOR DIAGONAL SIMILARITY AND DIAGONAL EQUIVALENCE OF NONNEGATIVE MATRICES ∗

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 generalizedto matrices with elements in lattice ord eredAbelian groups with 0.