Sign-restricted matrices of 0's, 1's, and −1's

We study sign-restricted matrices (SRMs), a class of rectangular ( 0 , ± 1 ) -matrices generalizing the alternating sign (ASMs). In an SRM each partial column sum, starting from row 1, equals or and is nonnegative. determine maximum number nonzeros in SRMs characterize possible sum vectors. Moreover, results on interchange operations are shown, both for and, more generally, -matrices. The Bruhat order ASMs can be extended to with result distributive lattice. Also, we polytopes associated some relates decompositions.