Original version
The Electronic Journal of Linear Algebra. 2023, 39, 260-281, DOI: https://doi.org/10.13001/ela.2023.7471
Abstract
We introduce a generalization of alternating sign matrices (ASMs) called multiASMs and develop some of their properties. Classes of multiASMs with specified row and column sum vectors R and S extend the classes of (0,1)-matrices with specified R and S. The special case when R=S is a constant vector, in particular all 2's, is treated in more detail. We also investigate the polytope spanned by a class of multiASMs. Finally, we discuss the possibility of defining a Bruhat order on a class of multiASMs.