The doubly graded matrix cone and Ferrers matrices
A doubly graded (\(n\times m\)) matrix, by definition, is a nonnegative matrix with each row and column nonincreasing. The polyhedral cone \(\mathcal M\) consisting of all doubly graded matrices is studied: the faces are determined and related to the Ferrers matrices; different subsets of \(\mathcal M\) are investigated. The problem of the existence of an integral doubly graded matrix with given line sums is studied as well.
scientific article; zbMATH DE number 1956799