Article ID Journal Published Year Pages File Type
4602372 Linear Algebra and its Applications 2008 11 Pages PDF
Abstract

We study the concept of a nonnegative matrix inducing hierarchies and apply it to the nonnegative input–output matrix of the open Leontief model, leading to properties which are stronger than the feasibility of the model. We show some examples of these matrices. The characterization of nonnegative matrices inducing hierarchies for any permutation of indices leads to certain matrices of class M(x).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory