Jordan Structures of Totally Nonnegative Matrices
Shaun Fallat, Michael I. Gekhtman · Canadian Journal of Mathematics · 2005
Abstract An n × n matrix is said to be totally nonnegative if every minor of A is nonnegative. In this paper we completely characterize all possible Jordan canonical forms of irreducible totally nonnegative matrices. Our approach ismostly combinatorial and is based on the study of weighted planar diagrams associated with totally nonnegativematrices