Jordan Structures of Totally Nonnegative Matrices

[摘要] An $n imes n$ matrix is said to be totally nonnegative if everyminor of $A$ is nonnegative. In this paper we completelycharacterize all possible Jordan canonical forms of irreducibletotally nonnegative matrices. Our approach is mostly combinatorialand is based on the study of weighted planar diagrams associatedwith totally nonnegative matrices.

[学科分类] 数学（综合）