完全主非负矩阵的逆谱问题

Inverse Eigenvalue Problem for Totally Nonnegative Matrices

本文考察了完全主非负矩阵以及完全主正矩阵的逆谱问题。

This article concerns the inverse eigenvalue problem of totally nonnegative matrices. Gener al sufficient conditions for a complex n-tuple to be the spectrum of a totally nonnegative matrix and some necessary and sufficient conditions for a given complex triple to be the spectrum of a 3 × 3 totally nonnegative matrix are presented.