pith. sign in

arxiv: 1806.09978 · v1 · pith:ZJATSIVKnew · submitted 2018-06-22 · 🧮 math.SP

Guo's index for some classes of matrices

classification 🧮 math.SP
keywords matrixindexsomelambdalistmatricespermutativeradius
0
0 comments X
read the original abstract

A permutative matrix is a square matrix such that every row is a permutation of the first row. A circulant matrix is a matrix where each row is a cyclic shift of the row above to the right. The Guo's index $\lambda_0$ of a realizable list is the minimum spectral radius such that the list (up to the initial spectral radius) together with $\lambda_0$ is realizable. The Guo's index of some permutative matrices is obtained. Our results are constructive. Some examples designed using MATLAB are given at the end of the paper.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.