English

Matrices with totally positive powers and their generalizations

Spectral Theory 2014-01-07 v2

Abstract

In this paper, eventually totally positive matrices (i.e. matrices all whose powers starting with some point are totally positive) are studied. We present a new approach to eventual total positivity which is based on the theory of eventually positive matrices. We mainly focus on the spectral properties of such matrices. We also study eventually J-sign-symmetric matrices and matrices, whose powers are P-matrices.

Keywords

Cite

@article{arxiv.1310.6950,
  title  = {Matrices with totally positive powers and their generalizations},
  author = {Olga Y. Kushel},
  journal= {arXiv preprint arXiv:1310.6950},
  year   = {2014}
}
R2 v1 2026-06-22T01:54:15.679Z