Matrices whose powers are eventually triangular-Reference-Cited by-同舟云学术

Matrices whose powers are eventually triangular

Published:2023 Issue:26 Volume:37 Page:8867-8885
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ma Chao¹,Ren Yali²,Li Zheng³,Zhong Jin⁴

Affiliation:

1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China + Department of Mathematics, Shanghai Maritime University, Shanghai, China

2. Department of Mathematics, Shanghai Maritime University, Shanghai, China

3. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, China

4. Faculty of Science, Jiangxi University of Science and Technology, Ganzhou, China

Abstract

Square matrices whose powers eventually have some special properties are of both theoretical significance and application value. This paper investigates those complex matrices whose powers are eventually triangular. We completely characterize the eventually triangular complex matrices of order not greater than 4, and extend the results to the nonnegative case. Eventually triangular matrices of order n are also discussed.

Publisher

National Library of Serbia

Reference19 articles.

1. R.B. Bapat, T.E.S. Raghavan, Nonnegative Matrices and Applications, Cambridge University Press, Cambridge, 1997.

2. A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, SIAM, Philadelphia, 1994.

3. S. Carnochan Naqvi, J.J. McDonald, The combinatorial structure of eventually nonnegative matrices, Electron. J. Linear Algebra 9 (2002), 255-269.

4. S. Carnochan Naqvi, J.J. McDonald, Eventually nonnegative matrices are similar to seminonnegative matrices, Linear Algebra Appl. 381 (2004), 245-258.

5. M. Che, C. Bu, L. Qi, Y.Wei, Nonnegative tensors revisited: plane stochastic tensors, Linear Multilinear Algebra 67(7) (2019), 1364-1391.