On the Yang-Baxter-like Matrix Equation for Rank-two Matrices

Authors

Duanmei Zhou, Gannan Normal University
Guoliang Chen, East China Normal University
Jiu Ding, University of Southern MississippiFollow

Document Type

Article

Publication Date

3-2017

Department

Mathematics

Abstract

Let A = PQ^T, where P and Q are two n × 2 complex matrices of full column rank such that Q^TP is singular. We solve the quadratic matrix equation AXA = XAX. Together with a previous paper devoted to the case that Q^TP is nonsingular, we have completely solved the matrix equation with any given matrix A of rank-two.

Publication Title

Open Mathematics

Volume

15

First Page

340

Last Page

353

Recommended Citation

Zhou, D., Chen, G., Ding, J. (2017). On the Yang-Baxter-like Matrix Equation for Rank-two Matrices. Open Mathematics, 15, 340-353.
Available at: https://aquila.usm.edu/fac_pubs/17709