Solving the Yang-Baxter-Like Matrix Equation for Rank-Two Matrices

Authors

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

Document Type

Article

Publication Date

3-15-2017

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let A = PQ^T, where P and Q are two n × 2 complex matrices of full column rank such that detQ^TP ≠ 0 and so 0 is a semisimple eigenvalue of A with multiplicity n − 2. We solve the quadratic matrix equation AXA = XAX completely.

Publication Title

Journal of Computational and Applied Mathematics

Volume

313

First Page

142

Last Page

151

Recommended Citation

Zhou, D., Chen, G., Ding, J. (2017). Solving the Yang-Baxter-Like Matrix Equation for Rank-Two Matrices. Journal of Computational and Applied Mathematics, 313, 142-151.
Available at: https://aquila.usm.edu/fac_pubs/15291