Solving a Class of Quadratic Matrix Equations

Authors

Mansour Saeed Ibrahim Adam, Yangzhou University
Jiu Ding, Yangzhou UniversityFollow
Qianglian Huang, Yangzhou UniversityFollow
Lanping Zhu, Yangzhou University

Document Type

Article

Publication Date

8-1-2018

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let A be a matrix with A⁻¹ = A. We find all commuting solutions and some non-commuting solutions of the matrix equation AXA = XAX. All non-commuting solutions are also obtained under a full rank condition.

Publication Title

Applied Mathematics Letters

Volume

82

First Page

58

Last Page

63

Recommended Citation

Adam, M., Ding, J., Huang, Q., Zhu, L. (2018). Solving a Class of Quadratic Matrix Equations. Applied Mathematics Letters, 82, 58-63.
Available at: https://aquila.usm.edu/fac_pubs/18135