Solving a Class of Quadratic Matrix Equations
Mathematics and Natural Sciences
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.
Applied Mathematics Letters
(2018). Solving a Class of Quadratic Matrix Equations. Applied Mathematics Letters, 82, 58-63.
Available at: https://aquila.usm.edu/fac_pubs/18135