Adaptive Parameter Alternating Direction Algorithm for Centrosymmetric Solutions of a Class of Generalized Coupled Sylvester-transpose Matrix Equations.

We propose an adaptive parameter alternating direction algorithm to solve a class of generalized coupled Sylvester-transpose matrix equations over centrosymmetric matrices. Under appropriate constraints, we prove that the algorithm is convergent. Finally, we illustrate the feasibility and effectiveness of this method through numerical experiments. [ABSTRACT FROM AUTHOR]