Author(s)

Hongcai Yin¹, Huamin Zhang²

¹School of Management Science and Engineering, Anhui University of Finance & Economics, Bengbu, China.
²College of Information & Network Engineering, Anhui Science & Technology University, Bengbu, China.

Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, a convergence proof is offered. The necessary and sufficient conditions for the optimal convergence factor are determined. A numerical example is offered to validate the efficacy of the suggested algorithm.

Hierarchical Identification Principle, Complex Conjugate and Transpose Matrix Equation, Real Representation of a Complex

Yin, H. and Zhang, H. (2021) Gradient-Based Iterative Algorithm for a Coupled Complex Conjugate and Transpose Matrix Equations. Advances in Linear Algebra & Matrix Theory, 11, 92-107. doi: 10.4236/alamt.2021.113007.