%0 Journal Article %T Gradient-Based Iterative Algorithm for a Coupled Complex Conjugate and Transpose Matrix Equations %A Hongcai Yin %A Huamin Zhang %J Advances in Linear Algebra & Matrix Theory %P 92-107 %@ 2165-3348 %D 2021 %I Scientific Research Publishing %R 10.4236/alamt.2021.113007 %X 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. %K Hierarchical Identification Principle %K Complex Conjugate and Transpose Matrix Equation %K Real Representation of a Complex %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=111578