This study presents some new iterative algorithms based on the gradient method to solve general constrained systems of conjugate transpose matrix equations for both real and complex matrices. In addition, we analyze the convergence properties of these methods and provide numerical techniques to determine the solutions. The effectiveness of the proposed iterative methods is demonstrated through various numerical examples employed in this study.

中文翻译：

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共轭转置矩阵方程约束系统的迭代方法

本研究提出了一些基于梯度法的新迭代算法来求解实矩阵和复矩阵的共轭转置矩阵方程的一般约束系统。此外，我们分析了这些方法的收敛特性，并提供数值技术来确定解决方案。通过本研究中使用的各种数值例子证明了所提出的迭代方法的有效性。