In this paper, online solution of complex-valued systems of linear equations is investigated in the complex domain. Different from the conventional real-valued neural network, which is only designed for real-valued linear equations solving, a fully complex-valued gradient neural network GNN is developed for online complex-valued systems of linear equations. The advantages of the proposed complex-valued GNN model decrease the unnecessary complexities in theoretical analysis, real-time computation and related applications. In addition, the theoretical analysis of the fully complex-valued GNN model is presented. Finally, simulative results substantiate the effectiveness of the fully complex-valued GNN model for online solution of the complex-valued systems of linear equations in the complex domain.
['Lin Xiao', 'Weiwei Meng', 'Rongbo Lu', 'Xi Yang', 'Bolin Liao', 'Lei Ding']
A Fully Complex-Valued Neural Network for Rapid Solution of Complex-Valued Systems of Linear Equations