A Fully Complex-Valued Neural Network for Rapid Solution of Complex-Valued Systems of Linear Equations

  • Lin XiaoEmail author
  • Weiwei Meng
  • Rongbo Lu
  • Xi Yang
  • Bolin Liao
  • Lei Ding
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9377)


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.


complex domain simulation verification complex-valued linear system neural network 


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Authors and Affiliations

  • Lin Xiao
    • 1
    Email author
  • Weiwei Meng
    • 2
  • Rongbo Lu
    • 1
  • Xi Yang
    • 1
  • Bolin Liao
    • 1
  • Lei Ding
    • 1
  1. 1.College of Information Science and EngineeringJishou UniversityJishouChina
  2. 2.Department of Computer and Information SciencesDelaware State UniversityDoverUSA

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