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

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Advances in Neural Networks – ISNN 2015 (ISNN 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9377))

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Abstract

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.

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Author information

Authors and Affiliations

  1. College of Information Science and Engineering, Jishou University, Jishou, 416000, China

    Lin Xiao, Rongbo Lu, Xi Yang, Bolin Liao & Lei Ding

  2. Department of Computer and Information Sciences, Delaware State University, Dover, USA

    Weiwei Meng

Authors
  1. Lin Xiao
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  2. Weiwei Meng
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  3. Rongbo Lu
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  4. Xi Yang
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  5. Bolin Liao
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  6. Lei Ding
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Corresponding author

Correspondence to Lin Xiao .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Technology, Tsinghua University, Beijing, China

    Xiaolin Hu

  2. Fuzhou University, Fuzhou, China

    Yousheng Xia

  3. School of Information Science and Technology, Sun Yat-sen University, Guangzhou, China

    Yunong Zhang

  4. Chinese Academy of Sciences, Institute of Automation, Beijing, China

    Dongbin Zhao

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© 2015 Springer International Publishing Switzerland

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Xiao, L., Meng, W., Lu, R., Yang, X., Liao, B., Ding, L. (2015). A Fully Complex-Valued Neural Network for Rapid Solution of Complex-Valued Systems of Linear Equations. In: Hu, X., Xia, Y., Zhang, Y., Zhao, D. (eds) Advances in Neural Networks – ISNN 2015. ISNN 2015. Lecture Notes in Computer Science(), vol 9377. Springer, Cham. https://doi.org/10.1007/978-3-319-25393-0_49

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  • DOI: https://doi.org/10.1007/978-3-319-25393-0_49

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25392-3

  • Online ISBN: 978-3-319-25393-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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