Proceedings of the 2nd Annual International Conference on Electronics, Electrical Engineering and Information Science (EEEIS 2016)

<Previous Article In Volume
Next Article In Volume>

A complex neural network algorithm for computing the largest sum of real part and imaginary part of eigenvalues and the corresponding eigenvector of a real normal matrix

Authors
Hang Tan, Li-Ping Wan, Rong Ye, Xue-Song Liang, Zhao-Yao Wu
Corresponding Author
Hang Tan
Available Online December 2016.
DOI
10.2991/eeeis-16.2017.88How to use a DOI?
Keywords
Complex neural network; Real normal matrix; Maximum sum of real part and imaginary part; Eigenvalue; Eigenvector.
Abstract

In this study, we proposed a novel complex neural network algorithm, which extends the neural networks based approaches that can asymptotically compute the largest modulus of eigenvalues and the corresponding eigenvector to the case of directly computing the largest sum of real part and imaginary part of eigenvalues and the corresponding eigenvectors of a real normal matrix. The proposed neural network algorithm is described by a group of complex differential equations. And the algorithm has parallel processing ability in an asynchronous manner and could achieve high computing capability. This paper also provides a rigorous mathematical proof for its convergence for a more clear understanding of network dynamic behaviors relating to the computation of the eigenvector and the eigenvalue. Numerical example showed that the proposed algorithm has good performance for a general real normal matrix.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

<Previous Article In Volume
Next Article In Volume>
Volume Title
Proceedings of the 2nd Annual International Conference on Electronics, Electrical Engineering and Information Science (EEEIS 2016)
Series
Advances in Engineering Research
Publication Date
December 2016
ISBN
10.2991/eeeis-16.2017.88
ISSN
2352-5401
DOI
10.2991/eeeis-16.2017.88How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Hang Tan
AU  - Li-Ping Wan
AU  - Rong Ye
AU  - Xue-Song Liang
AU  - Zhao-Yao Wu
PY  - 2016/12
DA  - 2016/12
TI  - A complex neural network algorithm for computing the largest sum of real part and imaginary part of eigenvalues and the corresponding eigenvector of a real normal matrix
BT  - Proceedings of the 2nd Annual International Conference on Electronics, Electrical Engineering and Information Science (EEEIS 2016)
PB  - Atlantis Press
SP  - 716
EP  - 723
SN  - 2352-5401
UR  - https://doi.org/10.2991/eeeis-16.2017.88
DO  - 10.2991/eeeis-16.2017.88
ID  - Tan2016/12
ER  -