TY - JOUR
T1 - A fully complex-valued neural network for rapid solution of complex-valued systems of linear equations
AU - Xiao, Lin
AU - Meng, Weiwei
AU - Lu, Rongbo
AU - Yang, Xi
AU - Liao, Bolin
AU - Ding, Lei
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015
Y1 - 2015
N2 - 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 realvalued 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.
AB - 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 realvalued 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.
KW - Complex domain
KW - Complex-valued linear system
KW - Neural network
KW - Simulation verification
UR - https://www.scopus.com/pages/publications/84984614272
U2 - 10.1007/978-3-319-25393-0_49
DO - 10.1007/978-3-319-25393-0_49
M3 - 会议文章
AN - SCOPUS:84984614272
SN - 0302-9743
VL - 9377 LNCS
SP - 444
EP - 451
JO - Lecture Notes in Computer Science
JF - Lecture Notes in Computer Science
T2 - 12th International Symposium on Neural Networks, ISNN 2015
Y2 - 15 October 2015 through 18 October 2015
ER -