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Recurrent neural network model for computing largest and smallest generalized eigenvalue

delete2008-10-01
delete16
PRE
AI
L
Lijun Liu *
H
Hongmei Shao
董楠 封面图
董楠 (Nan Dong)
DOI:10.1016/j.neucom.2008.05.005delete
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摘要

摘要

En 中文
A continuous recurrent neural network model is presented for computing the largest and smallest generalized eigenvalue of a symmetric positive pair (A,B). Convergence properties to the extremum eigenvalues based upon Liapunov functional with the help of the generalized eigen-decomposition theorem is obtained. Compared with other existing models, this model is also suitable for computing the smallest generalized eigenvalue simply by replacing A by -A as well as maintaining invariant norm property. Numerical simulation further shows the effectiveness of the proposed model. (C) 2008 Elsevier B.V. All rights reserved.
Keyword:
Recurrent neural network
Generalized eigenvalue
Real symmetric matrix
Convergence
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期刊

Neurocomputing 封面图
Neurocomputing
IF:
6.5
论文数:
2.5W
被引数:
6.5W

机构

D
Dalian Minzu University
学者数:
2.0K
论文数: 1.7K
被引数: 2.6K
B
Beijing University of Technology
学者数:
2.8W
论文数: 2.1W
被引数: 2.7W
C
china university of petroleum
学者数:
4.1W
论文数: 2.7W
被引数: 30
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