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A neural-network approach solving symmetric linear system

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成果类型:
期刊论文
作者:
Zeng, Zhezhao;Zhou, Xu;Zhang, Bin
通讯作者:
Zeng, Z.(hncs6699@yahoo.com.cn)
作者机构:
[Zeng, Zhezhao; Zhang, Bin; Zhou, Xu] College of Electric and Information Engineering, Changsha University of Science and Technology, Changsha 410014, China
通讯机构:
College of Electric and Information Engineering, Changsha University of Science and Technology, China
语种:
英文
关键词:
Neural network, RLS algorithm;Symmetric positive definite linear systems
期刊:
The Journal of Information and Computational Science
ISSN:
1548-7741
年:
2012
卷:
9
期:
8
页码:
2305-2311
机构署名:
本校为第一且通讯机构
院系归属:
电气与信息工程学院
摘要:
This paper presents a neural-network solver for the solution of the linear system of equations, where the coefficient matrix is a symmetric positive definite. The main idea of the method is that the linear system of equations is factored in the form of linear algebraic equations, and then the neural-network model is constructed by this algebraic equation. The Recursive Least-square (RLS) algorithm is used to train the weight vector of the neural network. The results reveal that the proposed method is ver...

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