Paper Info
Title
A Distributed Algorithm Based on Multi-agent Network for Solving Linear Algebraic Equation.
Abstract
This paper presents a distributed discrete-time consensus algorithm based on multi-agent network to solve large-scale linear algebraic equation (LAE). The matrix in the LAE is divided into submatrices by the columns. Each agent in the network only has its own local data on the LAE and all the agents collaboratively find the solutions while they communicate with their neighbors. Based on the Lyapunov method for difference equation, the multi-agent network is analyzed to reach consensus at the solutions under some mild conditions. Compared with existing algorithms for LAE, the proposed algorithm is capable of solving large-scale distributed LAE problems with fixed step size.
Year
DOI
Venue
2018
10.1007/978-3-319-92537-0_48
ADVANCES IN NEURAL NETWORKS - ISNN 2018
Keywords
Field
DocType
Linear algebraic equation (LAE),Distributed algorithm,Multi-agent network,Convergence
Convergence (routing),Differential equation,Applied mathematics,Consensus algorithm,Lyapunov function,Pattern recognition,Matrix (mathematics),Computer science,Algebraic equation,Distributed algorithm,Artificial intelligence,Block matrix
Conference
Volume
ISSN
Citations 
10878
0302-9743
0
PageRank 
References 
Authors
0.34
16
5
Name
Order
Citations
PageRank
Qingshan Liu1102146.49
Jiang Xiong202.03
Jing Zhong3476.21
Hong Ying401.35
Kaixuan Li500.34