论文标题

分布式算法以确定空间分布式网络上矩阵的特征向量

Distributed algorithms to determine eigenvectors of matrices on spatially distributed networks

论文作者

Emirov, Nazar, Cheng, Cheng, Sun, Qiyu, Qu, Zhihua

论文摘要

网络上矩阵的特征向量已用于理解顶点的光谱聚类和影响。对于具有较小的测量宽度的矩阵,我们在这封信中提出了一种分布式的迭代算法,以查找与给定特征值相关的特征向量。我们还考虑在空间分布的网络中在顶点/代理级别上实现所提出的算法。

Eigenvectors of matrices on a network have been used for understanding spectral clustering and influence of a vertex. For matrices with small geodesic-width, we propose a distributed iterative algorithm in this letter to find eigenvectors associated with their given eigenvalues. We also consider the implementation of the proposed algorithm at the vertex/agent level in a spatially distributed network.

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