English

Distributed algorithms to determine eigenvectors of matrices on spatially distributed networks

Distributed, Parallel, and Cluster Computing 2020-11-24 v1 Information Theory math.IT

Abstract

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.

Keywords

Cite

@article{arxiv.2011.11223,
  title  = {Distributed algorithms to determine eigenvectors of matrices on spatially distributed networks},
  author = {Nazar Emirov and Cheng Cheng and Qiyu Sun and Zhihua Qu},
  journal= {arXiv preprint arXiv:2011.11223},
  year   = {2020}
}
R2 v1 2026-06-23T20:26:11.174Z