Distributed Algorithms for Solving Linear Equations [196-A0C]
Xuan Wang, Jingqiu Zhou
The goal of our research is to propose distributed algorithms for solving linear equations by multi-agent networks. In the network, each agent only knows part of these linear equations and is able to communicate with its nearby neighbors. The key idea behind the algorithms is a so-called ``agreement principle", in which each agent limits the update of its state to satisfy its own equation meanwhile trying to reach a consensus with its nearby neighbors' states.