A lower bound for distributed averaging algorithms on the line graph

We derive lower bounds on the convergence speed of a widely used class of distributed averaging algorithms. In particular, we prove that any distributed averaging algorithm whose state consists of a single real number and whose (possibly nonlinear) update function satisfies a natural smoothness cond...

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Bibliographic Details
Main Authors: Tsitsiklis, John N., Olshevsky, Alexander
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2012
Online Access:http://hdl.handle.net/1721.1/73151
https://orcid.org/0000-0003-2658-8239