The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Fast linear iterations for distributed averaging
Abstract
We consider the problem of finding a linear iteration that yields distributed averaging consensus over a network, i.e., that asymptotically computes the average of some initial values given at the nodes. When the iteration is assumed symmetric, the problem of finding the fastest converging linear iteration can be cast as a semidefinite program, and therefore efficiently and globally solved. These optimal linear iterations are often substantially faster than several simple heuristics that are based on the Laplacian matrix of the associated graph.
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Cites
Coordination of groups of mobile autonomous agents using nearest neighbor rules
Jadbabaie, A., Lin, J., & Morse, A. S. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.812781 · Cited by 8,339
Biggs, N. (1974) · doi:10.1017/cbo9780511608704 · Cited by 2,940
Numerical Methods for Large Eigenvalue Problems: Revised Edition
Saad, Y. (2011) · doi:10.1137/1.9781611970739 · Cited by 2,364
Consensus protocols for networks of dynamic agents
Saber, R. O., & Murray, R. M. (2004) · Proceedings of the 2003 American Control Conference, 2003. · doi:10.1109/acc.2003.1239709 · Cited by 901
Cited by
Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
Olfati-Saber, R., & Murray, R. M. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.834113 · Cited by 12,788
Boyd, S., Ghosh, A., Prabhakar, B., & Shah, D. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2006.874516 · Cited by 2,439
Self-citationEXTRA: An Exact First-Order Algorithm for Decentralized Consensus Optimization
Shi, W., Ling, Q., Wu, G., & Yin, W. (2015) · SIAM Journal on Optimization · doi:10.1137/14096668x · Cited by 1,261
Achieving Geometric Convergence for Distributed Optimization Over Time-Varying Graphs
Nedić, A., Olshevsky, A., & Shi, W. (2017) · SIAM Journal on Optimization · doi:10.1137/16m1084316 · Cited by 1,069
Semidefinite programming for optimal power flow problems
Bai, X., Wei, H., Fujisawa, K., & Wang, Y. (2008) · International Journal of Electrical Power & Energy Systems · doi:10.1016/j.ijepes.2007.12.003 · Cited by 573
Metadata
- Authors
- Xiao, L., & Boyd, S.
- Venue
- 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)
- Publisher
- IEEE
- Published
- 2004-06-21
- Pages
- 4997-5002
- OpenAlex
- W2169593613
- Cited by
- 218
- References
- 4
- FWCI
- 2.06
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Xiao, L., & Boyd, S. (2004). Fast linear iterations for distributed averaging. 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475). https://doi.org/10.1109/cdc.2003.1272421
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