Reference : An Iterative Projection method for Synchronization of Invertible Matrices Over Graphs

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/28004

Title :	An Iterative Projection method for Synchronization of Invertible Matrices Over Graphs
Language :	English
Author, co-author :	Thunberg, Johan [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
	Colombo, Nicolo [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
	Yue, Zuogong [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > Life Science Research Unit >]
	Goncalves, Jorge [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Publication date :	2016
Main document title :	22nd International Symposium on Mathematical Theory of Networks and Systems
Peer reviewed :	Yes
Audience :	International
City :	Minneapolis
Country :	USA
Event name :	22nd International Symposium on Mathematical Theory of Networks and Systems
Event date :	July 12-15
Keywords :	[en] synchronization of matrices ; graph theory ; spectral methods
Abstract :	[en] This paper addresses synchronization of invertible matrices over graphs. The matrices represent pairwise transformations between n euclidean coordinate systems. Synchronization means that composite transformations over loops are equal to the identity. Given a set of measured matrices that are not synchronized, the synchronization problem amounts to fining new synchronized matrices close to the former. Under the assumption that the measurement noise is zero mean Gaussian with known covariance, we introduce an iterative method based on linear subspace projection. The method is free of step size determination and tuning and numerical simulations show significant improvement of the solution compared to a recently proposed direct method as well as the Gauss-Newton method.
Funders :	Fonds National de la Recherche - FnR
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/28004
FnR project :	FnR ; FNR8864515 > Johan Thunberg > > Set Convergence in Nonlinear Multi-Agent Systems > 01/02/2015 > 31/01/2017 > 2014

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Open access MTNS16_0123_FI.pdf Author preprint 317.04 kB View/Open

All documents in ORBi^lu are protected by a user license.

 

University of Luxembourg Library |  Feedback |  Legal notices Site Map