synchronization of matrices; graph theory; spectral methods
Résumé :
[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.
Disciplines :
Mathématiques
Auteur, co-auteur :
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)
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
An Iterative Projection method for Synchronization of Invertible Matrices Over Graphs
Date de publication/diffusion :
2016
Nom de la manifestation :
22nd International Symposium on Mathematical Theory of Networks and Systems
Date de la manifestation :
July 12-15
Manifestation à portée :
International
Titre de l'ouvrage principal :
22nd International Symposium on Mathematical Theory of Networks and Systems
Peer reviewed :
Peer reviewed
Projet FnR :
FNR8864515 - Set Convergence In Nonlinear Multi-agent Systems, 2014 (01/02/2015-31/01/2017) - Johan Thunberg
