An Algorithm to Compute Averages on Matrix Lie Groups

DOI10.1109/TSP.2009.2027754zbMath1396.65094WikidataQ59294303 ScholiaQ59294303MaRDI QIDQ4570005

Toshihisa Tanaka, Simone Fiori

Publication date: 9 July 2018

Published in: IEEE Transactions on Signal Processing (Search for Journal in Brave)

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Numerical linear algebra (65F99)

Related Items (8)

Bi-Invariant Dissimilarity Measures for Sample Distributions in Lie Groups ⋮ Exact low-order polynomial expressions to compute the Kolmogoroff–Nagumo mean in the affine symplectic group of optical transference matrices ⋮ Robust Averaging of Covariances for EEG Recordings Classification in Motor Imagery Brain-Computer Interfaces ⋮ A Riemannian steepest descent approach over the inhomogeneous symplectic group: application to the averaging of linear optical systems ⋮ Kolmogoroff-Nagumo mean over the affine symplectic group of matrices ⋮ Averaging on manifolds by embedding algorithm ⋮ Nonlinear damped oscillators on Riemannian manifolds: numerical simulation ⋮ Riemannian \(L^p\) averaging on Lie group of nonzero quaternions

This page was built for publication: An Algorithm to Compute Averages on Matrix Lie Groups