Kolmogoroff-Nagumo mean over the affine symplectic group of matrices

DOI10.1016/j.amc.2015.05.063zbMath1410.22003OpenAlexW914166448MaRDI QIDQ669422

Simone Fiori

Publication date: 15 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.063

zbMATH Keywords

Hamiltonian matricesaffine symplectic groupHarris exponential-mean-logKolmogoroff-Nagumo mean

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20) Local Lie groups (22E05)

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Cites Work

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• A structure preserving approximation method for Hamiltonian exponential matrices
• Stochastic models, information theory, and Lie groups. Volume I: Classical results and geometric methods
• On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom
• Solving Minimal-Distance Problems over the Manifold of Real-Symplectic Matrices
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Riemannian center of mass and mollifier smoothing
• An Algorithm to Compute Averages on Matrix Lie Groups
• Empirical Arithmetic Averaging Over the Compact Stiefel Manifold
• Naive Lie Theory
• A formula for the exponential of a real skew-symmetric matrix of order 4

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