Exact low-order polynomial expressions to compute the Kolmogoroff–Nagumo mean in the affine symplectic group of optical transference matrices

DOI10.1080/03081087.2016.1209732zbMath1362.15003OpenAlexW2490466626MaRDI QIDQ2979465

Stilian Prifti, Simone Fiori

Publication date: 25 April 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1209732

zbMATH Keywords

matrix functionsKolmogoroff-Nagumo meanaffine symplectic group of matricesexact low-order polynomial representationoptical transference matrices

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Means (26E60) Matrix exponential and similar functions of matrices (15A16)

Related Items (1)

Sympnets: intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems

Cites Work

• Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms
• Computation of functions of Hamiltonian and skew-symmetric matrices
• One step semi-explicit methods based on the Cayley transform for solving isospectral flows
• An SVD-like matrix decomposition and its applications
• Explicit factorization of the Vandermonde matrix
• On the semigroup of standard symplectic matrices and its applications
• Newton-type methods for solving nonlinear equations on quadratic matrix groups
• The resolvent average for positive semidefinite matrices
• Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• An Algorithm to Compute Averages on Matrix Lie Groups

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