Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups

DOI10.1090/S0025-5718-03-01602-8zbMath1033.22002OpenAlexW2063114468WikidataQ115284345 ScholiaQ115284345MaRDI QIDQ4452160

Antonella Zanna

Publication date: 12 February 2004

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01602-8

zbMATH Keywords

Lie grouppolar decompositionCartan decomposition

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Numerical methods for ordinary differential equations (65L99) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (4)

Exponential polar factorization of the fundamental matrix of linear differential systems ⋮ Symmetric spaces and Lie triple systems in numerical analysis of differential equations ⋮ Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion ⋮ A method for approximation of the exponential map in semidirect product of matrix Lie groups and some applications

Cites Work

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• Recursion formulas for the Lie integral
• On the discretization of double-bracket flows
• Generalized Polar Decompositions for the Approximation of the Matrix Exponential
• On the solution of linear differential equations in Lie groups
• Numerical Integrators that Preserve Symmetries and Reversing Symmetries
• Approximately preserving symmetries in the numerical integration of ordinary differential equations
• Magnus and Fer expansions for matrix differential equations: the convergence problem
• Efficient Computation of the Matrix Exponential by Generalized Polar Decompositions
• On the exponential solution of differential equations for a linear operator
• Generalized polar decompositions on Lie groups with involutive automorphisms

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