A Software Package for Lie Algebraic Computations

DOI10.1137/S0036144502410427zbMath1084.17002OpenAlexW2027916967MaRDI QIDQ5713154

Miguel Torres-Torriti, Hannah Michalska

Publication date: 12 December 2005

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036144502410427

zbMATH Keywords

symbolic computationLie groupsdifferential equationsnonlinear filteringcomputer algebraLie algebrascontrol systemsCampbell-Baker-Hausdorff formulaWei-Norman equationsHall bases

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Filtering in stochastic control theory (93E11) Lie algebras of vector fields and related (super) algebras (17B66) Nonlinear ordinary differential equations and systems (34A34) Control problems involving ordinary differential equations (34H05) Dynamics induced by flows and semiflows (37C10) Nilpotent and solvable Lie groups (22E25) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04) Software, source code, etc. for problems pertaining to topological groups (22-04)

Related Items (4)

Efficient computation of the Zassenhaus formula ⋮ A geometric approach to feedback stabilization of nonlinear systems with drift ⋮ An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications ⋮ Growth of structure constants of free Lie algebras relative to Hall bases

Uses Software

• SYMMGRP
• LiE
• SYMMGRP.MAX

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