Efficient Implementation of Baker-Campbell-Hausdorff Formula
Cupjin Huang
TL;DR
This paper introduces a computationally efficient method for applying the Baker-Campbell-Hausdorff formula to find the logarithm of the product of two non-commutative Lie group elements using Lie algebra terms.
Contribution
It provides a novel, optimized implementation of the BCH formula specifically tailored for Lie algebra calculations.
Findings
Reduced computational complexity in BCH calculations
Enhanced accuracy in Lie group logarithm computations
Applicable to non-commutative Lie groups
Abstract
This short paper presents an efficient implementation of Baker-Campbell-Hausdorff formula for calculating the logarithm of product of two possibly non-commutative Lie group elements using only Lie algebra terms.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Topics in Algebra · Matrix Theory and Algorithms