Title
Efficient computation of the Zassenhaus formula.
Abstract
A new recursive procedure to compute the Zassenhaus formula up to high order is presented, providing each exponent in the factorization directly as a linear combination of independent commutators and thus containing the minimum number of terms. The recursion can be easily implemented in a symbolic algebra package and requires much less computational effort, both in time and memory resources, than previous algorithms. In addition, by bounding appropriately each term in the recursion, it is possible to get a larger convergence domain of the Zassenhaus formula when it is formulated in a Banach algebra.
Year
DOI
Venue
2012
10.1016/j.cpc.2012.06.006
Computer Physics Communications
Keywords
Field
DocType
Zassenhaus formula,Symbolic computation,Baker–Campbell–Hausdorff formula
Convergence (routing),Linear combination,Exponent,Algebra,Symbolic computation,Factorization,Recursion,Baker–Campbell–Hausdorff formula,Mathematics,Computation
Journal
Volume
Issue
ISSN
183
11
0010-4655
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Fernando Casas17418.30
A. Murua211025.21
Mladen Nadinic300.34