论文标题

一种用于计算Baker-Campbell-Hausdorff系列的简单有效算法

A simple and efficient algorithm for computing the Baker-Campbell-Hausdorff series

论文作者

Hofstätter, Harald

论文摘要

提出了一种用于计算Baker-campbell-Hausdorff系列的新算法,可以在任何通用的编程语言或计算机代数系统中直接实现。该算法避免了有理算术,并在纯整数算术中执行所有计算,从而实现了非常有效的实现。可以使用朱莉娅编程语言的实现。

A new algorithm for computing coefficients of the Baker--Campbell--Hausdorff series is presented, which can be straightforwardly implemented in any general-purpose programming language or computer algebra system. The algorithm avoids rational arithmetic and performs all its calculations in pure integer arithmetic, allowing for a very efficient implementation. An implementation in the Julia programming language is available.

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