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A combinatorial approach to the generalized Baker–Campbell–Hausdorff–Dynkin formula

✍ Scribed by Leonardo Saenz; Rodolfo Suarez


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
166 KB
Volume
45
Category
Article
ISSN
0167-6911

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✦ Synopsis


The aim of this paper is to obtain an explicit expression, instead of using a recursive method, for the nth term coe cient of the generalized Baker-Campbell-Hausdor -Dynkin (gBCHD) formula. The gBCHD formula has been applied to control theory, specially to nonholonomic motion planning.


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✍ Ignacy Dulȩba 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 141 KB

In this paper a computationally simple form of the generalized Campbell-Baker-Hausdor -Dynkin formula (GCBHD) is given. Simpliÿcations arise from both combinatorial (explicit) as well as algorithmic (implicit) arguments. On generating the Ph. Hall basis in a special form, and introducing a speciÿc s