2014/10/14 by R. Aldrovandi, Aldrovandi, R.
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Numerical methods for differential equations #Quantum chaos and dynamical systems #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1410.3896
16 pages
arxiv created 2014/10/14 · openalex publication_date 2014/10/14 · arxiv updated 2014/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A matrix approach to continuous iteration is proposed for general formal series. It leads, in particular, to an ordertoorder iteration of the exponential function, and consequently to an algorithmic approach to tetration. Lowerorder approximations suggest that tetration may come to be of great interest for the description of involved dynamical systems.