2020/03/10 by Keqin Liu, Liu, Keqin
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Numerical Analysis (math.NA) #Polynomial and algebraic computation #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.2003.04484
23 pages
openalex publication_date 2020/03/10 · arxiv created 2020/06/14 · arxiv updated 2020/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based on a class of associative algebras with zero-divisors which are called real-like algebras by us, we introduce a way of defining automatic differentiation and present different ways of doing automatic differentiation to compute the first, the second and the third derivatives of a function exactly and simultaneously.