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How to Define Automatic Differentiation

Numerical Analysis 2020-06-16 v2 Numerical Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.2003.04484,
  title  = {How to Define Automatic Differentiation},
  author = {Keqin Liu},
  journal= {arXiv preprint arXiv:2003.04484},
  year   = {2020}
}

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23 pages