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How to Define Automatic Differentiation
Published 10 Mar 2020 in math.NA and cs.NA | (2003.04484v2)
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.
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