Classical Physics

    

Automatic Differentiation in MATLAB

Authors: Kenneth C. Johnson

This document contains implementation notes for the MATLAB class "mpoly" (Multivariate Polynomial), which represents a numeric array (of any nonempty size, any number of dimensions) as a polynomial function (any degree) of a set of independent parameters (any number), or as a truncated Taylor series approximation. The class supports most standard array operations (algebra, indexing, etc.), employing automatic differentiation to calculate series coefficients of function outputs.

Comments: 30 Pages.

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[v1] 2025-10-01 19:33:29

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