Performance analysis of the computation of the Taylor series coefficients as performed in TADIFF
Performance analysis of the computation of the Taylor series coefficients as performed in TADIFF
A detailed rounding errors analysis for the computation of Taylor expansion coefficients of an analytic real function with respect to one variable, as implemented by TADIFF, a software package written in C++ specialized for computing Taylor expansion coefficients using Algorithmic Differentiation, is performed. The error analysis is carried out in a finite precision arithmetic system satisfying the IEEE standard 754. Furthermore, time and space complexity of such a computation is discussed. Experimental results aimed to validate both the accuracy and the complexity estimates are presented.
Taylor expansion coefficients, Algorithmic Differentiation, Algorithmic Differentiation; Taylor expansion coefficients; TADIFF, TADIFF
Taylor expansion coefficients, Algorithmic Differentiation, Algorithmic Differentiation; Taylor expansion coefficients; TADIFF, TADIFF
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