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A new algorithm for computing the multivariate Faà di Bruno's formula

29 December 2010
E. Nardo
G. Guarino
D. Senato
ArXiv (abs)PDFHTML
Abstract

A new algorithm for computing the multivariate Fa\`a di Bruno's formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa\`a di Bruno's formula into a suitable multinomial expansion. We propose a MAPLE procedure whose computational times are faster compared with the ones existing in the literature. Some illustrative applications are also provided.

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