An algorithm for exact evaluation of multivariate functions and their derivatives to any order

Anthony S. Wexler

doi:10.1016/0167-9473(88)90058-8

An algorithm for exact evaluation of multivariate functions and their derivatives to any order

Anthony S. Wexler

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A method is presented for automatically computing the exact value of all the partial derivatives up to any order of functions of several variables. The method uses principals developed previously for calculating first order derivatives but extends them with the principal of recursion to enable the calculation of higher order derivatives.

Original language	English (US)
Pages (from-to)	1-6
Number of pages	6
Journal	Computational Statistics and Data Analysis
Volume	6
Issue number	1
DOIs	https://doi.org/10.1016/0167-9473(88)90058-8
State	Published - 1988
Externally published	Yes

Keywords

Data structures.
Numerical differentiation

ASJC Scopus subject areas

Computational Theory and Mathematics
Statistics, Probability and Uncertainty
Electrical and Electronic Engineering
Computational Mathematics
Numerical Analysis
Statistics and Probability

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10.1016/0167-9473(88)90058-8

Cite this

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abstract = "A method is presented for automatically computing the exact value of all the partial derivatives up to any order of functions of several variables. The method uses principals developed previously for calculating first order derivatives but extends them with the principal of recursion to enable the calculation of higher order derivatives.",

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year = "1988",

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AU - Wexler, Anthony S.

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AB - A method is presented for automatically computing the exact value of all the partial derivatives up to any order of functions of several variables. The method uses principals developed previously for calculating first order derivatives but extends them with the principal of recursion to enable the calculation of higher order derivatives.

KW - Data structures.

KW - Numerical differentiation

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JO - Computational Statistics and Data Analysis

JF - Computational Statistics and Data Analysis

SN - 0167-9473

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An algorithm for exact evaluation of multivariate functions and their derivatives to any order

Abstract

Keywords

ASJC Scopus subject areas

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