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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Evaluation of multivariate polynomials and their derivatives


Authors: J. Carnicer and M. Gasca
Journal: Math. Comp. 54 (1990), 231-243
MSC: Primary 12-04; Secondary 68Q20, 68Q40, 68R10
MathSciNet review: 993925
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Abstract: An extension of Horner's algorithm to the evaluation of m-variate polynomials and their derivatives is obtained. The schemes of computation are represented by trees because this type of graph describes exactly in which order the computations must be done. Some examples of algorithms for one and two variables are given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1990-0993925-1
PII: S 0025-5718(1990)0993925-1
Keywords: Evaluation, multivariate polynomials, derivatives
Article copyright: © Copyright 1990 American Mathematical Society