Polynomial evaluation revisited
Communications of the ACM
Evaluation of polynomials by computer
Communications of the ACM
Software for Roundoff Analysis
ACM Transactions on Mathematical Software (TOMS)
Provably faithful evaluation of polynomials
Proceedings of the 2006 ACM symposium on Applied computing
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The method of nested multiplication is commonly used in function evaluation routines to evaluate approximation polynomials. New polynomial evaluation methods have been developed in recent years which require fewer multiplications than nested multiplication and may therefore be preferable for use in function evaluation routines. Although some of these methods do not appear to be practically useful because of rounding-error difficulties, several methods of evaluating low-degree polynomials have been found to be satisfactory. Three such methods are described and illustrated.