Efficient evaluation of polynomial forms
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摘要
The evaluation of several polynomial forms is considered. New algorithms for the evaluation of a polynomial and its derivative, a polynomial at two points, a polynomial of high degree using multiple precision arithmetic, and a bivariate polynomial of the form Σa(i) xiyn−i are presented. Various “coefficient splitting techniques” are introduced in these algorithms and the optimality of certain techniques is shown.
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论文评审过程:Received 23 April 1972, Available online 27 December 2007.
论文官网地址:https://doi.org/10.1016/S0022-0000(72)80033-3