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See Section 2.7.6 in How to Use the NAG Library and its Documentation for further information.
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See Section 2.7.5 in How to Use the NAG Library and its Documentation for further information.
Evaluation at or near a pole.
A running error analysis for polynomial evaluation by nested multiplication using the recurrence suggested by Kahan (see Peters and Wilkinson (1971)) is used to detect whether you are attempting to evaluate the approximant at or near a pole.
Parallelism and Performance
nag_1d_pade_eval (e02rbc) is not threaded in any implementation.
The time taken is approximately proportional to .
This example first calls nag_1d_pade (e02rac) to calculate the Padé approximant to , and then uses nag_1d_pade_eval (e02rbc) to evaluate the approximant at .