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See Section 3.6.6 in the Essential Introduction for further information.
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See Section 3.6.5 in the Essential Introduction 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.
8 Parallelism and Performance
9 Further Comments
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 .