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Fast evaluation and interpolation at the Chebyshev sets of points

✍ Scribed by Victor Pan

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 279 KB
Volume: 2
Category: Article
ISSN: 0893-9659
DOI: 10.1016/0893-9659(89)90064-5

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✦ Synopsis

Stable polynomial evaluation and interpolation at n Chebyshev or adjusted (expanded) Chebyshev points is performed using O(nlog' n) arithmetic operations, to be compared with customary algorithms either using on the order of n* operations or being unstable. We also evaluate a polynomial of degree d at the sets of n Chebyshev or adjusted (expanded) Chebyshev points using O(dlog d log n) if n 5 d or O((d log d + n) log d) arithmetic operations ifn>d.

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