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2 October 1998 Fast evaluation of functions at regularly-spaced points
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Abstract
We present a method, called the value-preserving (VP) method for reducing the amount of work when computing the value of a function at regularly spaced points. The VP method uses the fact that if two argument values x and y have p common digits, then the values f(x) and f(y) computed with an on-line algorithm of delay (delta) have at least p-(delta) common digits. We discuss evaluation of polynomials using the VP method and compare its performance with several traditional techniques.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Milos D. Ercegovac and Jean-Michel Muller "Fast evaluation of functions at regularly-spaced points", Proc. SPIE 3461, Advanced Signal Processing Algorithms, Architectures, and Implementations VIII, (2 October 1998); https://doi.org/10.1117/12.325714
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