Fast evaluation of functions at regularly-spaced points

Milos D. Ercegovac; Jean-Michel Muller

doi:10.1117/12.325714

2 October 1998 Fast evaluation of functions at regularly-spaced points

Proceedings Volume 3461, Advanced Signal Processing Algorithms, Architectures, and Implementations VIII; (1998) https://doi.org/10.1117/12.325714
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

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.

Citation Download Citation

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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