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Preprint . 2016
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https://dx.doi.org/10.48550/ar...
Article . 2016
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Toom-Cook Multiplication: Some Theoretical and Practical Aspects

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2016Embargo end date: 01 Jan 2016Publisher:arXivJournal:CoRR, volume abs/1602.02740
Authors: M. J. Kronenburg;

doi: 10.48550/arxiv.1602.02740

arXiv: 1602.02740

Toom-Cook Multiplication: Some Theoretical and Practical Aspects

Abstract

Toom-Cook multiprecision multiplication is a well-known multiprecision multiplication method, which can make use of multiprocessor systems. In this paper the Toom-Cook complexity is derived, some explicit proofs of the Toom-Cook interpolation method are given, the even-odd method for interpolation is explained, and certain aspects of a 32-bit C++ and assembler implementation, which is in development, are discussed. A performance graph of this implementation is provided. The Toom-Cook method can also be used to multithread other types of multiplication, which is demonstrated for 32-bit GMP FFT multiplication.

Keywords

FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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