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A Multiprocessor Architecture Using Modular Arithmetic for Very High Precision Computation

We outline a multiprocessor architecture that uses modular arithmetic to implement numerical computation with 900 bits of intermediate precision. A proposed prototype, to be implemented with off-the-shelf parts, will perform high-precision arithmetic as fast as some workstations and mini- computers can perform IEEE double-precision arithmetic. We discuss how the structure of modular arithmetic conveniently maps into a simple, pipelined multiprocessor architecture. We present techniques we developed to overcome a few classical drawbacks of modular arithmetic. Our architecture is suitable to and essential for the study of chaotic dynamical systems.

Identiferoai:union.ndltd.org:MIT/oai:dspace.mit.edu:1721.1/6021
Date01 April 1989
CreatorsWu, Henry M.
Source SetsM.I.T. Theses and Dissertation
Languageen_US
Detected LanguageEnglish
Format12 p., 2230694 bytes, 827297 bytes, application/postscript, application/pdf
RelationAIM-1119

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