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On the parallel generation of the residues for the continued fraction factoring algorithm

Authors: H. C. Williams and M. C. Wunderlich
Journal: Math. Comp. 48 (1987), 405-423
MSC: Primary 11Y05
MathSciNet review: 866124
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Abstract: In order to implement the continued fraction algorithm on a highly parallel computer, like the Massively Parallel Processor, it is necessary to be able to compute certain numbers which occur at widely-spaced intervals within the continued fraction expansion of $ \sqrt N $. where N is the number to be factored. In this paper several properties of the continued fraction expansion of a quadratic irrational are developed. These results are then applied to the development of a very simple algorithm for finding the widely-spaced numbers referred to above.

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Article copyright: © Copyright 1987 American Mathematical Society