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 . 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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DOI:
https://doi.org/10.1090/S0025-5718-1987-0866124-1

Article copyright:
© Copyright 1987
American Mathematical Society