Improved parallel polynomial division and its extensions

  title={Improved parallel polynomial division and its extensions},
  author={Dario Bini and Victor Y. Pan},
  journal={Proceedings., 33rd Annual Symposium on Foundations of Computer Science},
  • Dario Bini, V. Pan
  • Published 24 October 1992
  • Computer Science
  • Proceedings., 33rd Annual Symposium on Foundations of Computer Science
The authors compute the first N coefficients of the reciprocal r(x) of a given polynomial p(x), (r(x)p(x)=1 mod x/sup N/, p(0) not=0), by using, under the PRAM arithmetic models, O(h log N) time-steps and O((N/h)(1+2/sup -h/log/sup (h)/ N)) processors, for any h, h=1,2, . . .,log/sup */ N, provided that O(logm) steps and m processors suffice to perform DFT on m points and that log/sup (0)/ N=N, log/sup (h)/ N=log/sub 2/log/sup (h-1)/N, h=1, . . .,log/sup */N, log/sup */N=max(h:log/sup (h)/N>0… 
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