@article{ferguson-bingham-erkok-harrison-hurd-dsm-2018,
  author = {Ferguson, Warren E. and Bingham, Jesse and {Erk\"{o}k}, Levent and Harrison, John R. and Leslie-Hurd, Joe},
  title = {Digit Serial Methods with Applications to Division and Square Root},
  journal = {IEEE Transactions on Computers},
  volume = 67,
  number = 3,
  pages = {449--456},
  month = mar,
  year = 2018,
  preprint = {http://arxiv.org/abs/1708.00140},
  doi = {http://doi.org/10.1109/TC.2017.2759764},
  url = {http://ieeexplore.ieee.org/document/8060979/},
  abstract =
{We present a generic digit serial method (DSM) to compute the digits
of a real number V. Bounds on these digits, and on the errors in the
associated estimates of V formed from these digits, are derived. To
illustrate our results, we derive bounds for a parameterized family of
high-radix algorithms for division and square root. These bounds
enable hardware designers to determine, for example, whether a given
choice of DSM parameters allows rapid formation and rounding of
approximations to V.}
}