• Published 1994

E cient Rational Number Reconstruction

@inproceedings{Collins1994ECR,
  title={E cient Rational Number Reconstruction},
  author={George E. Collins and Mark J. Encarnaci},
  year={1994}
}
The paper presents an eecient algorithm for reconstructing a rational number from its residue modulo a given integer. The algorithm is based on a double-digit version of Lehmer's multi-precision extended Euclidean algorithm. While asymptotic complexity remains quadratic in the length of the input, experiments with an implementation show that for small inputs the new algorithm is more than 3 times faster than the algorithm in common use, and is more than 7 times faster for inputs that are 100… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-2 OF 2 REFERENCES

Improving the multiprecision Euclidean algorithm

  • Y. N. Lakshman
  • In Proc . DISCO ' 93 , LNCS
  • 1993