Algorithms for Gaussian integer arithmetic

  • Authors:
  • B. F. Caviness;G. E. Collins

  • Affiliations:
  • -;-

  • Venue:
  • SYMSAC '76 Proceedings of the third ACM symposium on Symbolic and algebraic computation
  • Year:
  • 1976

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Abstract

In this paper new algorithms are given for Gaussian integer division and the calculation of the greatest common divisor of two Gaussian integers. Empirical tests show that the new gcd algorithm is up to 5.39 times as fast as a Euclidean algorithm using the new division algorithm.