Bob F. Caviness, George Ernest Collins
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.
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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.
Key concepts: Gaussian integer, Greatest common divisor, Division (mathematics), Integer (computer science), Euclidean algorithm, Gaussian, Divisor (algebraic geometry), Division algorithm