Euclid's algorithm is an ancient and efficient method for finding the GCD of two numbers. The algorithm is based on the observation that the GCD of two numbers does not change if the smaller number is ...
The Lehmer GCD algorithm is particularly efficient for very large integers, using matrix operations to reduce the problem size while maintaining mathematical correctness. For smaller numbers (less ...
College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, China. Department of Mathematics, Shanghai University, Shanghai, China. The task of determining ...
Abstract: In our paper we investigate the k-ary Algorithm for finding GCD of long natural numbers. We suggest an effective modification for the Algorithm which gives an essential acceleration for the ...
Abstract: The Affine partitioning framework unifies many useful program transforms such as unimodular transformations, loop fusion, fission, scaling, reindexing, and statement reordering. The affine ...
ABSTRACT: The task of determining the greatest common divisors (GCD) for several polynomials which arises in image compression, computer algebra and speech encoding can be formulated as a low rank ...