Search Results - Euclid's algorithms· Analysis of algorithms· Average-case analysis

Probabilistic analyses of the plain multiple gcd algorithm by Berthé, Valérie, Lhote, Loïck, Vallée, Brigitte

“… is the number of inputs), with each of them being the Euclid algorithm on two entries. We present here a complete probabilistic analysis of this algorithm, by providing…”
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Gaussian Laws for the Main Parameters of the Euclid Algorithms by Lhote, Loïck, Vallée, Brigitte

“…We provide sharp estimates for the probabilistic behaviour of the main parameters of the Euclid Algorithms, both on polynomials and on integer numbers…”
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An average case efficient algorithm for solving two variable linear diophantine equations by Deora, Mayank, Pal, Pinakpani

“… Extended euclid's algorithm is the most widely used algorithm to solve these equations. We revisit two algorithms to solve two variable linear diophantine equations…”
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