New Trends in Practical Algorithms

New Trends in Practical Algorithms

Some Computational and Approximation Aspects

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Numerous tasks in Computer Science lead to computation of greatest common divisor. In this book the focus is on optimization of known realizations based on Knuth's ideas. We make attempts to minimize the number of assignments and the number of comparisons. These algorithms are commented and cited in every book of algorithms. The new insight in novel algorithms' realization presented in this book is that we unite the two iteration steps into one with aim to receive solutions for shorter CPU time and our approach become in the style of Anatoly Karatsuba's "divide and conquer" algorithmic techniq...