نتایج جستجو برای: LDSSBR
تعداد نتایج: 5 فیلتر نتایج به سال:
In this paper we are concerned with the practical performance of the LLL-based Hermite normal form algorithm, proposed by Havas [13] (LLLHMM) when applied to solve linear Diophantine systems. We first compare the efficiency of the LLLHMM with the algorithm, named LDSSBR, based on the Rosser’s idea. The numerical results show that for small problems, the bit length of the longest integer occurri...
A difficulty in solving linear Diophantine systems is the rapid growth of intermediate results. Rosser’s algorithm for solving a single linear Diophatine equation is an efficient algorithm that effectively controls the growth of intermediate results. Here, we propose an approach to generalize Rosser’s algorithm and present two algorithms for solving systems of linear Diophantine equations. Then...
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