on solving linear diophantine systems using generalized rosser's algorithm
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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
Polyhedral Omega is a new algorithm for solving linear Diophantine systems (LDS), i.e., for computing a multivariate rational function representation of the set of all non-negative integer solutions to a system of linear equations and inequalities. Polyhedral Omega combines metho
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