«ldssbr»

on solving linear diophantine systems using generalized rosser's algorithm

on solving linear diophantine systems using generalized rosser's algorithm

On Solving Linear Diophantine Systems Using Generalized Rosser's Algorithm

Numerical Experiments with the LLL-Based Hermite Normal Form Algorithm for Solving Linear Diophantine Systems

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

On Solving Linear Diophantine Systems Using Generalized Rosser’s Algorithm

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