Algorithms for the Solution of Systems of Linear Diophantine Equations

@article{Chou1982AlgorithmsFT,
  title={Algorithms for the Solution of Systems of Linear Diophantine Equations},
  author={Tsu-Wu J. Chou and George E. Collins},
  journal={SIAM J. Comput.},
  year={1982},
  volume={11},
  pages={687-708}
}
Two algorithms for the solution of linear Diophantine systems, which well restrain intermediate expression swell, are presented. One is an extension and improvement of Kannan and Bachem’s algorithm for the Smith and the Hermite normal forms of a nonsingular square integral matrix. The complexity of this algorithm is investigated and a polynomial time bound is derived. Also a much better coefficient bound is obtained compared to Kannan and Bachem’s analysis. The other is based on ideas of Rosser… CONTINUE READING
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