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Parametric Solutions of System of Linear Diophantine Equations by Crushing Method

  • P. Anuradha Kameswari
  • Aweke Belay

Asian Research Journal of Mathematics, Page 48-56
DOI: 10.9734/arjom/2021/v17i930330
Published: 10 November 2021

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Abstract


There are studies on parametric solutions of system of Linear Diophantine equations based on uni-modular reductions of the coefficient matrix. In this paper we generate parametric solutions, with uni-modular row reductions on the coefficient matrix, based on the steps used in obtaining gcd of the coefficients in a row by crushing method. This application of gcd by crushing specifies an order for the row reductions and enables to give algorithm for the computations.


Keywords:
  • Diophantine equations
  • parametric solutions
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How to Cite

Kameswari, P. A., & Belay, A. (2021). Parametric Solutions of System of Linear Diophantine Equations by Crushing Method. Asian Research Journal of Mathematics, 17(9), 48-56. https://doi.org/10.9734/arjom/2021/v17i930330
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References

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