Parametric Solutions of System of Linear Diophantine Equations by Crushing Method
P. Anuradha Kameswari, Aweke Belay
Asian Research Journal of Mathematics · pp. 48–56 · Published 10 Nov 2021
10.9734/arjom/2021/v17i930330Abstract
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.
Cited by 1
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