Parametric Solutions of System of Linear Diophantine Equations by Crushing Method
Asian Research Journal of Mathematics,
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.
- Diophantine equations
- parametric solutions
How to Cite
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