IEEE

On Computing Solutions of Linear Diophantine Equations with One Non-linear Parameter

Abstract: We present an algorithm for solving Diophantine equations which are linear in the variables, but non-linear in one parameter. We are looking for the pointwise solutions, i.e., the solutions ...
GitHub

# Diophantine linear equation solver

This program can solve [Diophantine linear equations](https://brilliant.org/wiki/linear-diophantine-equations-one-equation/). $$\alpha_1 \cdot x_1 + \alpha_2 \cdot x ...
IEEE

Solving Linear Diophantine Constraints Incrementally

Abstract: In this paper, we show how to handle linear Diophantine constraints incrementally by using several variations of the algorithm by Contejean and Devie ...
Europe PMC

On Using Linear Diophantine Equations for in-Parallel Hiding of Decision Tree Rules.

We propose a look ahead technique using linear Diophantine equations to add the appropriate number of instances while maintaining the initial entropy of the nodes. This method can be used to hide one ...
Scientific Research Publishing

S. L. Kryviy, “Methods of solution and criteria of compatibility of systems of linear Diophantine equations over the set of natural numbers,” Cybernetics and Systems ...

ABSTRACT: The decomposition technique for linear system solution is proposed. This technique may be combined with any known method of linear system solution. An essential acceleration of computations ...
Scientific Research Publishing

E. Contejan and F. Ajili, “Avoiding slack variables in solving linear Diophantine equations and inequations,” Theoretical Computer Science, Vol. 173, pp. 183–208, 1997.

ABSTRACT: The decomposition technique for linear system solution is proposed. This technique may be combined with any known method of linear system solution. An essential acceleration of computations ...