Nuacht

JSTOR Daily8y

Solving a System of Linear Diophantine Equations with Lower and Upper Bounds on the Variables

This is a preview. Log in through your library . Abstract We develop an algorithm for solving a system of diophantine equations with lower and upper bounds on the variables. The algorithm is based on ...
IEEE16y

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 ...
Scientific Research Publishing15y

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 ...
Scientific Research Publishing15y

J. F. Romeuf, “A polynomial algorithm for solving systems of two linear Diophantine equations,” Theoretical Computer Science, Vol. 74, No. 3, pp. 329–340, 1990.

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 ...
JSTOR Daily6y

An Algorithm for Solving a Certain Class of Diophantine Equations. I

This is a preview. Log in through your library . Abstract A class of Diophantine equations is defined and an algorithm for solving each equation in this class is developed. The methods consist of ...
Popular Mechanics6y

After 65 Years, Supercomputers Finally Solve This Unsolvable Math Problem

For decades, a math puzzle has stumped the smartest mathematicians in the world. x 3 +y 3 +z 3 =k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as ...