Bounds on positive integral solutions of linear Diophantine equations

Author:

Borosh I.,Treybig L. B.

Abstract

Assuming the existence of a solution, we find bounds for small solutions x x of the finite matrix equation A x = B Ax = B , where each entry of A , B A,B is an integer, and x x is a nontrivial column vector with nonnegative integer entries.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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