Finding the General Solution of a Linear Diophantine Equation

Authors

Susumu Morito
Harvey M. Salkin

Document Type

Report

Publication Date

9-1-1977

Abstract

A new procedure for finding the general solution of a linear diophantine equation is given. As a byproduct, the algorithm finds the greatest common divisor (gcd) of a set of integers. Related results and discussion concerning existing procedures, are also given.

Keywords

Operations research, Diophantine equations, Algorithms, Number theory

Publication Title

Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University

Issue

Technical memorandum no. 429

Rights

This work is in the public domain and may be freely downloaded for personal or academic use

Recommended Citation

Morito, Susumu and Salkin, Harvey M., "Finding the General Solution of a Linear Diophantine Equation" (1977). Research Reports from the Department of Operations. 207.
https://commons.case.edu/wsom-ops-reports/207