苏州科技学院学报（自然科学版）2016，Vol.33Issue(3)：1-6,6.
线性丢番图方程组的通解
On the solution of a system of linear Diophantine equations
摘要
Abstract
The solution of a system of linear Diophantine equations has been studied with the algebraic approach. The author demonstrated the sufficient and necessary conditions for the solution existence of both homogeneous and non-ho-mogeneous systems of linear Diophantine equations. The existence of basic integer solutions for homogeneous systems of linear Diophantine equations was confirmed. General solutions of both homogeneous and non-homogeneous systems were also provided.关键词
线性丢番图方程组/可解性/整数解/整数矩阵Key words
systems of linear Diophatine equations/solubility/integer solution/integer matrix分类
数理科学引用本文复制引用
彭燕玲..线性丢番图方程组的通解[J].苏州科技学院学报（自然科学版）,2016,33(3):1-6,6.基金项目
国家自然科学基金资助项目（11271282）；国家留学归国人员基金资助项目 （）
