基于Mathematica的变量带有上下界的丢番图方程组的简单实现  

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

作　　者：施元馨[1] 杨扬[1] 姜英姿[1] 

机构地区：[1]徐州工程学院数学与物理科学学院,江苏徐州221008

出　　处：《徐州教育学院学报》2008年第3期199-201,共3页Journal of Xuzhou Education College

基　　金：徐州工程学院校科研项目(XKY200620);徐州工程学院大学生实践创新训练项目(200703)

摘　　要：K.Aardal等人给出了一种求解变量有上下界的丢番图方程组的算法。文章利用Mathematica这门编程语言就可将该算法简单地实现。文中进行了相关的数值实验,说明了用Mathematica这门编程语言来求解变量有上下界的丢番图方程组的可行性和有效性。K. Aardal et. al. develop an algorithm for solving a system of linear diophantine equations with lower and upper bounds on the variables in [ 1 ]. We can easily complete the algorithm using the Mathematica programming language. Numerical tests have been done and the results show that solving a system of linear diophantine equations with lower and upper bounds on the variables using the Mathematica programming language is possible and efficient.

关 键 词：线性丢番图方程组 Mathematica编程语言 

分 类 号：O29[理学—应用数学]