不定方程的整数解及Mathematica程序设计  

The Integral Solutions of Indeterminate Equation and Mathematica Programming

作　　者：何光[1] 

机构地区：[1]内江师范学院数学与信息科学学院四川省高等学校数值仿真重点实验室,四川内江641100

出　　处：《内江师范学院学报》2010年第12期24-26,29,共4页Journal of Neijiang Normal University

基　　金：四川省教育厅青年基金项目(07ZB111)

摘　　要：在分析一次不定方程整数解结构的基础上,运用Mathematica软件编写了相应的求解程序.在算法分析中,首先结合连分数的思想对二元一次不定方程的整数解结构进行了讨论,然后将其结论推广到了n元的情形;最后在实例中验证了程序的可行性.Based on the analysis of the integral solution structure of indeterminate equation of the first degree,the correspondent solver program was written by use of Mathematica software.While analyzing algorithm,firstly the integral solution structure of dualistic simple indeterminate equation was put under discussion in combination of the throught of continued fraction;Then,the conclusion was popularized to handle linear indefinite equation of n unknowns;and finally through specific examples,the program feasibility was verified.

关 键 词：不定方程 整数解 算法 MATHEMATICA 

分 类 号：O122.1[理学—数学]