节点文献
不定方程的整数解及Mathematica程序设计
The Integral Solutions of Indeterminate Equation and Mathematica Programming
【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.
【Abstract】 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;
【Key words】 indeterminate equation; integral solution; algorithm; Mathematica;
【Key words】 indeterminate equation; integral solution; algorithm; Mathematica;
【基金】 四川省教育厅青年基金项目(07ZB111)
- 【文献出处】 内江师范学院学报 ,Journal of Neijiang Normal University , 编辑部邮箱 ,2010年12期
- 【分类号】O122.2
- 【被引频次】3
- 【下载频次】527