摘要
纯循环连分数的收敛性是一个很复杂的问题,实二次无理数的无限简单连分数一定可以表为一个循环连分数,循环连分数一定收敛于一个实二次无理数.但对于一般的循环连分数,无法计算出这个收敛值.这里介绍一种使用特征方程的方法,来计算一类特殊的纯循环连分数的收敛值,针对这类特殊的纯循环连分数的收敛性做了一个定量的结论.
Unlimited simple continued fraction of real two times irrational number must written as a circular continued fraction, on the other hand , a circular continued fraction must converge on a real two times irrational number. But for a circular continued fraction , we can not compute the value of eonstringency. This paper introduce a kind of method that uses its characteristic equation to compute the value of constringency of a special kind of pure continued fraction.
出处
《凯里学院学报》
2012年第3期1-2,共2页
Journal of Kaili University
基金
贵州省科技厅科学技术基金项目(编号:黔科合J字[2011]2218号)
凯里学院院级规划重点课题(编号:Z1102)
凯里学院重点学科建设项目(编号:KZD2009001)
关键词
纯循环连分数
特征方程
收敛值
实二次无理数
pure continued fraction
characteristic equation value of constringency real two times irrational numbe
