| 一类特殊的纯循环连分数的收敛性判定 |
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| 引用本文： | 邓从政. 一类特殊的纯循环连分数的收敛性判定[J]. 凯里学院学报, 2012, 30(3): 1-2 |
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| 作者姓名： | 邓从政 |
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| 作者单位： | 凯里学院数学科学学院,贵州凯里,556011 |
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| 基金项目： | 贵州省科技厅科学技术基金，凯里学院院级规划重点课题，凯里学院重点学科建设项目 |
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| 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.
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| 关 键 词： | 纯循环连分数 特征方程 收敛值 实二次无理数 |
The Value of Constringency of a Special Kind of Pure Continued Fraction |
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| DENG Cong-zheng. The Value of Constringency of a Special Kind of Pure Continued Fraction[J]. Journal of Southeast Guizhou National Teachers College, 2012, 30(3): 1-2 |
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| Authors: | DENG Cong-zheng |
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| Affiliation: | DENG Cong-zheng(School of Mathematical Sciences,Kaili University,Kaili,Guizhou,556011,China) |
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| Abstract: | 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 constringency.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. |
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| Keywords: | pure continued fraction characteristic equation value of constringency real two times irrational numbe |
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