| Clifford连分式的值域与元素域 |
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| 引用本文： | 李永群,陈静. Clifford连分式的值域与元素域[J]. 黑龙江大学自然科学学报, 2008, 25(2): 178-182 |
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| 作者姓名： | 李永群 陈静 |
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| 作者单位： | 湖南大学数学与计量经济学院,长沙,410082;湖南科技大学数学与计算科学学院,湘潭,411201 |
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| 基金项目： | 国家自然科学基金 , 湖南省自然科学基金 , Program for the New Century Excellent Talents in University |
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| 摘 要： | 首先将复连分式的值域与元素域的概念推广到了Clifford连分式,得到了Clifford连分式值域与元素域的两条性质;其次构造出了一对满足条件的值域与元素域序列,并由所构造出来的值域与元素域的一个特殊形式,将复连分式的区域套定理推广到了Clifford连分式的更一般的情形;最后由Clifford连分式值域与元素域的性质和所构造出的一对满足条件的值域与元素域序列,得到了收敛的Clifford连分式.
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| 关 键 词： | Clifford连分式 Clifford矩阵 值域 元素域 |
| 文章编号： | 1001-7011(2008)02-0178-05 |
| 修稿时间： | 2007-03-06 |
Value regions and element regions of Clifford continued fractions |
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| Li Yongqun,Chen Jing. Value regions and element regions of Clifford continued fractions[J]. Journal of Natural Science of Heilongjiang University, 2008, 25(2): 178-182 |
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| Authors: | Li Yongqun Chen Jing |
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| Abstract: | Firstly, the concepts of value regions and element regions of complex continued fractionsare generalized to the case of Clifford continued fractions, and thereby two properties of Clifford continuedfractions are obtained. Secondly, a pair of the sequences of value regions and element regions are con-structed, and the nested region theorem in Clifford continued fractions is established by using the specialcase of the constructed sequences. In the end, some convergent Clifford continued fractions are obtainedby using the obtained properties and the constructed sequences about the Clifford continued fractions. |
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| Keywords: | Clifford continued fraction Clifford matrix value region element region |
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