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| 关于Thiele型向量值连分式收敛定理的一个注记 | |
| 引用本文： | 赵欢喜,朱功勤,肖萍.关于Thiele型向量值连分式收敛定理的一个注记[J].数学研究及应用,2004,24(2):328-332. |
| 作者姓名： | 赵欢喜 朱功勤 肖萍 |
| 作者单位： | 1. 中南大学数学院,湖南,长沙,410083;中国科技大学数学系,安徽,合肥,230026 2. 合肥工业大学理学院,安徽,合肥,230009 3. 中南大学数学院,湖南,长沙,410083 |
| 基金项目： | 国家自然科学基金资助(10171026) |
| 摘 要： | 本文利用推广的向量连分式向后递推算法重新给出了文3]中定理1的证明,并改进了其结果。最后,在稍强的条件下,给出了这一类收敛向量连分式的一个更精致的截断误差估计。 |
| 关 键 词： | 向量值连分式 古典向后递推算法 收敛定理 截断误差估计 |
| 文章编号： | 1000-341X(2004)02-0328-05 |
| 收稿时间： | 2001/11/26 0:00:00 |
| 修稿时间： | 2001年11月26 |
A Note on Convergence Theorem for Thiele-Type Vector Valued Continued Fractions |
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| ZHAO Huan-Xi,ZHU Gong-qin and XIAO Ping.A Note on Convergence Theorem for Thiele-Type Vector Valued Continued Fractions[J].Journal of Mathematical Research with Applications,2004,24(2):328-332. | |
| Authors: | ZHAO Huan-Xi ZHU Gong-qin and XIAO Ping |
| Institution: | School of Mathematics; Central-South University; Changsha; China;Dept. of Math.; University of Science &. Technology of China; Hefei; China;School of Science; Hefei University of Technology; Anhui; China;School of Mathematics; Central-South University; Changsha; China |
| Abstract: | We improve the proof and results of Theorem 1 in 3] by means of the modified classical backward algorithm which is a generalization of the scalar case. We give also a more refined truncation error bound for this class of vector continued fractions under a slightly stronger condition. |
| Keywords: | vector valued continued fractions classical backward recurrence relation convergence theorem truncation error estimation |
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