'Classical' convergence theorems for generalized continued fractions

被引：0
|
作者：
de Bruin, Marcel G. [1 ]
机构：
[1] Delft Inst Appl Math, NL-2600 GA Delft, Netherlands
来源：
NUMERICAL ALGORITHMS | 2007年 / 44卷 / 04期
关键词：
generalized continued fractions; Jacobi-Perron algorithm; recurrence relations; linear fractional transformations; convergence;
D O I：
10.1007/s11075-007-9115-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the classical convergence theorems by Sleszynaski-Pringsheim, Worpitzky and Van Vleck for ordinary continued fractions will be generalized to continued fractions generalizations (along the lines of the Jacobi-Perron algorithm) with four-term recurrence relations.
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页码：367 / 380
页数：14
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