Convergence of two-dimensional continued fractions with complex elements

被引:0
作者
Sus O.M.
机构
关键词
Absolute Error; Simple Computation; Naukova Dumka; Continue Fraction; Complex Element;
D O I
10.1007/BF02433972
中图分类号
学科分类号
摘要
We prove an analog of Vorpits 'kii's theorem for two-dimensional continued fractions, applying the formulas for computing their absolute error. ©1998 Plenum Publishing Corporation.
引用
收藏
页码:2385 / 2392
页数:7
相关论文
共 5 条
  • [1] Bodnar D.I., Branched Continued Fractions, (1986)
  • [2] Bodnar D.I., Waadeland H., Kuchmins'ka K.I., Sus O.M., On the stability of branched continued fractions, Mat. Met. Fiz.-Mekh. Polya, 37, pp. 3-7, (1994)
  • [3] Bodnar D.I., Kuchminskaya Kh.I., On the convergence of the expansion of a function of two variables into a corresponding branched continued fraction, Mat. Met. Fiz.-Mekh. Polya, 11, pp. 3-6, (1980)
  • [4] Jones W., Thron W., Continued Fractions, (1980)
  • [5] Lorentzen L., Waadeland H., Continued Fractions with Applications, (1992)