A Note on Convergence Theorem for Thiele-Type Vector Valued Continued Fractions
Received:November 26, 2001  
Key Words: vector valued continued fractions   classical backward recurrence relation   convergence theorem   truncation error estimation  
Fund Project:
Author NameAffiliation
ZHAO Huan-Xi School of Mathematics
Central-South University
Changsha
China
Dept. of Math.
University of Science &. Technology of China
Hefei
China 
ZHU Gong-qin School of Science
Hefei University of Technology
Anhui
China 
XIAO Ping School of Mathematics
Central-South University
Changsha
China 
Hits: 2234
Download times: 961
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.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.02.023
View Full Text  View/Add Comment