Necessary and Sufficient Conditions for Convergence of Vector Continued Fractions with Positive Elements
Received:November 12, 2001  
Key Words: vector valued continued fractions   convergence   truncation error estimation.  
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Author NameAffiliation
XIAO Ping School of Mathematics
Central South University
Changsha
China 
ZHAO Huan-xi Dept. of Math.
University of Science & Technology of China
Hefei
China 
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Abstract:
      Vector valued continued fractions of the formare considered, where bn= (bn1,bn2,…,bnd) satisfy Samelson inverse and an, bn1,bn2,…,bnd are positive. A few necessary and sufficient conditions for the convergence of (#) are obtained. Moreover, a truncation error estimation is given.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.04.021
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