TY - JOUR
T1 - The Limiting Case of Thiele's Interpolating Continued Fraction Expansion
AU - Tan , Jie-Qing
JO - Journal of Computational Mathematics
VL - 4
SP - 433
EP - 444
PY - 2001
DA - 2001/08
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8995.html
KW - Continued fraction, Inverse difference, Reciprocal difference, Expansion.
AB - <p style="text-align: justify;">By means of the determinantal formulae for inverse and reciprocal differences with coincident data points, the limiting case of Thiele&#39;s interpolating continued fraction expansion is studied in this paper and given numerical example shows that the limiting Thiele&#39;s continued fraction expansion can be determined once for all instead of carrying out computations for each step to obtain each convergent as done in [3].</p>