The Limiting Case of Thiele's Interpolating Continued Fraction Expansion

The Limiting Case of Thiele's Interpolating Continued Fraction Expansion

Year:    2001

Author:    Jie-Qing Tan

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 433–444

Abstract

By means of the determinantal formulae for inverse and reciprocal differences with coincident data points, the limiting case of Thiele's interpolating continued fraction expansion is studied in this paper and given numerical example shows that the limiting Thiele'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].

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-8995

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 433–444

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Continued fraction Inverse difference Reciprocal difference Expansion.

Author Details

Jie-Qing Tan