A stable quotient-difference algorithm-Reference-Cited by-同舟云学术

A stable quotient-difference algorithm

Published:1980 Issue:150 Volume:34 Page:515-519
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Stokes A. N.

Abstract

This paper shows how the arithmetic of the quotient-difference algorithm can be performed using the forward and backward difference tables of each column. This removes the tendency of the algorithm to amplify errors. As an application, 70 continued fraction coefficients are calculated for the modified Bessel function K 0 ( z ) {K_0}(z) in single-precision arithmetic. There is no significant build-up of error.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1980-34-150/S0025-5718-1980-0559199-4/S0025-5718-1980-0559199-4.pdf

Reference4 articles.

1. A continued fraction algorithm for the computation of higher transcendental functions in the complex plane;Gargantini, I.;Math. Comp.,1967

2. P. HENRICI, “The quotient-difference algorithm,” in Mathematical Methods for Digital Computers, Vol. 2 (A. Ralston & H. S. Wilf, Eds.), Wiley, New York, 1967.

3. Continued fractions which correspond to power series expansions at two points;McCabe, J. H.;J. Inst. Math. Appl.,1976

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