DocumentCode
1555735
Title
On the use of ρ-algorithm in series acceleration
Author
Singh, Surendra ; Singh, Ritu
Author_Institution
Dept. of Electr. Eng., Tulsa Univ., OK, USA
Volume
39
Issue
10
fYear
1991
fDate
10/1/1991 12:00:00 AM
Firstpage
1514
Lastpage
1517
Abstract
The ρ-algorithm, a nonlinear transformation, is shown to be applicable to monotonic series. The results of applying the algorithm to a series involving the zeroth-order Hankel function of the second kind and its associated Fourier transform are given. It is shown that the algorithm performs better than the ε-algorithm derived from Shanks´ transform (1955). Numerical results include a relative error measure versus number of terms taken in the series
Keywords
convergence of numerical methods; numerical analysis; series (mathematics); ρ-algorithm; Fourier transform; convergence; monotonic series; nonlinear transformation; zeroth-order Hankel function; Acceleration; Convergence of numerical methods; Out of order; Roundoff errors;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/8.97383
Filename
97383
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