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
fDate :
10/1/1991 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
