ON THE USE OF RHO-ALGORITHM IN SERIES ACCELERATION

被引:18
作者
SINGH, S
SINGH, R
机构
[1] Department of Electrical Engineering, University of Tulsa, Tulsa
关键词
D O I
10.1109/8.97383
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The rho-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 epsilon-algorithm derived from Shanks' transform. Numerical results include a relative error measure versus number of terms taken in the series.
引用
收藏
页码:1514 / 1517
页数:4
相关论文
共 9 条
[1]  
[Anonymous], 1955, J MATH PHYS, DOI [DOI 10.1080/00207167308803075, DOI 10.1002/SAPM19553411]
[2]   OBLIQUE SCATTERING FROM LOSSY STRIP STRUCTURES WITH ONE-DIMENSIONAL PERIODICITY [J].
JORGENSON, RE ;
MITTRA, R .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1990, 38 (02) :212-219
[3]   EFFICIENT CALCULATION OF THE FREE-SPACE PERIODIC GREEN-FUNCTION [J].
JORGENSON, RE ;
MITTRA, R .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1990, 38 (05) :633-642
[4]   INTEGRAL-TRANSFORMS USEFUL FOR THE ACCELERATED SUMMATION OF PERIODIC, FREE-SPACE GREENS-FUNCTIONS [J].
LAMPE, R ;
KLOCK, P ;
MAYES, P .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1985, 33 (08) :734-736
[5]   ACCELERATING THE CONVERGENCE OF SERIES REPRESENTING THE FREE SPACE PERIODIC GREEN-FUNCTION [J].
SINGH, S ;
RICHARDS, WF ;
ZINECKER, JR ;
WILTON, DR .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1990, 38 (12) :1958-1962
[6]   APPLICATION OF TRANSFORMS TO ACCELERATE THE SUMMATION OF PERIODIC FREE-SPACE GREENS-FUNCTIONS [J].
SINGH, S ;
SINGH, R .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1990, 38 (11) :1746-1748
[7]  
Wynn P, 1956, MTAC, V10, P91, DOI DOI 10.2307/2002183
[8]  
Wynn P., 1966, SIAM J NUMER ANAL, V3, P91, DOI DOI 10.1137/0703007
[9]  
Wynn P., 1956, P CAMBRIDGE PHIL SOC, V52, P663, DOI DOI 10.1017/S030500410003173X