ON THE USE OF SHANKS TRANSFORM TO ACCELERATE THE SUMMATION OF SLOWLY CONVERGING SERIES

被引：25

作者：

SINGH, S

SINGH, R

机构：

[1] Department of Electrical Engineering, University of Tulsa, Tulsa, OK

来源：

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES | 1991年 / 39卷 / 03期

关键词：

D O I：

10.1109/22.75314

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：

It is shown that the application of Shanks' transform results in accelerating the convergence of slowly converging series. The transform is applied to a periodic Green's function involving a single summation. The convergence properties of this series are reported for the "on-plane" case, in which the series converges extremely slowly. Numerical results indicate that by employing Shanks's transform the computation time can be reduced by as much as a factor of 200.

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页码：608 / 610

页数：3

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