DocumentCode
1169712
Title
On the use of Chebyschev-Toeplitz algorithm in accelerating the numerical convergence of infinite series
Author
Singh, Surendra ; Singh, Ritu
Author_Institution
Dept. of Electr. Eng., Tulsa Univ., OK, USA
Volume
40
Issue
1
fYear
1992
fDate
1/1/1992 12:00:00 AM
Firstpage
171
Lastpage
173
Abstract
It is shown that a simple application of the Chebyschev-Toeplitz algorithm enhances the rate of convergence of slowly converging series. The algorithm is applied to series representing the periodic Green´s functions involving a single infinite summation. The algorithm yields highly accurate results within relatively fewer terms. A quantitative comparison is shown with methods previously reported in the literature
Keywords
Green´s function methods; convergence of numerical methods; series (mathematics); Chebyschev-Toeplitz algorithm; convergence rate acceleration; infinite series; numerical convergence; periodic Green´s functions; slowly converging series; Acceleration; Computational geometry; Convergence of numerical methods; Electromagnetic radiation; Electromagnetic scattering; Equations; Green´s function methods; Microwave antenna arrays;
fLanguage
English
Journal_Title
Microwave Theory and Techniques, IEEE Transactions on
Publisher
ieee
ISSN
0018-9480
Type
jour
DOI
10.1109/22.108340
Filename
108340
Link To Document