Kuhn Algorithm: Ultraconvenient Solver to Complex Polynomial and Transcendental Equations without Initial Value Selection

Yunliang Long; Edward K. N. Yung

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Kuhn Algorithm: Ultraconvenient Solver to Complex Polynomial and Transcendental Equations without Initial Value Selection

机译：Kuhn Algorithm: Ultraconvenient Solver to Complex Polynomial and Transcendental Equations without Initial Value Selection

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摘要

In this fields of electromagnetic theory and engineering the numerical solution to complex polynomial and transcendental equations is a frequently encountered problem. In general, iterative method are used to resolve those equations. However, the iterative method needs the initial values and the selection of those is rather difficult. In this article the Kuhn algorithm is introduced for the first time and a novel approach (the Kuhn algorithm with contour integral) for resolving complex transcendental equations in electromagnetic theory is reported. Numerical examples are given to confirm the validity of the numerical methods. The application of the approaches to electromagnetic problems is also described. The presented methods are ultraconvenient because no initial value selection is required.

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来源
《International journal of RF and microwave computer-aided engineering》 |2002年第6期|540-547|共8页
作者
Yunliang Long; Edward K. N. Yung;
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作者单位

Department of Electronics, Zhongshan University, Guangzhou 510275, China;

Department of Electronic Engineering, City University of Hong Kong Hong Kong;

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正文语种英语
中图分类计算技术、计算机技术;
关键词
computational electromagnetics; polynomial; complex transcendental equation; Kuhn algorithm;

Kuhn Algorithm: Ultraconvenient Solver to Complex Polynomial and Transcendental Equations without Initial Value Selection

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