Kuhn algorithm: Ultraconvenient solver to complex polynomial and transcendental equations without initial value selection

• Published in: International journal of RF and microwave computer-aided engineering Vol. 12; no. 6; pp. 540 - 547
• Main Authors: Long, Yunliang, Yung, Edward K. N.
• Format: Journal Article
• Language: English
• Published: New York Wiley Subscription Services, Inc., A Wiley Company 01.11.2002
• Subjects: complex transcendental equation; computational electromagnetics; Kuhn algorithm; polynomial
• ISSN: 1096-4290; 1099-047X
• DOI: 10.1002/mmce.10054

In the fields of electromagnetic theory and engineering the numerical solution to complex polynomial and transcendental equations is a frequently encountered problem. In general, iterative methods 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. © 2002 Wiley Periodicals, Inc. Int J RF and Microwave CAE 12, 540–547, 2002. Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mmce.10054