An efficient algorithm for finding zeros of a real function of two variables

Author

Mrozowski, Michal

Author_Institution

Telecommun. Inst., Tech. Univ. of Gdansk, Poland

Volume

36

Issue

3

fYear

1988

fDate

3/1/1988 12:00:00 AM

Firstpage

601

Lastpage

604

Abstract

The procedure presented searches the interval in which a function changes sign and then automatically locks to a curve f(λ,p)=0, following it inside a given rectangular region. The method ensures that at each step a new pair of points with different function signs is generated, and, in effect, it minimizes the number of function evaluations. Complementary algorithms opening up opportunities for the further automation of the search process are also presented in outline. An example of the application of the new procedure is included. The proposed algorithm is particularly suitable for solving the electromagnetic problems leading to transcendent equations

Keywords

electromagnetic field theory; function evaluation; poles and zeros; complementary algorithms; electromagnetic field theory; function evaluations; real function of two variables; transcendent equations; zero finding algorithms; Automation; Eigenvalues and eigenfunctions; Electromagnetic scattering; Nonlinear equations; Propagation constant; Resonance; Resonant frequency; Telecommunication computing;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.3555

Filename

3555