Convergence of the consecutive approximation method of a solution of the nonlinear problems of the antennas synthesis

Author

Topolyuk, Yu.P.

Author_Institution

Inst. of Appl. Problems of Mech. & Math., Acad. of Sci., Lvov

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

70

Lastpage

74

Abstract

The weak convergence of a consecutive approximation method of a solution of the nonlinear equation is proved. The problem of searching of a pseudo-solution of the equations with a free phase is reduced to this equation. The operator of the equation is a superposition of the linear limited operator and nonlinear operator (modulus of a complex function). In this case the linear operator of the problem is completely continuous

Keywords

antenna radiation patterns; approximation theory; convergence of numerical methods; mathematical operators; nonlinear equations; antenna amplitude pattern; antenna synthesis; complex function modulus; consecutive approximation method; equation operator; free phase; linear limited operator; nonlinear equation; nonlinear operator; nonlinear problems; operators superposition; pseudo-solution; weak convergence; Approximation methods; Atmosphere; Gold; Hilbert space; Inverse problems; Iterative algorithms; Mathematics; Nonlinear equations; Optical control;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 1999. Proceedings of IVth International Seminar/Workshop

Conference_Location

Lviv

Print_ISBN

966-02-0864-2

Type

conf

DOI

10.1109/DIPED.1999.822132

Filename

822132