Convergence of iterative method for problem with free phase in case of isometric operator

Author

Voitovich, Nikolai N. ; Topolyuk, Yu.P.

Author_Institution

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

fYear

2000

fDate

2000

Firstpage

52

Lastpage

56

Abstract

The problem with free phase is the problem in which only the modulus of the right hand side is given. The case is considered when a linear operator of the problem is acting in complex Hilbertian spaces. The pseudo-solutions of the problem is found from a nonlinear functional equation. The convergence of an iterative method for this equation is proved for the case, when the operator of the problem is isometric

Keywords

antenna radiation patterns; convergence of numerical methods; functional equations; iterative methods; mathematical operators; nonlinear functions; amplitude radiation pattern; antenna radiation patterns; antenna synthesis theory; complex Hilbertian spaces; free phase; isometric operator; iterative method convergence; linear operator; nonlinear functional equation; pseudo-solutions; Antenna radiation patterns; Antenna theory; Computer aided software engineering; Convergence; Frequency locked loops; Gold; Hilbert space; Iterative methods; Mathematics; Nonlinear equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2000. DIPED - 2000. Proceedings of the 5th International Seminar/Workshop on

Conference_Location

Tbilisi

Print_ISBN

966-02-1463-4

Type

conf

DOI

10.1109/DIPED.2000.890001

Filename

890001