Title :
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
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;
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
DOI :
10.1109/DIPED.2000.890001
