Title :
Convergence rate of iterative method for problem with free phase in case of isometric operator
Author :
Topolyuk, Yu P. ; Voitovich, N.N.
Author_Institution :
Pidstryhach Inst. for Appl. Problems of Mech. & Math., Nat. Acad. of Sci. of Ukraine, Lviv, Ukraine
Abstract :
The variational problem on the pseudo-solutions of the equation with free phase in the case of an isometric operator in Hilbertian spaces is considered. The convergence of the simple iteration method, applied to the Euler equation of the problem, is proven. A posteriori estimation of the convergence rate is obtained. The synthesis of some class of antenna according to a prescribed amplitude radiation pattern is considered.
Keywords :
Hilbert spaces; antenna radiation patterns; antenna theory; convergence of numerical methods; iterative methods; mathematical operators; parameter estimation; variational techniques; Euler equation; Hilbertian spaces; a posteriori estimation; antenna radiation pattern; antenna synthesis; free phase; isometric operator; iterative method convergence rate; variational problem; Antenna radiation patterns; Computer aided software engineering; Convergence; Eigenvalues and eigenfunctions; Hilbert space; Iterative methods; Lagrangian functions; Mathematics; Nonlinear equations;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2004. DIPED 2004. Proceedings of the 9th International Seminar/Workshop on
Print_ISBN :
966-02-3253-5
DOI :
10.1109/DIPED.2004.242455
