{"title":"Convergence of the consecutive approximation method of a solution of the nonlinear problems of the antennas synthesis","authors":"Y. Topolyuk","doi":"10.1109/DIPED.1999.822132","DOIUrl":null,"url":null,"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.","PeriodicalId":426777,"journal":{"name":"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.1999.822132","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
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.