{"title":"The convergence analysis for a deformed Newton method with three orders in Banach space","authors":"Rongfei Lin, Yueqing Zhao","doi":"10.1109/ISRA.2012.6219277","DOIUrl":null,"url":null,"abstract":"We establish the Newton-Kantorovich convergence theorem for a deformed Newton methods in Banach space by using three orders majorizing function, which is used to solve the nonlinear operator equation. We also present the error estimate. Finally, some examples are provided to show the application of our theorem.","PeriodicalId":266930,"journal":{"name":"2012 IEEE Symposium on Robotics and Applications (ISRA)","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 IEEE Symposium on Robotics and Applications (ISRA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISRA.2012.6219277","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We establish the Newton-Kantorovich convergence theorem for a deformed Newton methods in Banach space by using three orders majorizing function, which is used to solve the nonlinear operator equation. We also present the error estimate. Finally, some examples are provided to show the application of our theorem.