{"title":"用新的六阶收敛法求非线性方程的近似根","authors":"Rzgar F. Mahmood, M. Mrakhan, O. Ahmed","doi":"10.24271/psr.2022.161694","DOIUrl":null,"url":null,"abstract":"In this study, we introduced new iterative techniques, for the purpose solving nonlinear equations. The new approaches are based on the auxiliary equation and Newton's method, respectively. Our method's a convergence analysis is explained. The novel approach is found to have convergence order of six. Numerical experiments show that the new method work better than well-known iterative methods and is similar to them.","PeriodicalId":33835,"journal":{"name":"Passer Journal","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finding Approximate Roots of Nonlinear Equations by Using New Sixth-Order Convergence\",\"authors\":\"Rzgar F. Mahmood, M. Mrakhan, O. Ahmed\",\"doi\":\"10.24271/psr.2022.161694\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we introduced new iterative techniques, for the purpose solving nonlinear equations. The new approaches are based on the auxiliary equation and Newton's method, respectively. Our method's a convergence analysis is explained. The novel approach is found to have convergence order of six. Numerical experiments show that the new method work better than well-known iterative methods and is similar to them.\",\"PeriodicalId\":33835,\"journal\":{\"name\":\"Passer Journal\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Passer Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24271/psr.2022.161694\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Passer Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24271/psr.2022.161694","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finding Approximate Roots of Nonlinear Equations by Using New Sixth-Order Convergence
In this study, we introduced new iterative techniques, for the purpose solving nonlinear equations. The new approaches are based on the auxiliary equation and Newton's method, respectively. Our method's a convergence analysis is explained. The novel approach is found to have convergence order of six. Numerical experiments show that the new method work better than well-known iterative methods and is similar to them.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
