{"title":"求解非线性方程的一种11阶Chebyshev-Halley型方法综述","authors":"Bana Ali Raba, Fadime Dal","doi":"10.52460/issc.2023.031","DOIUrl":null,"url":null,"abstract":"In this paper, we present a new eleventh order method for solving nonlinear equations numerically. This method is based on the methods of Chebyshev and Halley methods and requires five function evaluations (two function calculations, two first derivative calculations, and a second derivative calculation). Therefore, the efficiency index of this method is √11 5 = 1,615. The numerical comparisons made also show that the method of this article has good efficiency.","PeriodicalId":138273,"journal":{"name":"7th International Students Science Congress Proceedings Book","volume":"2006 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Review of an Eleventh Order of Chebyshev–Halley Type Method for Solving Nonlinear Equations\",\"authors\":\"Bana Ali Raba, Fadime Dal\",\"doi\":\"10.52460/issc.2023.031\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present a new eleventh order method for solving nonlinear equations numerically. This method is based on the methods of Chebyshev and Halley methods and requires five function evaluations (two function calculations, two first derivative calculations, and a second derivative calculation). Therefore, the efficiency index of this method is √11 5 = 1,615. The numerical comparisons made also show that the method of this article has good efficiency.\",\"PeriodicalId\":138273,\"journal\":{\"name\":\"7th International Students Science Congress Proceedings Book\",\"volume\":\"2006 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"7th International Students Science Congress Proceedings Book\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52460/issc.2023.031\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"7th International Students Science Congress Proceedings Book","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52460/issc.2023.031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Review of an Eleventh Order of Chebyshev–Halley Type Method for Solving Nonlinear Equations
In this paper, we present a new eleventh order method for solving nonlinear equations numerically. This method is based on the methods of Chebyshev and Halley methods and requires five function evaluations (two function calculations, two first derivative calculations, and a second derivative calculation). Therefore, the efficiency index of this method is √11 5 = 1,615. The numerical comparisons made also show that the method of this article has good efficiency.
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