{"title":"求非线性方程单根的三阶均值jarrat型方法","authors":"N. Ralević, Dejan Ćebić, I. Pavkov","doi":"10.1109/SISY.2015.7325364","DOIUrl":null,"url":null,"abstract":"This paper presents a new variant of the third-order iterative scheme for finding a simple root of nonlinear equation. The new scheme is a combination of Jarratt's method and the mean-based Newton's method of the third order. It is numerically compared with several relevant mean-based two-step methods, and the test examples agree with the theoretical analysis.","PeriodicalId":144551,"journal":{"name":"2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The third order mean-based Jarratt-type method for finding simple roots of nonlinear equation\",\"authors\":\"N. Ralević, Dejan Ćebić, I. Pavkov\",\"doi\":\"10.1109/SISY.2015.7325364\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a new variant of the third-order iterative scheme for finding a simple root of nonlinear equation. The new scheme is a combination of Jarratt's method and the mean-based Newton's method of the third order. It is numerically compared with several relevant mean-based two-step methods, and the test examples agree with the theoretical analysis.\",\"PeriodicalId\":144551,\"journal\":{\"name\":\"2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY)\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SISY.2015.7325364\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SISY.2015.7325364","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The third order mean-based Jarratt-type method for finding simple roots of nonlinear equation
This paper presents a new variant of the third-order iterative scheme for finding a simple root of nonlinear equation. The new scheme is a combination of Jarratt's method and the mean-based Newton's method of the third order. It is numerically compared with several relevant mean-based two-step methods, and the test examples agree with the theoretical analysis.