{"title":"求解Banach空间非线性方程的一种变形Jarratt方法","authors":"Xufeng Shang, Yubo Yuan","doi":"10.1109/ICMLC.2012.6359592","DOIUrl":null,"url":null,"abstract":"In this paper, a deformed Jarratt's iteration without the inverse of the derivative is presented firstly and the convergence theorem of this method is established by using majoring functions. The new method does not required the evaluation of the inverse of derivative, and it achieves the fourth order. Finally, illustrative examples are included to demonstrate the validity and applicability of the technique.","PeriodicalId":128006,"journal":{"name":"2012 International Conference on Machine Learning and Cybernetics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A deformed Jarratt's method for solving non-linear equation in Banach space\",\"authors\":\"Xufeng Shang, Yubo Yuan\",\"doi\":\"10.1109/ICMLC.2012.6359592\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a deformed Jarratt's iteration without the inverse of the derivative is presented firstly and the convergence theorem of this method is established by using majoring functions. The new method does not required the evaluation of the inverse of derivative, and it achieves the fourth order. Finally, illustrative examples are included to demonstrate the validity and applicability of the technique.\",\"PeriodicalId\":128006,\"journal\":{\"name\":\"2012 International Conference on Machine Learning and Cybernetics\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 International Conference on Machine Learning and Cybernetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMLC.2012.6359592\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 International Conference on Machine Learning and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMLC.2012.6359592","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A deformed Jarratt's method for solving non-linear equation in Banach space
In this paper, a deformed Jarratt's iteration without the inverse of the derivative is presented firstly and the convergence theorem of this method is established by using majoring functions. The new method does not required the evaluation of the inverse of derivative, and it achieves the fourth order. Finally, illustrative examples are included to demonstrate the validity and applicability of the technique.
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