{"title":"求解非线性方程的超线性迭代法","authors":"U. K. Qureshi, M. Ansari, M. R. Syed","doi":"10.26692/SURJ/2018.01.0024","DOIUrl":null,"url":null,"abstract":"In this paper a super linear iterated method has been suggested for solving non-linear equations. The proposed super linear method is very much effective and convenient for solving non-linear equations, and it is a derivative free two-point method. The proposed iterated method is derived from Newton Raphson Method and Taylor Series. We have observed in numerical outcome is that the super line a rmethod is rapidly converge with the assessment of Bisection Method, Regula-Falsi Method and Secant Method. Its hypothetical out comes and efficacy is inveterate by Numerical problems. Throughout the study, it has been perceived that the developed super linear algorithm is a decent attainment for estimating a single root of nonlinear equations.","PeriodicalId":21859,"journal":{"name":"Sindh University Research Journal","volume":"185 1","pages":"137-140"},"PeriodicalIF":0.0000,"publicationDate":"2018-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Super Linear Iterated Method for Solving Non-Linear Equations\",\"authors\":\"U. K. Qureshi, M. Ansari, M. R. Syed\",\"doi\":\"10.26692/SURJ/2018.01.0024\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper a super linear iterated method has been suggested for solving non-linear equations. The proposed super linear method is very much effective and convenient for solving non-linear equations, and it is a derivative free two-point method. The proposed iterated method is derived from Newton Raphson Method and Taylor Series. We have observed in numerical outcome is that the super line a rmethod is rapidly converge with the assessment of Bisection Method, Regula-Falsi Method and Secant Method. Its hypothetical out comes and efficacy is inveterate by Numerical problems. Throughout the study, it has been perceived that the developed super linear algorithm is a decent attainment for estimating a single root of nonlinear equations.\",\"PeriodicalId\":21859,\"journal\":{\"name\":\"Sindh University Research Journal\",\"volume\":\"185 1\",\"pages\":\"137-140\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Sindh University Research Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26692/SURJ/2018.01.0024\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sindh University Research Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26692/SURJ/2018.01.0024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Super Linear Iterated Method for Solving Non-Linear Equations
In this paper a super linear iterated method has been suggested for solving non-linear equations. The proposed super linear method is very much effective and convenient for solving non-linear equations, and it is a derivative free two-point method. The proposed iterated method is derived from Newton Raphson Method and Taylor Series. We have observed in numerical outcome is that the super line a rmethod is rapidly converge with the assessment of Bisection Method, Regula-Falsi Method and Secant Method. Its hypothetical out comes and efficacy is inveterate by Numerical problems. Throughout the study, it has been perceived that the developed super linear algorithm is a decent attainment for estimating a single root of nonlinear equations.