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• W125978751 abstract "A numerical procedure fo r solving non-linear equations is presented which is a mod ification of the Two Point Newton Method developed by the author earlier. It is shown that the method presented here has a third order convergence. The modified procedure incorporates computation of the x value for an intermediate point using the original Two Point Newton Method. The derivative of the intermed iate point is also estimated through linear extrapolat ion of the first derivatives of the previous two points of the iteration while the functional value for the intermediate point is obtained by applying trapezoidal rule on the first derivatives between the nearest point and the intermed iate point. The co mputational efficiency of the proposed method is h igh since the method requires evaluation of two functions per iterationonly while attaining a third order convergence. Examp les have been presented in this paper that show the application of the method and comparison of the rate o f convergence of the method with the Newton Method as well as withthe previously developed Two point Newton Method." @default.
• W125978751 created "2016-06-24" @default.
• W125978751 creator A5066165779 @default.
• W125978751 date "2013-01-01" @default.
• W125978751 modified "2023-09-26" @default.
• W125978751 title "An Efficient Cubically Convergent Two-Point Newton Method" @default.
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