A new approach for the bigeometric newton method

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MANAS Journal of Engineering
Volume:11 Issue:2
A new approach for the bigeometric newton method

A new approach for the bigeometric newton method

Authors : Numan Yalçin, Ercan Celik

Pages : 235-240

Doi:10.51354/mjen.1372839

View : 55 | Download : 74

Publication Date : 2023-12-25

Article Type : Research Paper

Abstract :In this study, quadratic convergent new bigeometric Newton\'s method (nBGNM) was developed. For this, the basic definitions and theorems of bigeometric analysis, which is one of the non-Newtonian analysis, were used. Using the bigeometric Taylor expansion, a convergence analysis of this new method was given. Also, the new bigeometric Newton method (nBGNM) was compared in detail with the geometric (multiplicative) Newton method (GNM) and the classical Newton method (NM).
Keywords : Bigeometric analysis, Bigeometric Newton method, Quadratic convergence, Bigeometric Taylor expansion

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