TY  - JOUR
T1  - A new approach for the bigeometric newton method
AU  - Celık, Ercan
AU  - Yalçın, Numan
PY  - 2023
DA  - December
DO  - 10.51354/mjen.1372839
JF  - MANAS Journal of Engineering
JO  - MJEN
PB  - Kyrgyz-Turkish Manas University
WT  - DergiPark
SN  - 1694-7398
SP  - 235
EP  - 240
VL  - 11
IS  - 2
LA  - en
AB  - 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).
KW  - Bigeometric analysis
KW  - Bigeometric Newton method
KW  - Quadratic convergence
KW  - Bigeometric Taylor expansion
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UR  - https://doi.org/10.51354/mjen.1372839
L1  - https://dergipark.org.tr/en/download/article-file/3461135
ER  -