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).
Keyword: bigeometric analysis; bigeometric newton method; quadratic convergence; bigeometric taylor expansion
Название публикации (dc.title) | A new approach for the bigeometric newton method |
Автор/ы (dc.contributor.yazarlar) | Numan YALÇIN, Ercan CELIK |
Вид публикации (dc.type) | Makale |
Год публикации (dc.date.issued) | 2023 |
Национальный/Международный (dc.identifier.ulusaluluslararasi) | Ulusal |
Источник (dc.relation.journal) | MANAS Journal of Engineering (MJEN) |
Номер (dc.identifier.issue) | 2 |
Том/№ (dc.identifier.volume) | 11 |
Страница (dc.identifier.startpage) | 325-240 |
ISSN/ISBN (dc.identifier.issn) | Online ISSN: 1694-7398 |
Издатель (dc.publisher) | Kyrgyz - Turkish Manas University |
Базы данных (dc.contributor.veritaban) | Ulakbim (DergiPark) |
Базы данных (dc.contributor.veritaban) | EBSCOHost |
Вид индекса (dc.identifier.index) | Alan Indeks |
Резюме (dc.description.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). |
Резюме (dc.description.abstract) | Keyword: bigeometric analysis; bigeometric newton method; quadratic convergence; bigeometric taylor expansion |
URL (dc.rights) | https://dergipark.org.tr/tr/pub/mjen/issue/81663/1372839 |
DOI (dc.identifier.doi) | 10.51354/mjen.1372839 |
Факультет / Институт (dc.identifier.fakulte) | Mühendislik Fakültesi |
Кафедра (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Автор(ы) в учреждении (dc.contributor.author) | Ercan ÇELİK |
№ регистрации (dc.identifier.kayitno) | BL2D0DE5DA |
Дата регистрации (dc.date.available) | 2023-12-29 |
Заметка (Год публикации) (dc.identifier.notyayinyili) | 2023 |
Тематический рубрикатор (dc.subject) | bigeometric analysis |
Тематический рубрикатор (dc.subject) | bigeometric newton method |
Тематический рубрикатор (dc.subject) | quadratic convergence |
Тематический рубрикатор (dc.subject) | bigeometric taylor expansion |