Молимо вас користите овај идентификатор за цитирање или овај линк до ове ставке:
https://open.uns.ac.rs/handle/123456789/12210
Назив: | Geometric mean Newton's method for simple and multiple roots | Аутори: | Lukić T. Ralević, Nebojša |
Датум издавања: | 1-јан-2008 | Часопис: | Applied Mathematics Letters | Сажетак: | In this work we consider the convergence behavior of a variant of Newton's method based on the geometric mean. The convergence properties of this method for solving equations which have simple or multiple roots have been discussed and it has been shown that it converges cubically to simple roots and linearly to multiple roots. Moreover, the values of the corresponding asymptotic error constants of convergence are determined. Theoretical results have been verified on the relevant numerical problems. A comparison of the efficiency of this method with other mean-based Newton's methods, based on the arithmetic and harmonic means, is also included. © 2007 Elsevier Ltd. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/12210 | ISSN: | 8939659 | DOI: | 10.1016/j.aml.2007.02.010 |
Налази се у колекцијама: | FTN Publikacije/Publications |
Приказати целокупан запис ставки
SCOPUSTM
Навођења
27
проверено 09.09.2023.
Преглед/и станица
27
Протекла недеља
14
14
Протекли месец
0
0
проверено 10.05.2024.
Google ScholarTM
Проверите
Алт метрика
Ставке на DSpace-у су заштићене ауторским правима, са свим правима задржаним, осим ако није другачије назначено.