Some New Variants of Newton's Method
Loading...
Date
2004
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Ltd
Open Access Color
HYBRID
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 1%
Popularity
Top 1%
Abstract
Some new variants of Newton's method based on harmonic mean and midpoint integration rule have been developed and their convergence properties have been discussed. The order of convergence of the proposed methods are three. In addition to numerical tests verifying the theory, a comparison of the results for the proposed methods and some of the existing ones have also been given. © 2004 Elsevier Ltd. All rights reserved.
Description
Keywords
Function evaluations, Iteration function, Newton's method, Order of convergence, Newton's method, convergence, Order of convergence, harmonic mean Newton's method, Applied Mathematics, midpoint Newton's method, Numerical computation of solutions to single equations, Function evaluations, Iteration function
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
177
Source
Applied Mathematics Letters
Volume
17
Issue
6
Start Page
677
End Page
682
Collections
PlumX Metrics
Citations
CrossRef : 104
Scopus : 236
Captures
Mendeley Readers : 19
SCOPUS™ Citations
236
checked on Feb 08, 2026
Page Views
2
checked on Feb 08, 2026
Google Scholar™
OpenAlex FWCI
14.18248175
Sustainable Development Goals
3
GOOD HEALTH AND WELL-BEING
7
AFFORDABLE AND CLEAN ENERGY
