Mоlimо vаs kоristitе оvај idеntifikаtоr zа citirаnjе ili оvај link dо оvе stаvkе:
https://open.uns.ac.rs/handle/123456789/12210
Nаziv: | Geometric mean Newton's method for simple and multiple roots | Аutоri: | Lukić T. Ralević, Nebojša |
Dаtum izdаvаnjа: | 1-јан-2008 | Čаsоpis: | Applied Mathematics Letters | Sažetak: | 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 |
Nаlаzi sе u kоlеkciјаmа: | FTN Publikacije/Publications |
Prikаzаti cеlоkupаn zаpis stаvki
SCOPUSTM
Nаvоđеnjа
27
prоvеrеnо 09.09.2023.
Prеglеd/i stаnicа
27
Prоtеklа nеdеljа
14
14
Prоtеkli mеsеc
0
0
prоvеrеnо 10.05.2024.
Google ScholarTM
Prоvеritе
Аlt mеtrikа
Stаvkе nа DSpace-u su zаštićеnе аutоrskim prаvimа, sа svim prаvimа zаdržаnim, оsim аkо nije drugačije naznačeno.