• Calculus of nth roots and thir...

Result: Calculus of nth roots and third order iterative methods: Calculus of \(n\)th roots and third order iterative methods.

Title:
Calculus of nth roots and third order iterative methods: Calculus of \(n\)th roots and third order iterative methods.
Authors:
Gutiérrez, J.M., Hernández, M.A., Salanova, M.A.
Source:
Dialnet CRIS Repositorio institucional de la Universidad de La Rioja
instname
RIUR. Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)
RIUR: Repositorio Institucional de la Universidad de La Rioja
Publisher Information:
Elsevier BV, 2001.
Publication Year:
2001
Subject Terms:
Iterative methods, Order of convergence, Numerical computation of solutions to single equations, 0101 mathematics, 01 natural sciences, Root extraction
Document Type:
Academic journal Article
File Description:
application/pdf; application/xml
Language:
English
ISSN:
0362-546X
DOI:
10.1016/s0362-546x(01)00408-4
Access URL:
https://ur.portalcientifico.es/documentos/5bbc698bb750603269e81d1e
https://investigacion.unirioja.es/documentos/5bbc698bb750603269e81d1e
https://zbmath.org/2095123
https://doi.org/10.1016/s0362-546x(01)00408-4
https://www.infona.pl/resource/bwmeta1.element.elsevier-20ec3daa-40d9-3c7b-bc75-24dd1e5d9358
http://linkinghub.elsevier.com/retrieve/pii/S0362546X01004084
https://api.elsevier.com/content/article/PII:S0362546X01004084?httpAccept=text/xml
http://www.sciencedirect.com/science/article/pii/S0362546X01004084
Rights:
Elsevier TDM
Accession Number:
edsair.doi.dedup.....f2c28a2c8e7777c56b80ab2424b7f78c
Database:
OpenAIRE

Further Information

A family of iterative methods is analyzed for the problem of extracting the nth root of a positive number R. The method is used to solve the nonlinear equation t n - R = 0. For each value of n, the method is used for the family for which the highest order of convergence is reached.