dc.contributor.author |
Campos, Beatriz |
dc.contributor.author |
Canela Sánchez, Jordi |
dc.contributor.author |
Garijo, Antoni |
dc.contributor.author |
Vindel, Pura |
dc.date |
2021 |
dc.date.accessioned |
2022-10-31T18:44:07Z |
dc.date.available |
2022-10-31T18:44:07Z |
dc.date.issued |
2022-10-31 |
dc.identifier |
https://ddd.uab.cat/record/257135 |
dc.identifier |
urn:10.3846/mma.2021.12642 |
dc.identifier |
urn:oai:ddd.uab.cat:257135 |
dc.identifier |
urn:scopus_id:85106943544 |
dc.identifier |
urn:articleid:16483510v26n2p188 |
dc.identifier |
urn:gsduab:4994 |
dc.identifier.uri |
http://hdl.handle.net/2072/527209 |
dc.format |
application/pdf |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Agencia Estatal de Investigación PGC2018-095896-B-C22 |
dc.relation |
Ministerio de Economía y Competitividad MDM-2014-0445 |
dc.relation |
Agencia Estatal de Investigación MTM-2017-86795-C3-2-P |
dc.relation |
Mathematical Modelling and Analysis ; Vol. 26, Issue 2 (May 2021), p. 188-208 |
dc.rights |
open access |
dc.rights |
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original. |
dc.rights |
https://creativecommons.org/licenses/by/4.0/ |
dc.subject |
Iterative methods |
dc.subject |
Parameter planes |
dc.subject |
Complex dynamics of rational functions |
dc.title |
Dynamics of a family of rational operators of arbitrary degree |
dc.type |
Article |
dc.description.abstract |
Altres ajuts: projecte UJI-B2019-18 i BGSMath Banco de Santander Postdoctoral 2017 |
dc.description.abstract |
In this paper we analyse the dynamics of a family of rational operators coming from a fourth-order family of root-finding algorithms. We first show that it may be convenient to redefine the parameters to prevent redundancies and un-boundedness of problematic parameters. After reparametrization, we observe that these rational maps belong to a more general family O of degree n + k operators, which includes several other families of maps obtained from other numerical methods. We study the dynamics of O and discuss for which parameters n and k these operators would be suitable from the numerical point of view. |