Dynamics of a Family of Rational Operators of Arbitrary Degree
Impacto
Scholar |
Otros documentos de la autoría: Campos, Beatriz; Canela, Jordi; Garijo, Antonio; Vindel, Pura
Metadatos
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comunitat-uji-handle3:10234/8635
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INVESTIGACIONMetadatos
Título
Dynamics of a Family of Rational Operators of Arbitrary DegreeFecha de publicación
2021-05-26Editor
Vilnius Gediminas Technical UniversityISSN
1392-6292Cita bibliográfica
Campos, B., Canela, J., Garijo, A., & Vindel, P. (2021). Dynamics of a family of rational operators of arbitrary degree. Mathematical Modelling and Analysis, 26(2), 188-208. https://doi.org/10.3846/mma.2021.12642Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://journals.vgtu.lt/index.php/MMA/article/view/12642Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
. 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 ... [+]
. 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 unboundedness of problematic parameters. After reparametrization, we observe that
these rational maps belong to a more general family Oa,n,k of degree n+k operators,
which includes several other families of maps obtained from other numerical methods. We study the dynamics of Oa,n,k and discuss for which parameters n and k these
operators would be suitable from the numerical point of view. [-]
Publicado en
Mathematical Modelling and Analysis, Volume 26, Issue 2, 188–208, 2021Entidad financiadora
Spanish Ministry of Economy and Competitiveness | Universitat Jaume I | Banco de Santander
Código del proyecto o subvención
PGC2018-095896- B-C22 (MCIU/AEI/FEDER/UE) | UJI-B2019-18 | (MDM-2014-0445) | MTM-2017-86795- C3-2-P
Derechos de acceso
info:eu-repo/semantics/openAccess
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- IMAC_Articles [121]
- MAT_Articles [761]
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