Newton method for symmetric quartic polynomial
Visualitza/
Impacte
Scholar |
Altres documents de l'autoria: Campos, Beatriz; Garijo, Antonio; Jarque, Xavier; Vindel, Pura
Metadades
Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadades
Títol
Newton method for symmetric quartic polynomialData de publicació
2016-11Editor
ElsevierCita bibliogràfica
CAMPOS, Beatriz, et al. Newton method for symmetric quartic polynomial. Applied Mathematics and Computation, 2016, vol. 290, p. 326-335.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0096300316303927Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
We investigate the parameter plane of the Newton’s method applied to the family of quartic polynomials pa,b(z)=z4+az3+bz2+az+1,pa,b(z)=z4+az3+bz2+az+1, where a and b are real parameters. We divide the parameter plane ... [+]
We investigate the parameter plane of the Newton’s method applied to the family of quartic polynomials pa,b(z)=z4+az3+bz2+az+1,pa,b(z)=z4+az3+bz2+az+1, where a and b are real parameters. We divide the parameter plane (a,b)∈R2(a,b)∈R2 into twelve open and connected regions where p, p′ and p′′ have simple roots. In each of these regions we focus on the study of the Newton’s operator acting on the Riemann sphere. [-]
Publicat a
Applied Mathematics and Computation Volume 290, November 2016Drets d'accés
© 2016 Elsevier Inc. All rights reserved
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
Apareix a les col.leccions
- MAT_Articles [749]