Newton method for symmetric quartic polynomial
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Otros documentos de la autoría: Campos, Beatriz; Garijo, Antonio; Jarque, Xavier; Vindel, Pura
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Newton method for symmetric quartic polynomialFecha de publicación
2016-11Editor
ElsevierCita bibliográfica
CAMPOS, Beatriz, et al. Newton method for symmetric quartic polynomial. Applied Mathematics and Computation, 2016, vol. 290, p. 326-335.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0096300316303927Versión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
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. [-]
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Applied Mathematics and Computation Volume 290, November 2016Derechos de acceso
© 2016 Elsevier Inc. All rights reserved
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info:eu-repo/semantics/openAccess
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