Newton method for symmetric quartic polynomial
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Other documents of the author: Campos, Beatriz; Garijo, Antonio; Jarque, Xavier; Vindel, Pura
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Newton method for symmetric quartic polynomialDate
2016-11Publisher
ElsevierBibliographic citation
CAMPOS, Beatriz, et al. Newton method for symmetric quartic polynomial. Applied Mathematics and Computation, 2016, vol. 290, p. 326-335.Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0096300316303927Version
info:eu-repo/semantics/sumittedVersionSubject
Abstract
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 2016Rights
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