Métodos iterativos aplicados a la ecuación de Kepler

In this thesis we join two exciting areas such as astronomy, consisting of Kepler's equation, and numerical analysis, represented by iterative methods of solving equations. We investigate the behavior of a point methods (such as Newton's method, Halley's method, Chebyshev's method, super-Halley's method and Danby's method) and multipoint methods (such as the secant's method, bisection's method and Yun-Petkovic's method) when applied under certain initial conditions, Kepler's equation. Moreover, the cycles are characterized superatractives of period 2, which appear when applying Newton's method to the Kepler's equation, and ended with the characterization of the values of eccentricity, for which, semilocal convergence theories of Kantorovich, Gutierrez, Smale and Wang-Zhao, ensure Kepler's equation has a solution.

Grantor dc:publisher

Universidad de La Rioja (España)

Year dc:date

2013

Author dc:creator

• Diloné Alvarado, Manuel Aurelio

Contributors dc:contributor

• Gutiérrez Jiménez, José Manuel (Universidad de La Rioja)

• Métodos iterativos
• ecuación de Kepler
• Iterative methods
• Kepler's equation

Statement dc:rights

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Language dc:language

spa

Repository record dc:identifier

https://dialnet.unirioja.es/servlet/oaites?codigo=37843

OAI identifier oai:identifier

oai:dialnet.unirioja.es:TES0000004256