Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family

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• 作者：Beatriz Campos ; Alicia Cordero ; Juan R. Torregrosa ; Pura Vindel
• 刊名：Numerical Algorithms
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：73
• 期：1
• 页码：141-156
• 全文大小：1,287 KB
• 刊物类别：Computer Science
• 刊物主题：Numeric Computing
  Algorithms
  Mathematics
  Algebra
  Theory of Computation
  
• 出版者：Springer U.S.
• ISSN：1572-9265
• 卷排序：73

文摘

The study of the dynamical behaviour of the operators defined by iterative methods help us to know more deeply the regions where these methods have a good performance. In this paper, we follow the dynamical study of a multipoint variant of the known Chebyshev-Halley’s family, showing the existence of attractive periodic orbits of period 2 for some values of the parameter.KeywordsIterative methodsComplex dynamicsChebyshev-Halley’s family2-periodic orbits2-bulbs