Symmetries of the Julia sets of Newton's method for multiple root
- Author
- WEIFENG YANG1
[1] Department of Mathematics & Physics, Hunan Institute of Engineering, Xiangtan, 411104 Hunan, China - Source
Applied mathematics and computation. 2010, Vol 217, Num 6, pp 2490-2494, 5 p ; ref : 12 ref
- CODEN
- AMHCBQ
- ISSN
- 0096-3003
- Scientific domain
- Control theory, operational research; Computer science; Mathematics
- Publisher
- Elsevier, Amsterdam
- Publication country
- Netherlands
- Document type
- Article
- Language
- English
- Author keyword
- Conformal Euclidean isometry Group of symmetries Julia set Newton's method
- Keyword (fr)
- Analyse numérique Condition nécessaire suffisante Forme normale Groupe fini Groupe symétrie Mathématiques appliquées Méthode Newton Méthode polynomiale Polynôme 20B05 37F50 58C15 Ensemble Julia
- Keyword (en)
- Numerical analysis Necessary and sufficient condition Normal form Finite group Symmetry group Applied mathematics Newton method Polynomial method Polynomial Julia set
- Keyword (es)
- Análisis numérico Condición necesaria suficiente Forma normal Grupo finito Grupo simetría Matemáticas aplicadas Método Newton Método polinomial Polinomio
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02D Group theory / 001A02D01 Group theory and generalizations
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02G Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds / 001A02G04 Global analysis, analysis on manifolds
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 24178177
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1016/j.amc.2010.07.061 
https://dx.doi.org/10.1016/j.amc.2010.07.061
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