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Prescribed cycles of König’s method for polynomials

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成果类型:
期刊论文
作者:
Liu, Gang;Ponnusamy, Saminathan*
通讯作者:
Ponnusamy, Saminathan
作者机构:
[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Hunan, Peoples R China.
[Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.
通讯机构:
[Ponnusamy, Saminathan] I
Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.
语种:
英文
关键词:
König’s method;Cycle;Fatou set;Attracting basin;Parabolic basin;Siegel disk
期刊:
Journal of Computational and Applied Mathematics
ISSN:
0377-0427
年:
2018
卷:
336
页码:
468-476
基金类别:
Indian Statistical Institute, Chennai Centre; NSFs of ChinaNational Natural Science Foundation of China (NSFC) [11571049]; Science and Technology Plan Project of Hunan Province [2016TP1020]; Science and Technology Plan Project of Hengyang City [2017 kJ183]; Mathematical Research Impact Centric Support (MATRICS) of DST, India [MTR/2017/000367]; Construct Program of the Key Discipline in Hunan Province
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
We consider König’s method for finding roots of polynomials. Let Kf,n be the function defined in König’s method for polynomial f of order n (n≥2). For any given complex number λ∈C and any given set Ω≔{z1,z2,…,zk} of k (k≥2) distinct complex numbers, we present a procedure of constructing a polynomial fn,λ for which Ω is a k-cycl...

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