期刊论文

Ponnusamy, Saminathan

英文

Journal of Computational and Applied Mathematics

0377-0427

2018

336

468-476

10.1016/j.cam.2017.12.023

The work was completed during the visit of the first author to the Indian Statistical Institute, Chennai Centre and this author thanks the institute for the support and the hospitality. The research of the first author was supported by the NSFs of China (No. 11571049 ), the Construct Program of the Key Discipline in Hunan Province , the Science and Technology Plan Project of Hunan Province (No. 2016TP1020 ) and the Science and Technology Plan Project of Hengyang City ( 2017 kJ183 ). The work of the second author is supported by Mathematical Research Impact Centric Support (MATRICS) of DST, India ( MTR/2017/000367 ), and the second author is currently at Indian Statistical Institute (ISI), Chennai Centre, Chennai, India. The authors thank the referee for his/her comments.

本校为第一机构

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-cycle of Kfn,λ,n with m...