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On the Convergence of a New Family of Multi-Point Ehrlich-Type Iterative Methods for Polynomial Zeros
- Source :
- Mathematics, Vol 9, Iss 1640, p 1640 (2021), Mathematics, Volume 9, Issue 14
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- In this paper, we construct and study a new family of multi-point Ehrlich-type iterative methods for approximating all the zeros of a uni-variate polynomial simultaneously. The first member of this family is the two-point Ehrlich-type iterative method introduced and studied by Trićković and Petković in 1999. The main purpose of the paper is to provide local and semilocal convergence analysis of the multi-point Ehrlich-type methods. Our local convergence theorem is obtained by an approach that was introduced by the authors in 2020. Two numerical examples are presented to show the applicability of our semilocal convergence theorem.
- Subjects :
- Polynomial
iteration functions
Iterative method
General Mathematics
010103 numerical & computational mathematics
Construct (python library)
multi-point iterative methods
Type (model theory)
01 natural sciences
Local convergence
010101 applied mathematics
error estimates
Convergence (routing)
semilocal convergence
Computer Science (miscellaneous)
QA1-939
Applied mathematics
local convergence
0101 mathematics
polynomial zeros
Engineering (miscellaneous)
Multi point
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 1640
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....c1899ab9fc0acea78568d5c8d35c92d5