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139918

Koenig’s root-finding algorithms

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Last updated: 23 Jan 2023

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Abstract

In this paper, we first recall the definition of a family of Koenig's rootfinding
algorithms known as Koenig's algorithms (𝐾􀯣,􀯡) for polynomials. In the whole
paper p has degree 𝑑 ≥ 2 with real coefficients and real (and simple) zeros 𝑥􀯞 , 1 ≤
𝑘 ≤ 𝑑 .
Now we want to discuss Koenig's algorithms in details where
𝑛 = 4, (𝐾􀯉,􀬸(𝑧)).

DOI

10.21608/djs.2016.139918

Keywords

Koenig’s function, derivative of Koenig, immediate basins of Koenig

Authors

First Name

Omar Ismael

Last Name

El Hasadi

MiddleName

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Affiliation

Department of Mathematics, Faculty of Education, University of Omar Al Mukhtar, Branch Derna, Libya.

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Volume

37

Article Issue

1

Related Issue

20702

Issue Date

2016-06-01

Receive Date

2021-01-15

Publish Date

2016-06-01

Page Start

58

Page End

64

Print ISSN

1012-5965

Online ISSN

2735-5306

Article File

DJS_Volume 37_Issue 1_Pages 58-64.pdf

PDF . 1.2MB

Link

https://djs.journals.ekb.eg/article_139918.html

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https://djs.journals.ekb.eg/service?article_code=139918

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6

Type

Research and Reference

Type Code

1,686

Publication Type

Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

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Article

Created At

23 Jan 2023