Koenig’s root-finding algorithms | ||
| Delta Journal of Science | ||
| Article 6, Volume 37, Issue 1, June 2016, Pages 58-64 PDF (1.16 M) | ||
| Document Type: Research and Reference | ||
| DOI: 10.21608/djs.2016.139918 | ||
| Author | ||
| Omar Ismael El Hasadi | ||
| Department of Mathematics, Faculty of Education, University of Omar Al Mukhtar, Branch Derna, Libya. | ||
| 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)). | ||
| Keywords | ||
| Koenig’s function; derivative of Koenig; immediate basins of Koenig | ||
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