Enlarging the radius of convergence for Newton–like method in which the derivative is re-evaluated after certain steps

Enlarging the radius of convergence for Newton–like method in which the derivative is re-evaluated after certain steps

Numerous attempts have been made to enlarge the radius of convergence for Newton–like method under the same set of conditions. It turns out that not only the radius of convergence but the error bounds on the distances involved and the uniqueness of the solution ball can more accurately be defined.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical Modeling and Computing 2022, Vol.9 (3), p.594-598
Hauptverfasser: Argyros, C. I., Argyros, I. K., Shakhno, S. M., Yarmola, H. P.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Numerous attempts have been made to enlarge the radius of convergence for Newton–like method under the same set of conditions. It turns out that not only the radius of convergence but the error bounds on the distances involved and the uniqueness of the solution ball can more accurately be defined.
ISSN:2312-9794
2415-3788
DOI:10.23939/mmc2022.03.594