Super-Halley method under majorant conditions in Banach spaces

Autor:	Shwet Nisha, P. K. Parida
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	nonlinear equations super-halley method majorant conditions local convergence semilocal convergence smale-type conditions kantorovich-type conditions Mathematics QA1-939
Zdroj:	Cubo, Vol 22, Iss 1, Pp 55-70 (2020)
Druh dokumentu:	article
ISSN:	0719-0646 0716-7776
DOI:	10.4067/S0719-06462020000100055
Popis:	In this paper, we have studied local convergence of Super-Halley method in Banach spaces under the assumption of second order majorant conditions. This approach allows us to obtain generalization of earlier convergence analysis under majorizing sequences. Two important special cases of the convergence analysis based on the premises of Kantorovich and Smale type conditions have also been concluded. To show efficacy of our approach we have given three numerical examples.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/344692e288e844b9a5a6e683cb67ba94 Zobrazit plný text záznamu View record in DOAJ