Convergence of the Generalized Steffensen Method in Riemannian Manifolds

In this article, we present semilocal convergence of the generalized Steffensen method in Riemannian manifolds to find the singular points of a vector field. We establish the convergence under the Kantarovich–Ostrowski’s conditions. Finally, two examples are given to show the applicability of our co...

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Bibliographic Details
Published inSarajevo journal of mathematics Vol. 20; no. 2; pp. 320 - 333
Main Authors Prasad, Chandresh, Kumar Parida, Pradip
Format Journal Article
LanguageEnglish
Published 14.04.2025
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Summary:In this article, we present semilocal convergence of the generalized Steffensen method in Riemannian manifolds to find the singular points of a vector field. We establish the convergence under the Kantarovich–Ostrowski’s conditions. Finally, two examples are given to show the applicability of our convergence analysis.
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.20.02.13