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 convergence analysis.

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Publication Details

Journal
SARAJEVO JOURNAL OF MATHEMATICS
Published
2025-04-14
DOI
https://doi.org/10.5644/sjm.20.02.13
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00
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article

Convergence of the Generalized Steffensen Method in Riemannian Manifolds

P. K. Parida, Chandresh Prasad
SARAJEVO JOURNAL OF MATHEMATICS
Advanced Numerical Analysis Techniques
article

Convergence of the Generalized Steffensen Method in Riemannian Manifolds

P. K. Parida, Chandresh Prasad
article en

Abstract

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.

SARAJEVO JOURNAL OF MATHEMATICSVol. 20(2)
Openalex Percentile: Top 91%
Advanced Numerical Analysis Techniques
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Convergence of the Generalized Steffensen Method in Riemannian Manifolds — P. K. Parida, Chandresh Prasad · SARAJEVO JOURNAL OF MATHEMATICS (2025) | TGRS Research Map | TGRS