Convergence of third orderNewton-like method in Riemannian manifolds

Authors

  • P.K. Parida Central University of Jharkhand, India
  • C. Prasad Central University of Jharkhand, India

DOI:

https://doi.org/10.31926/but.mif.2025.5.67.1.14

Keywords:

vector fields, Riemannian manifolds, Lipschitz condition, third order Newton-like method

Abstract

In this article, we present semilocal convergence of third order Newton-like method in Riemannian manifolds. We study convergence analysis with Lipschitz continuity condition and by using recurrence relations of the method. Finally, two numerical examples are given to illustrate the effectiveness of our results.

Author Biographies

P.K. Parida, Central University of Jharkhand, India

Department of Mathematics, Ranchi - 835222

C. Prasad, Central University of Jharkhand, India

Department of Mathematics, Ranchi - 835222

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Published

2025-01-14

Issue

Vol. 5(67) No. 1 (2025)

Section

MATHEMATICS