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CONVERGENCE OF THIRD ORDER NEWTON-LIKE METHOD IN RIEMANNIAN MANIFOLDS

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Publicado en:Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III vol. 5, no. 1 (2025), p. 187
Autor principal: Parida, Pradip Kumar
Otros Autores: Prasad, Chandresh
Publicado:
Transilvania University of Brasov
Materias:
Riemann manifold
Convergence
Newton methods
Lipschitz condition
Mathematical functions
Applied mathematics
Methods
Banach spaces
Iterative methods
Topological manifolds
Acceso en línea:Citation/Abstract
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Resumen: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.
ISSN:2065-2151
DOI:10.31926/but.mif.2025.5.67.1.14
Fuente:Advanced Technologies & Aerospace Database