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CONVERGENCE OF THIRD ORDER NEWTON-LIKE METHOD IN RIEMANNIAN MANIFOLDS

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Udgivet i:Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III vol. 5, no. 1 (2025), p. 187
Hovedforfatter: Parida, Pradip Kumar
Andre forfattere: Prasad, Chandresh
Udgivet:
Transilvania University of Brasov
Fag:
Riemann manifold
Convergence
Newton methods
Lipschitz condition
Mathematical functions
Applied mathematics
Methods
Banach spaces
Iterative methods
Topological manifolds
Online adgang:Citation/Abstract
Full Text - PDF
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024 7 |a 10.31926/but.mif.2025.5.67.1.14  |2 doi 
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045 2 |b d20250101  |b d20250630 
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100 1 |a Parida, Pradip Kumar  |u Department of Mathematics, Central University of Jharkhand, Ranchi - 835222, India 
245 1 |a CONVERGENCE OF THIRD ORDER NEWTON-LIKE METHOD IN RIEMANNIAN MANIFOLDS 
260 |b Transilvania University of Brasov  |c 2025 
513 |a Journal Article 
520 3 |a 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. 
653 |a Riemann manifold 
653 |a Convergence 
653 |a Newton methods 
653 |a Lipschitz condition 
653 |a Mathematical functions 
653 |a Applied mathematics 
653 |a Methods 
653 |a Banach spaces 
653 |a Iterative methods 
653 |a Topological manifolds 
700 1 |a Prasad, Chandresh  |u Department of Mathematics, Central University of Jharkhand, Ranchi - 835222, India 
773 0 |t Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III  |g vol. 5, no. 1 (2025), p. 187 
786 0 |d ProQuest  |t Advanced Technologies & Aerospace Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3173092965/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3173092965/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch