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Improved local convergence of Newton’s method under weak majorant condition

✍ Scribed by Ioannis K. Argyros; Saïd Hilout


Book ID
113511805
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
287 KB
Volume
236
Category
Article
ISSN
0377-0427

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Local convergence of Newton’s method und
✍ O.P. Ferreira 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 240 KB

A local convergence analysis of Newton's method for solving nonlinear equations, under a majorant condition, is presented in this paper. Without assuming convexity of the derivative of the majorant function, which relaxes the Lipschitz condition on the operator under consideration, convergence, the