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On the semilocal convergence of Newton–Kantorovich method under center-Lipschitz conditions

✍ Scribed by Gutiérrez, J.M.; Magreñán, Á.A.; Romero, N.


Book ID
121887356
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
412 KB
Volume
221
Category
Article
ISSN
0096-3003

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Semilocal convergence of the secant meth
✍ M.A. Hernández; M.J. Rubio 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 548 KB

In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Holder continuous conditions. Also, we obtain a result f