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Convergence of Newton’s Method for Sections on

✍ Scribed by J. H. Wang


Publisher
Springer
Year
2010
Tongue
English
Weight
502 KB
Volume
148
Category
Article
ISSN
0022-3239

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Relaxing Convergence Conditions for Newt
✍ M.A. Hernández 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 100 KB

The classical Kantorovich theorem on Newton's method assumes that the first 5 w Ž . derivative of the operator involved satisfies a Lipschitz condition ⌫ FЈ x y 0 Ž .x5 5 5 FЈ y F L x y y . In this paper, we weaken this condition, assuming that 5 w Ž . Ž .x5 Ž5 5 . ⌫ FЈ x y FЈ x F x y x for a given