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Affine invariant convergence results for Newton's method

✍ Scribed by T. J. Ypma


Publisher
Springer Netherlands
Year
1982
Tongue
English
Weight
461 KB
Volume
22
Category
Article
ISSN
0006-3835

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Relaxing Convergence Conditions for Newt
✍ M.A. HernΓ‘ndez πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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