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Convergence of Newton-like methods for nonlinear systems

✍ Scribed by Paul G. Bao; J.G. Rokne

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
463 KB
Volume
329
Category
Article
ISSN
0016-0032

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✦ Synopsis

Detailed formulae for the convergence coeficients of the interval Newton

iteration procedure are given. These are generaIized to iterations satisfJ>ing a weak nonsingular systems property.

πŸ“œ SIMILAR VOLUMES

Relaxing Convergence Conditions for Newt
Relaxing Convergence Conditions for Newton's Method
✍ 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