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Relaxing Convergence Conditions for Newton's Method

✍ Scribed by M.A. Hernández

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
100 KB
Volume
249
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 point x .

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