Convergence of Newton's method for convex best interpolation
β Scribed by Asen L. Dontchev; Houduo Qi; Liqun Qi
- Publisher
- Springer-Verlag
- Year
- 2001
- Tongue
- English
- Weight
- 167 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
The classical Kantorovich theorem on Newton's method assumes that the first 5 w Ε½ . derivative of the operator involved satisfies a Lipschitz condition β« FΠ x y 0 Ε½ .x5 5 5 FΠ y F L x y y . In this paper, we weaken this condition, assuming that 5 w Ε½ . Ε½ .x5 Ε½5 5 . β« FΠ x y FΠ x F x y x for a given
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