Relaxing Convergence Conditions for Newt
β
M.A. HernΓ‘ndez
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Article
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2000
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Elsevier Science
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English
β 100 KB
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