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The convergence ball of Newton's method and the uniqueness ball of equations under Hölder-type continuous derivatives

✍ Scribed by Zhengda Huang

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 287 KB
Volume: 47
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(04)90021-1

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✦ Synopsis

Under the hypotheses that nonlinear operators have (K,p)-Htilder-type continuous derivatives, exact estimates of the radius of the convergence ball of Newton's method and of the uniqueness ball of solution of equations are obtained.

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