Abstract
Under the hypothesis that the derivative satisfies some kind of weak Lipschitz condition, sharp estimates of the radii of convergence balls of Newton-like methods for operator equations are given in Banach space. New results can be used to analyze the convergence of other developed Newton iterative methods.
Citation
Jinhai Chen. Qingying Sun. "THE CONVERGENCE BALL OF NEWTON-LIKE METHODS IN BANACH SPACE AND APPLICATIONS." Taiwanese J. Math. 11 (2) 383 - 397, 2007. https://doi.org/10.11650/twjm/1500404696
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