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2007 THE CONVERGENCE BALL OF NEWTON-LIKE METHODS IN BANACH SPACE AND APPLICATIONS
Jinhai Chen, Qingying Sun
Taiwanese J. Math. 11(2): 383-397 (2007). DOI: 10.11650/twjm/1500404696

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

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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

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1141.65036
MathSciNet: MR2333353
Digital Object Identifier: 10.11650/twjm/1500404696

Subjects:
Primary: 65H10

Keywords: affine invariant condition , convergence ball , Lipschitz condition , Newton-like methods

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 2 • 2007
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