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Majorizing functions and two-point Newton-type methods

✍ Scribed by Jinhai Chen; Ioannis K. Argyros; Ravi P. Agarwal


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
357 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis


The semi-local convergence of a Newton-type method used to solve nonlinear equations in a Banach space is studied. We also give, as two important applications, convergence analyses of two classes of two-point Newton-type methods including a method mentioned in [5] and the midpoint method studied in . Recently, interest has been shown in such methods .


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