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On a Convex Acceleration of Newton's Method

✍ Scribed by J. A. Ezquerro; M. A. Hernández


Book ID
110410717
Publisher
Springer
Year
1999
Tongue
English
Weight
595 KB
Volume
100
Category
Article
ISSN
0022-3239

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We introduce a new two-step method to approximate a solution of a nonlinear operator equation in a Banach space. An existence-uniqueness theorem and error estimates are provided for this iteration using Newton-Kantorovich-type assumptions and a technique based on a new system of recurrence relations