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Semilocal convergence of the secant method under mild convergence conditions of differentiability

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

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
548 KB
Volume
44
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Holder continuous conditions. Also, we obtain a result for uniqueness of solutions.

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