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The Secant method for nondifferentiable operators

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

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 303 KB
Volume: 15
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(01)00150-1

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✦ Synopsis

m this paper, we use the Secant method to find a solution of a nonlinear operator equation in Banach spaces. A semilocal convergence result is obtained. For that, we consider a condition for divided differences which generalizes the usual once, i.e., Lipschitz continuous or Hiilder continuous conditions. Besides, we apply our results to approximate the solution of a nonlinear equation.

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