The Secant method for nondifferentiable operators
2002, Applied Mathematics Letters
https://doi.org/10.1016/S0893-9659(01)00150-1…
5 pages
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Abstract
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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