Métodos Tipo Secante Y Su Aplicación a Operadores No Diferenciables
نویسنده
چکیده
In this work we study a class of Secant-like iterations for solving nonlinear and non-differentiable equations in Banach spaces. We consider a condition for divided differences which generalizes those usual ones, i.e, Lipschitz continuous and Hölder continuous conditions. A semilocal convergence result is obtained. For that, we use a technique based on a new system of recurrence relations to obtain domains of existence and uniqueness of the solution. Finally, we apply the result obtained to a numerical example.
منابع مشابه
Convergence Conditions for the Secant Method
We provide new sufficient convergence conditions for the convergence of the Secant method to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, Lipschitz–type and center–Lipschitz–type instead of just Lipschitz–type conditions on the divided difference of the operator involved. It turns out that this way our error bounds are more precise ...
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