Article ID Journal Published Year Pages File Type
4632557 Applied Mathematics and Computation 2009 11 Pages PDF
Abstract

The semilocal convergence properties of Halley’s method for nonlinear operator equations are studied under the hypothesis that the second derivative satisfies some weak Lipschitz condition. The method employed in the present paper is based on a family of recurrence relations which will be satisfied by the involved operator. An application to a nonlinear Hammerstein integral equation of the second kind is provided.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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