Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632557 | Applied Mathematics and Computation | 2009 | 11 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiubin Xu, Yonghui Ling,