| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4646249 | Applied Numerical Mathematics | 2007 | 7 Pages |
Abstract
A new semilocal convergence result of Newton–Kantorovich type for the Halley method is presented, where a new technique is provided to analyze the semilocal convergence. The usual convergence conditions are relaxed, since the second derivative F″ of a nonlinear operator F satisfies ‖F″(x0)‖⩽α instead of ‖F″(x)‖⩽M, for all x in a subset of the domain of F, where α and M are positive real constants.
Related Topics
Physical Sciences and Engineering
Mathematics
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