Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471151 | Computers & Mathematics with Applications | 2009 | 9 Pages |
Abstract
In this paper, we present two new families of iterative methods for multiple roots of nonlinear equations. One of the families require one-function and two-derivative evaluation per step, and the other family requires two-function and one-derivative evaluation. It is shown that both are third-order convergent for multiple roots. Numerical examples suggest that each family member can be competitive to other third-order methods and Newton’s method for multiple roots. In fact the second family is even better than the first.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Changbum Chun, Hwa ju Bae, Beny Neta,