Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635061 | Applied Mathematics and Computation | 2007 | 6 Pages |
Abstract
In this paper, we present a family of new Newton-like methods, which removes the severe condition fâ²(x)â 0 in a neighborhood of the required root imposed on Newton's method. The new methods are quadratically convergent and moreover, have the same error equation as Newton's method. The detailed analysis of convergence is supplied. The numerical results show that the new methods have definite practical utility.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jisheng Kou, Yitian Li,