Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635057 | Applied Mathematics and Computation | 2007 | 7 Pages |
Abstract
In this paper, we present some new variants of Cauchy's method, in which the second derivative is replaced by a finite difference between the first derivatives. Analysis of convergence shows that the new methods have fourth-order convergence. Per iteration the new methods require one evaluations of the function and two of its first derivative. Numerical results show that the new methods are efficient.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jisheng Kou,