| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4636535 | Applied Mathematics and Computation | 2007 | 5 Pages |
Abstract
In this study, a modification of the classical Secant method for solving nonlinear, univariate and unconstrained optimization problems based on the development of the cubic approximation is presented. The iteration formula including an approximation of the third derivative of f(x) by using the Taylor series expansion is derived. The performance of the new method is analyzed in terms of the number of iterations in comparison with the Secant methods using six test functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Emin Kahya, Jinhai Chen,