APPLIED MATHEMATICS AND COMPUTATION, vol.186, no.2, pp.1000-1004, 2007 (SCI-Expanded)
Article / Article
APPLIED MATHEMATICS AND COMPUTATION
Science Citation Index Expanded (SCI-EXPANDED), Scopus
unconstrained optimization, univariate optimization, Secant method, test functions, NEWTONS METHOD, ALGORITHM, VARIANT
Eskisehir Osmangazi University Affiliated:
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. (c) 2006 Elsevier Inc. All rights reserved.