A second-derivative-free modified Secant-like method with order 2.732 ... for unconstrained optimization

作者：Ren Hongmin^*

来源：Applied Mathematics and Computation, 2008, 202(2): 688-692.

DOI：10.1016/j.amc.2008.03.007

• unconstrained optimization
• iterative method
• modified secant-like method
• second-derivative-free
• convergence order

A second-derivative-free modified Secant-like method for solving univariate and unconstrained optimization problems is presented. The new method is proved to have convergence order of 2: 732... which is better than the convergence order of 2: 414... of the method proposed recently by Kahya [ E. Kahya, Modified Secant-type methods for unconstrained optimization. Appl. Math. Comput. 181 (2006) 1349-1356]. Numerical examples are also provided which show that the new method is better than the old one.

• 出版日期2008-8-15