| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4636436 | Applied Mathematics and Computation | 2007 | 8 Pages |
Abstract
In this paper, making use of an integral inequality, a necessary and sufficient condition is given for a point to be a global minimizer. Based on the integral inequality, a novel integral-form algorithm is proposed for unconstrained global optimization. It is different from the other deterministic global search algorithm. Under mild conditions it is proved that, in theory, a global minimizer of the objective function can be certainly found by the presented algorithm. In order to indicate the efficiency and reliability of the method, four numerical examples are reported.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yongjian Yang, Xuewu Du, Mingming Li,