Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640717 | Journal of Computational and Applied Mathematics | 2010 | 8 Pages |
Abstract
Systems of nonlinear equations are ubiquitous in engineering, physics and mechanics, and have myriad applications. Generally, they are very difficult to solve. In this paper, we will present a filled function method to solve nonlinear systems. We will first convert the nonlinear systems into equivalent global optimization problems with the property: x∗x∗ is a global minimizer if and only if its function value is zero. A filled function method is proposed to solve the converted global optimization problem. Numerical examples are presented to illustrate our new techniques.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Youjiang Lin, Yongjian Yang,