 |
||||||||
| Volume 4, Number 1, January 2008, pp. 9-18 | ||||||||
|
F.S. Bai, M. Mammadov, Z.Y.Wu and Y.J. Yang
|
||||||||
| Key words: | ||||||||
| constrained system of nonlinear equations, global optimization, filled function method | ||||||||
| Mathematices Subject Classification: 65H10, 65H20, 65K05 | ||||||||
|
||||||||||||||||||||||||||||||||||||||||
| Abstract: | |||
| We consider the problem of solving a constrained system of nonlinear equations. After reformulating the system into an equivalent constrained global optimization problems, we construct a filled function based on a special property of the reformulated problem. A filled function method is then proposed to solve the constrained system of nonlinear equations. Some numerical examples are presented to illustrate the usefulness of the present techniques. | |||
| A filled function method for constrained nonlinear equations | ||