Operations Research Transactions ›› 2015, Vol. 19 ›› Issue (1): 45-56.

• Original Articles • Previous Articles     Next Articles

A hybrid method for a system of nonlinear equations with bound constraints

LIU Yuanwen1, OU Yigui1,*   

  1. 1. College of Information Science and Technology, Hainan University, Haikou 570228, China
  • Received:2014-04-09 Online:2015-03-15 Published:2015-03-15

Abstract: Based on the nonmonotone technique and the Levenberg-Marquard method, this paper presents a new hybrid method for solving a system of nonlinear equations with bound constraints. Under some reasonable assumptions, the proposed algorithm is proven to be globally convergent. Preliminary numerical results indicate that this algorithm is effective.

Key words: nonlinear equations, bound constraints, nonmonotone technique, Levenberg-Marquard method, numerical experiment

CLC Number: