A Novel Filled Function Method for Nonlinear Equations. (12th June 2014)

• Record Type: Journal Article
• Authors: Yuan, Liuyang; Tang, Qiuhua
• Other Names: Huang Nan-Jing Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-06-12
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/247519
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : A novel filled function method is suggested for solving box-constrained systems of nonlinear equations. Firstly, the original problem is converted into an equivalent global optimization problem. Subsequently, a novel filled function with one parameter is proposed for solving the converted global optimization problem. Some properties of the filled function are studied and discussed. Finally, an algorithm based on the proposed novel filled function for solving systems of nonlinear equations is presented. The objective function value can be reduced by quarter in each iteration of our algorithm. The implementation of the algorithm on several test problems is reported with satisfactory numerical results.