A line search filter approach for the system of nonlinear equations

作者：Nie, Pu yan^*; Lai, Ming yong; Zhub, Shu jin; Zhang, Pei ai

来源：Computers & Mathematics with Applications, 2008, 55(9): 2134-2141.

DOI：10.1016/j.camwa.2007.08.037

• optimization
• nonlinear programming
• equality constraints
• the system of nonlinear equations

Some constrained optimization approaches have been recently proposed for the system of nonlinear equations (SNE). Filter approach with line search technique is employed to attack the system of nonlinear equations in this paper. The system of nonlinear equations is transformed into a constrained nonlinear programming problem at each step, which is then solved by line search strategy. Furthermore, at each step, some equations are treated as constraints while the others act as objective functions, and filter strategy is then utilized. In essence, constrained optimization methods combined with filter technique are utilized to cope with the system of nonlinear equations.

• 出版日期2008-5
• 单位湖南大学; 暨南大学