A new backtracking inexact BFGS method for symmetric nonlinear equations

作者：Yuan Gonglin^*; Lu Xiwen

来源：Computers & Mathematics with Applications, 2008, 55(1): 116-129.

DOI：10.1016/j.camwa.2006.12.081

• BFGS method
• line search
• symmetric nonlinear equations
• global convergence
• superlinear convergence

A BFGS method, in association with a new backtracking line search technique, is presented for solving symmetric nonlinear equations. The global and superlinear convergences of the given method are established under mild conditions. Preliminary numerical results show that the proposed method is better than the normal technique for the given problems.

• 出版日期2008-1
• 单位华东理工大学