BFGS trust-region method for symmetric nonlinear equations

Authors:
Gonglin Yuan;Xiwen Lu;Zengxin Wei
Affiliations:
College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, PR China;School of Science, East China University of Science and Technology, Shanghai, 200237, PR China;College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this paper, we propose a BFGS trust-region method for solving symmetric nonlinear equations. The global convergence and the superlinear convergence of the presented method will be established under favorable conditions. Numerical results show that the new algorithm is effective.