BFGS trust-region method for symmetric nonlinear equations

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摘要

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.

论文关键词:65K05,65H10,90C26,Trust region method,BFGS update,Global convergence,Nonlinear equations

论文评审过程:Received 19 March 2006, Revised 25 October 2008, Available online 5 November 2008.

论文官网地址:https://doi.org/10.1016/j.cam.2008.10.062