文献类型：期刊文献

英文题名：A BFGS trust-region method for nonlinear equations

作者：Yuan, Gonglin[1];Wei, Zengxin[1];Lu, Xiwen[2]

机构：[1]Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China;[2]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

年份：2011

卷号：92

期号：4

起止页码：317

外文期刊名：COMPUTING

收录：;EI(收录号：20113714329513);WOS:【SCI-EXPANDED(收录号:WOS:000293642400003)】；

基金：This work is supported by China NSF grands 10761001, the Scientific Research Foundation of Guangxi University (Grant No. X081082), and Guangxi SF grands 0991028.

语种：英文

外文关键词：Trust region method; BFGS update; Global convergence; Nonlinear equations

摘要：In this paper, a new trust-region subproblem combining with the BFGS update is proposed for solving nonlinear equations, where the trust region radius is defined by a new way. The global convergence without the nondegeneracy assumption and the quadratic convergence are obtained under suitable conditions. Numerical results show that this method is more effective than the norm method.