文章基本信息

标题：A LIMITED MEMORY BFGS ALGORITHM WITH SUPER RELAXATION TECHNIQUE FOR NONLINEAR EQUATIONS
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作者：GONGLIN YUAN ; ZENGXIN WEI ; YONG LI 等
期刊名称：Journal of Theoretical and Applied Information Technology
印刷版ISSN：1992-8645
电子版ISSN：1817-3195
出版年度：2013
卷号：48
期号：2
页码：1202-1209
出版社：Journal of Theoretical and Applied
摘要：In this paper, a trust-region algorithm combining with the limited memory BFGS (L-BFGS) update is proposed for solving nonlinear equations, where the super relaxation technique(SRT) is used. We choose the next iteration point by SRT. The global convergence without the nondegeneracy assumption is obtained under suitable conditions. Numerical results show that this method is very effective for large-scale nonlinear equations problems.
关键词：Algorithm; L-BFGS Update; Super Relax; Nonlinear Equations