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  • 标题:A LIMITED MEMORY BFGS ALGORITHM WITH SUPER RELAXATION TECHNIQUE FOR NONLINEAR EQUATIONS
  • 本地全文:下载
  • 作者:GONGLIN YUAN ; ZENGXIN WEI ; YONG LI
  • 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
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