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  • 标题:Efficient matrix-free direction method with line search for solving large-scale system of nonlinear equations
  • 本地全文:下载
  • 作者:Halilu, Abubakar Sani ; Waziri, Mohammed Yusuf ; Yusuf, Ibrahim
  • 期刊名称:Yugoslav Journal of Operations Research
  • 印刷版ISSN:0354-0243
  • 电子版ISSN:1820-743X
  • 出版年度:2020
  • 卷号:30
  • 期号:4
  • 页码:399-412
  • DOI:10.2298/YJOR160515005H
  • 出版社:Faculty of Organizational Sciences, Belgrade, Mihajlo Pupin Institute, Belgrade, Economics Institute, Belgrade, Faculty of Transport and Traffic Engineering, Belgrade, Faculty of Mechanical Engineering, Belgrade
  • 摘要:We proposed a matrix-free direction with an inexact line search technique to solve system of nonlinear equations by using double direction approach. In this article, we approximated the Jacobian matrix by appropriately constructed matrix-free method via acceleration parameter. The global convergence of our method is established under mild conditions. Numerical comparisons reported in this paper are based on a set of large-scale test problems and show that the proposed method is efficient for large-scale problems.
  • 关键词:Acceleration Parameter; Matrix-free; Inexact Line Search; Jacobian Matrix
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