A global convergent quasi-Newton method for systems of monotone equations

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• 作者：Zixin Chen (1)
  Wanyou Cheng (2)
  Xiaoliang Li (2)
  
• 关键词：Monotone equations ; Hyperplane projection method ; Global convergence ; 90C25 ; 90C33
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2014
• 出版时间：February 2014
• 年：2014
• 卷：44
• 期：1-2
• 页码：455-465
• 全文大小：425 KB
• 作者单位：Zixin Chen (1)
  Wanyou Cheng (2)
  Xiaoliang Li (2)
  
  1. College of City, Dongguan University of Technology, Dongguan, 523808, China
  2. College of Computer, Dongguan University of Technology, Dongguan, 523808, China
  
• ISSN：1865-2085

文摘

In this paper, we propose a quasi-Newton method for solving systems of monotone equations. The method is a combination of the Broyden method and the hyperplane projection method. Under appropriate conditions, we prove that the proposed method is globally convergent. Preliminary numerical results show that the proposed method is promising.