A multiplicative multisplitting method for solving the linear complementarity problem

نویسندگان

  • Haijian Yang
  • Qingguo Li
چکیده

The convergence of the multiplicative multisplitting-type method for solving the linear complementarity problem with an H-matrix is discussed using classical and new results from the theory of splitting. This directly results in a sufficient condition for guaranteeing the convergence of the multiplicative multisplitting method. Moreover, the multiplicative multisplitting method is applied to the H-compatible splitting and the multiplicative Schwarz method, separately. Finally, we establish the monotone convergence of the multiplicative multisplitting method under appropriate conditions. © 2009 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 58  شماره 

صفحات  -

تاریخ انتشار 2009