Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (2): 146-153.

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The Successive Approximation Broyden-like Algorithm for Nonlinear Complementarity Problems

  

  1. 1. Department of Computational Science and Applied Physics, Guilin Institute of Electronic Technology, Guilin 541004, China; 2. Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing 100080, China
  • Received:2001-07-30 Online:2003-06-30 Published:2024-04-15
  • About author:MA Chang-feng(1962-),male,native of Longhui,Hunan,an associate professor of Guilin Institute of Elec- tronic Technology,Ph.D.,engages in numerical method of optiminization and numerical solution to partial differential equation; LlANG Guo-ping(1938-),male,native of Fushan,Guangdong,a profesor of Chinese Academy of Science,Ph.D.,engages in finite element alalysis.

Abstract: In  this  paper,we  present   a  new   form   of  succesive   approximation   Broyden-like   algorithm   for nonlinear complementarity problem based on its equivalent nonsmooth equations.Under suitable condi- tions,we   get   the   global   convergence   on   the   algorithms.Some   numerical   results   are   also   reported.

Key words: nonlinear complementarity problem;successive approximation;Broyden-like algorithm;
global ,
 convergence

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