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求解非线性互补问题的单纯同伦算法 被引量：1

Simplicial Homtopy Algorithm for Nonlinear Complementarity Problems
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摘要 在更弱的情况下,我们首先给出了非线性互补问题存在解的几个充分条件,然后给出一个求解的单纯同伦方法。 We have derived sufficient conditions which ensure the existence of solutions of nonlinear complementarity problems, a simplicial homtopy algorithm for nonlinear complementarity problems is established.
作者 范江华
机构地区 广西师范大学数学系
出处 《工程数学学报》 CSCD 北大核心 2006年第4期619-624,共6页 Chinese Journal of Engineering Mathematics
基金 广西青年科学基金(0007002).
关键词 非线性互补问题 不动点 单纯同伦算法 nonlinear complementarity problem fixed point simplicial homtopy algorithm
分类号 O224 [理学—运筹学与控制论] O241.5 [理学—计算数学]
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参考文献8

  • 1Ferris M C,Pang J S.Engineering and economic applications of complementarity problem[J].SIAM Review,1997,39(4):669-713
  • 2Isac G.Complementarity Problems[M].Berlin:Springer-Verlag,Lecture Notes in Math,1528,1990:16-138
  • 3Todd M J.The Computation of Fixed Points and Applications[M].New York:Springer-Verlag,1976:64-100
  • 4Kojima M,Yamamoto Y.Variable dimension algorithms,basic theory,interpretations and extensions of some methods[J].Math Prog,1982,24:177-215
  • 5Laan G van der,Talman A J J.Simplicial approximation of solutions to the nonlinear complementatity problem with lower and upper bounds[J].Math Prog,1987,38:1-15
  • 6陈开周,党创寅,杨再福.不动点理论和算法[M].西安:西安电子科技大学出版社,1990:136-284
  • 7范江华,黎培兴.Leray-Schauder不动点的计算[J].科学通报,1998,43(16):1723-1726. 被引量：3
  • 8黄正海,韩继业,徐大川,张立平.P_0函数非线性互补问题的非内部连续化算法[J].中国科学（A辑）,2001,31(6):488-494. 被引量：2

二级参考文献29

  • 1[1]Burke J, Xu S. The global linear convergence of a non-interior path-following algorithm for linear complementarity problems. Math Oper Res, 1998, 23(3): 719～734
  • 2[2]Chen B, Chen X. A global and local superlinear continuation-smoothing method for P0+R0 and monotone NCP. SIAM J Optim, 1999, 9(3): 624～645
  • 3[3]Chen B, Xiu N. A global linear and local quadratic non-interior continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing functions. SIAM J Optim, 1999, 9(3): 605～623
  • 4[4]Facchinei F, Kanzow C. Beyond monotonicity in regularization methods for nonlinear complementarity problems. SIAM J Control Optim, 1999, 37(4): 1150～1161
  • 5[5]Gowda M S, Tawhid M A. Existence and limiting behavior of trajectories associated with P0-equations. Comput Optim Appl, 1999, 12(1-3): 229～251
  • 6[6]Sun D. A regularization Newton method for solving nonlinear complementarity problems. Appl Math Optim, 1999, 40(3): 315～339
  • 7[7]Ravindran G, Gowda M S. Regularization of P0-functions in box variational inequality problems. SIAM J Optim, 2000, 11(3): 748～760
  • 8[8]Chen B, Harker P T. A non-interior-point continuation method for linear complementarity problem. SIAM J Matrix Anal Appl, 1993, 14(4): 1168～1190
  • 9[9]Billus S C, Dirkse S P, Ferris M C. A comparison of algorithms for large-scale mixed complementarity problems. Comput Optim Appl, 1997, 7(1): 3～25
  • 10[10]Kanzow C. Some noninterior continuation methods for linear complementarity problems. SIAM J Matrix Anal Appl, 1996, 17(4): 851～868

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工程数学学报
2006年 第4期

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