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垂直线性互补问题解集结构和误差界 被引量:1

On the Representation of Solution Set and the Error Bound for the Vertical Linear Complementarity Problem
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摘要 在适当假设下,借助仿射变分不等式问题解的特点,给出了垂直线性互补问题解集结构,并由此对其绝对误差界和相对误差界进行了探讨. In this paper, under suitable conditions, we provide the representation of the solution set for the vertical linear complementarity problem (VLCP) via the properties of affine variational inequalities problem. And the global absolute and relative error bound for VLCP are also explored in this paper, respectively.
出处 《菏泽学院学报》 2005年第2期1-4,78,共5页 Journal of Heze University
基金 山东省自然科学基金资助项目(Y2003A02)
关键词 垂直线性互补问题 仿射变分不等式问题 绝对误差界 相对误差界 VLCP affine variational inequalities problem absolute error bound relative error bound
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参考文献8

  • 1[1]Cottle R W, PANG J S, Stone R E. The Linear Complementarity Problem[M]. Academic Press, New York, N Y,1992.
  • 2[2]Facchinei F , PANG J S. Finite-Dimensional Variational Inequalities and Complementarity Problems[M]. Springer, New York, 2003.
  • 3[3]WANG Y J. A new projection and contraction method for variational inequalities[J]. Pure Mathematics and Applications,2002, 13(4): 483 - 493.
  • 4[4]PANG J S. Error bounds in mathematical programming[ J ].Mathematical Programming, 1997, (79): 299 - 332.
  • 5[5]Mangasarian O L, REN J. New improved error bound for the linear complementarity problem[J ]. Mathematical Programming, 1994, 66:241 - 255.
  • 6[6]ZHANG J Z , XIU N H. Global s-type error bound for extended linear complementarity problem and applications [ J ].Mathematical Programming, 2000, 88(2), Ser. B: 391 -410.
  • 7[7]XIU N H , ZHANG J Z. Global projection-type error bound for general variational inequalities[J]. Journal of Optimization Theory and Applications, 2002, 112(1): 213 -228.
  • 8[8]王宜举,修乃华.非线性规划的理论和方法[M].西安:陕西科技出版社,2004.

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