垂直线性互补问题解集结构和误差界On the Representation of Solution Set and the Error Bound for the Vertical Linear Complementarity Problem
孙洪春,王蕾,王宜举
摘要(Abstract)：
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.
关键词(KeyWords)： 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
基金项目(Foundation): 山东省自然科学基金资助项目(Y2003A02)
作者(Author): 孙洪春,王蕾,王宜举
DOI: 10.16393/j.cnki.37-1436/z.2005.02.001
参考文献(References)：
- [1] CottleRW,PANGJS,StoneRE.TheLinearComplementarityProblem[M].AcademicPress,NewYork,NY,1992.
- [2] FacchineiF,PANGJS.Finite DimensionalVariationalInequalitiesandComplementarityProblems[M].Springer,New York,2003.
- [3] WANGYJ.Anewprojectionandcontractionmethodforvariationalinequalities[J].PureMathematicsandApplications,2002,13(4):483-493.
- [4] PANGJS.Errorboundsinmathematicalprogramming[J].MathematicalProgramming,1997,(79):299-332.
- [5] MangasarianOL,RENJ.Newimprovederrorboundforthe linearcomplementarityproblem[J].MathematicalProgram ming,1994,66:241-255.
- [6] ZHANGJZ,XIUNH.Globals typeerrorboundforex tendedlinearcomplementarityproblemandapplications[J].MathematicalProgramming,2000,88(2),Ser.B:391-410.
- [7] XIUNH,ZHANGJZ.Globalprojection typeerrorbound forgeneralvariationalinequalities[J].JournalofOptimization TheoryandApplications,2002,112(1):213-228.
- [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.