期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

对称锥互补问题的一个惩罚NR函数的水平有界性 被引量：1

Level-boundedness of the Penalized NR Function for Symmetric Cone Complementarity Problem
下载PDF
导出
摘要 建立了一个对称锥互补问题的惩罚自然剩余函数,基于一个若当代数迹不等式,在一个较弱条件下证明了其相应势函数的水平有界性. We establish a penalized natural function for symmetric cone complementarity problems and use a trace inequality on Euclidean Jordan algebras to show the level-boundedness of its merit function under a weak condition.
作者 张运胜 高雷阜
机构地区 辽宁工程技术大学理学院
出处 《应用泛函分析学报》 CSCD 2013年第4期337-341,共5页 Acta Analysis Functionalis Applicata
基金 教育部高校博士学科点专项科研基金(20102121110002)
关键词 对称锥互补问题 水平有界性 迹不等式 R01函数 symmetric cone complementarity problem level-boundedness trace inequality R_(01)function
分类号 O224 [理学—运筹学与控制论]
  • 相关文献

参考文献2

二级参考文献16

  • 1Tao J. and Gowda, M.S., Some P-properties for nonlinear transformations on Euclidean Jordan algebras, Math. Oper. Res., 2005, 30: 985-1004.
  • 2Yoshise, A., Interior point trajectories and a homogeneous model for nonlinear complementarity problems over symmetric cones, SIAM Jonrnal on Optimization, 2006, 17: 1129-1153.
  • 3Chen X.D., Sun D. and Sun J., Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems, Comput. Optim. Appl., 2003, 25: 39- 56.
  • 4Facchinei, F. and Pang J.-S., Finite-Dimensional Variational Inequalities and Complementarity Problems, Volume I and II, New York: Springer-Verlag, 2003.
  • 5Faraut, J. and Koranyi, A., Analysis on Symmetric Cones, New York: Oxford University Press, 1994.
  • 6Faybusovich, L., Euclidean Jordan algebras and interior-point algorithms, Positivity, 1997, 1: 331-357.
  • 7Gowda, M.S., Sznajder, R. and Tao J., Some P-properties for linear transformations on Euclidean Jordan algebras, Linear Algebra and Its Applications, 2004, 393: 203-232.
  • 8Gowda, M.S. and Sznajder, R., Automorphism invariance of P and GUS properties of linear transforma- tions on Euclidean Jordan algebras, Math. Oper. Res., 2006, 31: 109-123.
  • 9Koecher, M., The Minnesota Notes on Jordan Algebras and Their Applications, edited and annotated by A. Brieg and S. Walcher, Berlin: Springer, 1999.
  • 10Kong L.C. and Xiu N.H., New smooth C-functions for symmetric cone complementarity problems, Optimization Letters, 2007, 1: 391-400.

共引文献7

同被引文献21

  • 1柯小伍,韩继业.一类新的信赖域算法的全局收敛性[J].应用数学学报,1995,18(4):608-615. 被引量：31
  • 2李改弟.一个自动确定信赖域半径的信赖域方法[J].工程数学学报,2006,23(5):843-848. 被引量：28
  • 3修乃华,韩继业.对称锥互补问题[J].数学进展,2007,36(1):1-12. 被引量：7
  • 4Zheng-Hai Huang,Tie Ni.Smoothing algorithms for complementarity problems over symmetric cones[J]. Computational Optimization and Applications . 2010 (3)
  • 5Xiao-Hong Liu,Zheng-Hai Huang.A smoothing Newton algorithm based on a one-parametric class of smoothing functions for linear programming over symmetric cones[J]. Mathematical Methods of Operations Research . 2009 (2)
  • 6Shao-Ping Rui,Cheng-Xian Xu.A smoothing inexact Newton method for nonlinear complementarity problems[J]. Journal of Computational and Applied Mathematics . 2009 (9)
  • 7Liang Fang,Guoping He,Yunhong Hu.A new smoothing Newton-type method for second-order cone programming problems[J]. Applied Mathematics and Computation . 2009 (3)
  • 8Defeng Sun,Jie Sun.Strong Semismoothness of the Fischer-Burmeister SDC and SOC Complementarity Functions[J]. Mathematical Programming . 2005 (3)
  • 9Jos F. Sturm.Using SeDuMi 1.02, A Matlabtoolbox for optimization over symmetric cones[J]. Optimization Methods and Software . 1999 (1-4)
  • 10Leonid Faybusovich.Euclidean Jordan Algebras and Interior-point Algorithms[J]. Positivity . 1997 (4)

引证文献1

应用泛函分析学报
2013年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部