期刊文献+

序列二次规划方法为变分不等式问题提供的全局误差界

A global error bound with SQP method for variational inequality problem
下载PDF
导出
摘要 针对变分不等式问题,利用序列二次规划方法,定义了一个价值函数.在强单调的条件下,利用价值函数,为变分不等式问题的可行解与最优解之间的距离提供了一个全局误差界. In this paper, we define a cost function by utilizing sequential quadratic programming method for variational inequality problems. Under the strong monotonicity assumption, the cost function can provide a global error bound for the distance between the feasible point to the optimal solution set.
出处 《山东理工大学学报(自然科学版)》 CAS 2012年第4期30-33,共4页 Journal of Shandong University of Technology:Natural Science Edition
基金 国家自然科学基金资助项目(10971118)
关键词 变分不等式 SQP子问题 价值函数 强单调 误差界 variational inequalities subproblem of SQP cost function strong monotonically bounded error
  • 相关文献

参考文献12

  • 1Polyak B T. Introduction to optimization [M], Translation series inMathematics and Engineering, New York: Optimization Software Inc,1987.
  • 2Powell M J D. A method for nonlinear constraints in minimiza-tion problem[M]. In Optimization, New York: R. Fletcher Ed,Academic Press, 1969? 283-298.
  • 3袁亚湘 孙文渝.最优化理论与方法[M].北京:科学出版社,1999..
  • 4Vandenberghe U Optimization methods for large-scale systems[EB/OL].[2011-03-28] http://www. ee. ucla. edu/~vandenbe/ee236c. html.
  • 5Nagurney A. A variational inequalities approach[M]. Dordrecht :Kluwer Academic Publishers, 1999.
  • 6Al-Khayyal F A, Kyparisis J. Finite convergence of algorithmsfor nonlinear programs and variational inequalities [J]. Journalof Optimization Theory and Applications, 1991,70(20): 319-332.
  • 7Auchmuty G. Variational principles for variational inequalities[J]. Numerical Functional Analysis and Optimization, 1989,10:863-874.
  • 8Marcotte P,Zhu D. Weak sharp solutions of variational inequalities[J],SIAM Journal on Optimization,1998,9:179-189.
  • 9Burke J V. A Sequential Quadratic Programming method for po-tentially infeasible mathematical programs [J]. Journal of Math-ematical Analysis and Applications* 1989(2) :319-351.
  • 10Fukushima M, Luo Z Q,Pang J S. A Globally SQP algorithmfor mathematical programs with linear complementarily con-straints[J]. Computational Optimization and Applications, 1998?1):5-34.

共引文献68

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