期刊文献+

变分不等式可行解的一个全局误差估计

A global error bound for the feasible solution of variational inequality problems
下载PDF
导出
摘要 对变分不等式问题定义了信赖域子问题的最优值函数,研究了最优值函数的性质,并在强单调的条件下,利用最优值函数为可行解进行了一个全局误差估计. As for variational inequality problems,we define the optimal value function of trust region subproblems,study the properties of this function.And then under strongly monotonic conditions,we use the optimal value function to provide a global error estimate for the feasible solution.
出处 《山东理工大学学报(自然科学版)》 CAS 2011年第5期28-32,共5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 最优值函数 强单调 误差估计 variational inequality optimal value function strongly monotone error estimate
  • 相关文献

参考文献12

  • 1袁亚湘,孙文瑜著..最优化理论与方法[M].北京:科学出版社,1997:640.
  • 2Polyak B T.Introduction to optimization. Translation se-ries in Mathematics and Engineering . 1987 被引量:1
  • 3Vandenberghe L.Optimization methods for large-scale sys-tems. http://www.ee.ucla.edu/-van-denbe/ee236c.html . 2011 被引量:1
  • 4Nagurney A.A variational inequalities approach. . 1999 被引量:1
  • 5Zhang J L,,Wang Y.A new trust region method for nonlinearequations. MMOR . 2003 被引量:1
  • 6Auchmuty G.Variational principles for variational inequalities. Numerical Functional Analysis and Optimization . 1989 被引量:1
  • 7Marcotte, P,Zhu, D.Weak sharp solutions of variational inequalities. SIAM Journal of Optimization . 1998 被引量:1
  • 8Powell,M. J. D.On the global convergence of trust region algorithms for unconstrained optimization. Mathematical Programming . 1984 被引量:1
  • 9Sartenaer,A.Automatic determination of an initial trust region in nonlinear programming. SIAM Journal on Scientific Computing . 1997 被引量:1
  • 10Shultz,G.A.,Schnabel,R.B.,Byrd,R.H.A family of trust-region-based algorithms for unconstrained minimization. SIAM Journal on Numerical Analysis . 1985 被引量:1

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