期刊文献+

一种改进的DY-型共轭梯度法的全局收敛性

The Global Convergence Property of An Improved Dy-conjugate Gradient Method
下载PDF
导出
摘要 利用张秀军等人提出的一种新型线搜索条件对新的DY-型共轭梯度法进行了研究.根据这一新型线搜索条件,提出了一个求解非线性无约束优化问题的算法,并证明了算法的全局收敛性. In this paper, based on the new line search condition proposed by Zhan, a new kind of Dy-conjugate gradient method was studied. Under the new line search condition, the method with global convergence for solving nonlinear unconstrained optimization was proposed.
出处 《玉林师范学院学报》 2007年第3期11-13,共3页 Journal of Yulin Normal University
基金 玉林师范学院科研项目(2006YJY30)资助
关键词 无约束优化 共轭梯度法 线搜索 全局收敛性 unconstrained optimization conjugate gradient method line search global convergence property
  • 相关文献

参考文献9

  • 1[1]Hestenes M R,Stiefel E.Method of conjugate gradient for solving linear equations[J].J Res Nat Bur Stand,1952,5(49):409-436. 被引量:1
  • 2[2]Fletcher R,Reeves C.Function minimization by conjugate gradients[J].Compute J,1964,7:149-154. 被引量:1
  • 3[3]Polak E,Ribiere G.Note Sur la convergence de directions conjugees[J].Rev Francaise Informat Recherche Operationelle,3e Annee,1969,16:35-43. 被引量:1
  • 4[4]Polyak B T.The conjugate gradient method in extreme problems[J].USSR Comp Math and Math phys,1969,9:94-112. 被引量:1
  • 5[5]Fletcher R.practical method of optimization,Vol Ⅰ:unconstrained optimization[M].2nd edition.New York:Wiley,1987. 被引量:1
  • 6[6]Liu Y,Storey C.Efficient gemeralized conjugate gradient algorithms,Part 1:theory[J].Journal of Optimization Theory and Application,1992,69:129-137. 被引量:1
  • 7[7]Dai Y Yuan Y.A nonlinear conjugate gradient with a strong global convergence properties[J].SIAM Journal of optimization,1999,10(1):177-182. 被引量:1
  • 8张秀军,徐安农,李安坤,蒋利华.改进的共轭梯度法及其收敛性[J].桂林电子工业学院学报,2005,25(6):64-67. 被引量:7
  • 9蒙诗德,刘利英,吴庆军,黄宏波.一类新的DY-型共轭梯度法的全局收敛性[J].广西科学,2006,13(4):276-278. 被引量:4

二级参考文献12

  • 1Fletcher R,Reeves C.Function minimization by conjugate gradients[J].Comput J,1963,7:163-168. 被引量:1
  • 2Polak E,Ribiere G.Non sur la convergence de directions conjugates[J].Rev.Francaise Informat Recherche opertionelle,3e Annee,1969,16:35-43. 被引量:1
  • 3Polyak B T.The conjugate gradient method in extreme problems[J].USSR comp Math and Math.Phys,1969,9:94-112. 被引量:1
  • 4Hestenes M R,Stiefel E L.Methods of conjugate gradients for solving linear systems[J].J Res Nat Bur standards Sect.1952,5(49):409-436. 被引量:1
  • 5Fletcher R.Practical methods of optimization[M].Wiley-Interscience,NY,1987(2nd):63-76. 被引量:1
  • 6戴虹 袁亚湘.非线性共轭梯度法[M].上海:上海科学技术出版社,2001.67-82. 被引量:1
  • 7Al-Baali M.Descent and global convergence of the Fletcher-Reeves method with inexact line searches[J].IMA Journal of Numerical Analysis,1985,5(1):121-124. 被引量:1
  • 8Touati-Ahmed D,Storey C.Globally convergent hybrid conjugate gradient methods[J].Journal of Optimization Theory and Applications,1990,64(2):379-397. 被引量:1
  • 9Gripo L,Lucidi S.A globally convergent version of the Polak-Ribiere conjugate gradient method[J].Mathematical Programming,1997,(78):375-391. 被引量:1
  • 10Gilbert J C,Nocedal J.Global convergence properties of conjugate gradient methods for optimization[J].SIAM J.Optimization,1992,(2):21-42. 被引量:1

共引文献8

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