推广线搜索下一类共轭梯度法的全局收敛性(英文)Global convergence for a class of conjugategradient methods with relaxed line search
杜守强,陈元媛
摘要(Abstract):
在推广线搜索下给出了一类共轭梯度法的全局收敛结果
关键词(KeyWords): 共轭梯度法;无约束优化;推广线搜索
基金项目(Foundation): 国家自然科学基金 ( 10 1710 5 5 )
作者(Author): 杜守强,陈元媛
参考文献(References):
- [1] FletcherR.Practical methods for optimization[M].Vol.1:UnconstrainedOptimization,NewYork,1987.
- [2] FletcherR,ReevesC.Function minimization by conjugate gradients[J].Comput.J.,1964(7):149~154.
- [3] DaiY H,YuanY.A nonlinear convergence gradientmethod with a strong global convergence property[J].SIAM J.Optim.,1999,10(1):177~182.
- [4] L iuG H,HanJY andYinH.Global convergence of theFletcher-Reeves algorithm with inexact linesearch[J].Appl.Math.JCU 10B,1995(10),75~82.
- [5] DaiY H,YuanY.Convergence properties of theFletcher-Reeves method[J].IMA J.Numer.Anal.1996,16(2):155~164.
- [6] DaiY H.Conjugate gradient methods withArmijo- type line search[J].ActaMathematicalApplicateSinica,English series.2002,18(1):123~130.
- [7] WangC Y,ZhangY Z.Global convergence properties of s- related conjugate gradient methods[J].ChineseScienceBulletin.1998,43(23):1959~1965
- [8] GuoC H,TangH W andZhangL .Global convergence for a class of conjugate gradient methods[J].OR Transactions.1999,3(2):46~49