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无约束优化问题的一种新的共轭梯度法(英文) 被引量:3

A new conjugate gradient method for unconstrained optimization
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摘要 为了求解无约束优化问题,提出了一种新的共轭梯度法,并证明了其在适当的条件下满足全局收敛性.初步的数值结果表明新的共轭梯度法是有效的. A new conjugate gradient (CG) method is established to solve unconstrained optimization problems. And its global convergence property is proved under some suitable conditions. Preliminary numerical result shows that the new CG method is efficient.
出处 《广西大学学报(自然科学版)》 CAS CSCD 2007年第4期336-340,共5页 Journal of Guangxi University(Natural Science Edition)
基金 China NSF grants(10761001)
关键词 共轭梯度法 无约束优化问题 全局收敛 conjugate gradient method unconstrained optimization global convergence
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参考文献4

  • 1Bongartz K E, Conn A R, Gould N I M, et al.CUTE: constrained and unconstrained testing environments [J]. ACM Trans Math Softw,1995,21:123-160.
  • 2Dai Y, Liao L Z. New conjugacy conditions and related nonlinear conjugate gradient methods [J]. Applied Mathenatics and Optmization, 2001, 43: 87-101.
  • 3莫利柳,洪玲,韦增欣.一类非单调修正β_k^(WYL)算法的全局收敛性[J].广西大学学报(自然科学版),2007,32(2):101-105. 被引量:3
  • 4Wei Z,Yao S,Liu L. The convergence properties of some new conjugate gradient methods [J]. Applied Mathematics and Computation, 2006,183 : 1341-1360.

二级参考文献7

  • 1戴或虹,袁亚湘.非线性共轭梯度法[M].上海:上海科学技术出版社,2001.
  • 2Wei Z X,Yao S W,Liu L Y.The convergence properties of some new conjugate gradient methods[J].Applied Mathematics and Computation,2006,doi:10.1016/j.amc.2006.05.150.
  • 3Grippo L,Lampariello F,Lucidi S.A nonmonotone line search technique for Newton's Method[J].SIAM Journal on Numerical Analysis,1986,12(3):707-716.
  • 4Lucidi S,Roma M.Nonmonotone Conjugate Gradient Methods for Optimization[M].System Modeling and Optimization A.Berlin:Springer Verlag,1995.
  • 5Liu G H,Han J,Sun D F.Global convergence of the BFGS algorithm with nonmontone line search.Optimization[J].SIAM Journal on Numerical Analysis,1995,34:147-159,
  • 6Dai Y H.On the nonmonotone line search[J].Journal of Optimization Theory and Applications,2002,112(2):315-330.
  • 7Liu G H,Jing L L,Han L X,et al.A class of nonmonotone conjugate gradient methods for unconstrained optimization[J].Journal of Optimization Theory and Applications,1999,101(1):137-140.

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