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A Barzilai-Borwein conjugate gradient method 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 8, 页码: 1511-1524
Authors:  Dai YuHong;  Kou CaiXia
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conjugate gradient method  subspace minimization  Barzilai-Bowein gradient method  line search  descent property  global convergence  
Convergence of conjugate gradient methods with constant stepsizes 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2011, 卷号: 26, 期号: 6, 页码: 895-909
Authors:  Dai, Yu-Hong
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unconstrained optimization  nonconvex  conjugate gradient method  method of shortest residuals  descent property  global convergence  
Left conjugate gradient method for non-Hermitian linear systems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2008, 卷号: 15, 期号: 10, 页码: 891-909
Authors:  Wang, Li-Ping;  Dai, Yu-Hong
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left conjugate direction method  left conjugate gradient method  non-Hermitian linear system  breakdown  block left conjugate gradient method  
The cyclic Barzilai-Borwein method for unconstrained optimization 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2006, 卷号: 26, 期号: 3, 页码: 604-627
Authors:  Dai, Yu-Hong;  Hager, William W.;  Schittkowski, Klaus;  Zhang, Hongchao
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unconstrained optimization  gradient method  convex quadratic programming  non-monotone line search  
On the asymptotic behaviour of some new gradient methods 期刊论文
MATHEMATICAL PROGRAMMING, 2005, 卷号: 103, 期号: 3, 页码: 541-559
Authors:  Dai, YH;  Fletcher, R
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Study on semi-conjugate direction methods for non-symmetric systems 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 卷号: 60, 期号: 8, 页码: 1383-1399
Authors:  Dai, YH;  Yuan, JY
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non-singular matrix  linear system  semi-conjugate direction  left conjugate direction  left conjugate direction method  left conjugate direction method  existence  breakdown  limited-memory left conjugate direction method  conjugate gradient method  
On restart procedures for the conjugate gradient method 期刊论文
NUMERICAL ALGORITHMS, 2004, 卷号: 35, 期号: 2-4, 页码: 249-260
Authors:  Dai, YH;  Liao, LZ;  Li, D
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unconstrained optimization  conjugate gradient method  BFGS updating formula  restart  global convergence  
An increasing-angle property of the conjugate gradient method and the implementation of large-scale minimization algorithms with line searches 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2003, 卷号: 10, 期号: 4, 页码: 323-334
Authors:  Dai, YH;  Martinez, JM;  Yuan, JY
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conjugate gradients  unconstrained minimization  truncated Newton methods  truncated quasi-Newton methods  large scale problems  
A class of globally convergent conjugate gradient methods 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2003, 卷号: 46, 期号: 2, 页码: 251-261
Authors:  Dai, YH;  Yuan, YX
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unconstrained optimization  conjugate gradient  line search  global convergence  
A family of hybrid conjugate gradient methods for unconstrained optimization 期刊论文
MATHEMATICS OF COMPUTATION, 2003, 卷号: 72, 期号: 243, 页码: 1317-1328
Authors:  Dai, YH
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unconstrained optimization  conjugate gradient method  line search  descent property  global convergence